Go to the main menu
Skip to content
Go to bottom
REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal of applied mathematics & informatics
Journal Basic Information
Journal DOI :
The Korean Society of Computational and Applied Mathematics
Editor in Chief :
Cheon-Seoung Ryoo / Hong-Tae Shim
Volume & Issues
Volume 29, Issue 5_6 - Sep 2011
Volume 29, Issue 3_4 - May 2011
Volume 29, Issue 1_2 - Jan 2011
Selecting the target year
TUBERCULOSIS TRANSMISSION MODEL WITH CASE DETECTION AND TREATMENT
Bhunu, C.P. ; Mushayabasa, S. ; Magombedze, G. ; Roeger, L.I. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 529~546
A deterministic tuberculosis model for theoretically assessing the potential impact of the combined effects of case detection in the presence of treatment is formulated. The qualitative features of its equilibria are analyzed and it is found that the disease-free equilibrium may not be globally asymptotically stable when the reproduction number is less than unity. This disease threshold number is further used to assess the impact of active TB case finding alone and in conjunction with treatment. A critical threshold parameter
say for which case detection will have a positive impact is derived. Using the Centre Manifold theory, the model may exhibit the phenomenon of backward bifurcation (coexistence of a locally stable endemic equilibrium with a stable disease-free equilibrium) when the reproduction number is less than unity. It is shown that the possibility of backward bifurcation occurring decreases with increase case detection. Graphical representations suggest that increase in case finding accompanied by treatment of detected TB cases, result in a marked decrease of TB cases (both latent and active TB).
ON THE COMPUTATION OF THE NON-PERIODIC AUTOCORRELATION FUNCTION OF TWO TERNARY SEQUENCES AND ITS RELATED COMPLEXITY ANALYSIS
Koukouvinos, Christos ; Simos, Dimitris E. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 547~562
We establish a new formalism of the non-periodic autocorrelation function (NPAF) of two sequences, which is suitable for the computation of the NPAF of any two sequences. It is shown, that this encoding of NPAF is efficient for sequences of small weight. In particular, the check for two sequences of length n having weight w to have zero NPAF can be decided in
. For n >
, the complexity is O(n) thus we cannot expect asymptotically faster algorithms.
SYMMETRY REDUCTIONS, VARIABLE TRANSFORMATIONS AND EXACT SOLUTIONS TO THE SECOND-ORDER PDES
Liu, Hanze ; Liu, Lei ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 563~572
In this paper, the Lie symmetry analysis is performed on the three mixed second-order PDEs, which arise in fluid dynamics, nonlinear wave theory and plasma physics, etc. The symmetries and similarity reductions of the equations are obtained, and the exact solutions to the equations are investigated by the dynamical system and power series methods. Then, the exact solutions to the general types of PDEs are considered through a variable transformation. At last, the symmetry and integration method is employed for reducing the nonlinear ODEs.
A MODIFIED NONMONOTONE FILTER TRUST REGION METHOD FOR SOLVING INEQUALITY CONSTRAINED PROGRAMMING
Wang, Hua ; Pu, Dingguo ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 573~585
SQP method is one of the most important methods for solving nonlinear programming. But it may fail if the quadratic subproblem is inconsistent. In this paper, we propose a modified nonmonotone filter trust region method in which the QP subproblem is consistent. By means of nonmonotone filter, this method has no demand on the penalty parameter which is difficult to obtain. Moreover, the restoration phase is not needed any more. Under reasonable conditions, we obtain the global convergence of the algorithm. Some numerical results are presented.
CONTROLLABILITY OF STOCHASTIC FUNCTIONAL INTEGRODIFFERENTIAL EVOLUTION SYSTEMS
Kokila, J. ; Balachandran, K. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 587~601
In this paper, we prove the existence and uniqueness of mild solution for stochastic functional integrodifferential evolution equations and derive sufficient conditions for the controllability results. As an illustration we consider the controllability for a system governed by a random motion of a string.
A GENERAL ITERATIVE METHOD BASED ON THE HYBRID STEEPEST DESCENT SCHEME FOR VARIATIONAL INCLUSIONS, EQUILIBRIUM PROBLEMS
Tian, Ming ; Lan, Yun Di ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 603~619
To the best of our knowledge, it would probably be the first time in the literature that we clarify the relationship between Yamada's method and viscosity iteration correctly. We design iterative methods based on the hybrid steepest descent algorithms for solving variational inclusions, equilibrium problems. Our results unify, extend and improve the corresponding results given by many others.
A GENERAL ITERATIVE ALGORITHM COMBINING VISCOSITY METHOD WITH PARALLEL METHOD FOR MIXED EQUILIBRIUM PROBLEMS FOR A FAMILY OF STRICT PSEUDO-CONTRACTIONS
Jitpeera, Thanyarat ; Inchan, Issara ; Kumam, Poom ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 621~639
The purpose of this paper is to introduce a general iterative process by viscosity approximation method with parallel method to ap-proximate a common element of the set of solutions of a mixed equilibrium problem and of the set of common fixed points of a finite family of
-strict pseudo-contractions in a Hilbert space. We obtain a strong convergence theorem of the proposed iterative method for a finite family of
-strict pseudo-contractions to the unique solution of variational inequality which is the optimality condition for a minimization problem under some mild conditions imposed on parameters. The results obtained in this paper improve and extend the corresponding results announced by Liu (2009), Plubtieng-Panpaeng (2007), Takahashi-Takahashi (2007), Peng et al. (2009) and some well-known results in the literature.
THE NEW ALGORITHM FOR
DECOMPOSITION OF BLOCK HANKEL MATRICES
Bao, Wendi ; Lv, Zhongquan ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 641~651
In this paper, with use of the displacement matrix, two special matrices are constructed. By these special matrices the block decompositions of the block symmetric Hankel matrix and the inverse of the Hankel matrix are derived. Hence, the algorithms according to these decompositions are given. Furthermore, the numerical tests show that the algorithms are feasible.
A HYBRID METHOD FOR NCP WITH
Zhou, Qian ; Ou, Yi-Gui ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 653~668
This paper presents a new hybrid method for solving nonlinear complementarity problems with
-functions. It can be regarded as a combination of smoothing trust region method with ODE-based method and line search technique. A feature of the proposed method is that at each iteration, a linear system is only solved once to obtain a trial step, thus avoiding solving a trust region subproblem. Another is that when a trial step is not accepted, the method does not resolve the linear system but generates an iterative point whose step-length is defined by a line search. Under some conditions, the method is proven to be globally and superlinearly convergent. Preliminary numerical results indicate that the proposed method is promising.
STRONG CONVERGENCE OF HYBRID METHOD FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SEMIGROUPS
Liu, Li ; Wang, Lijing ; Su, Yongfu ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 669~680
In this paper, some strong convergence theorems are obtained for hybrid method for modified Ishikawa iteration process of asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups in Hilbert spaces. The results presented in this article generalize and improve results of Tae-Hwa Kim and Hong-Kun Xu and others. The convergence rate of the iteration process presented in this article is faster than hybrid method of Tae-Hwa Kim and Hong-Kun Xu and others.
EXISTENCE FOR A NONLINEAR IMPULSIVE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACES
Yan, Zuomao ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 681~696
In this paper, we consider the existence of mild solutions for a certain class of nonlinear impulsive functional evolution integrodifferential equation with nonlocal conditions in Banach spaces. A sufficient condition is established by using Schaefer's fixed point theorem combined with an evolution system. An example is also given to illustrate our result.
PROJECTION ALGORITHMS WITH CORRECTION
Nicola, Aurelian ; Popa, Constantin ; Rude, Ulrich ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 697~712
We present in this paper two versions of a general correction procedure applied to a classical linear iterative method. This gives us the possibility, under certain assumptions, to obtain an extension of it to inconsistent linear least-squares problems. We prove that some well known extended projection type algorithms from image reconstruction in computerized tomography fit into one or the other of these general versions and are derived as particular cases of them. We also present some numerical experiments on two phantoms widely used in image reconstruction literature. The experiments show the importance of these extension procedures, reflected in the quality of reconstructed images.
QUASI-INTERPOLATORY APPROXIMATION SCHEME FOR MULTIVARIATE SCATTERED DATA
Yoon, Jung-Ho ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 713~719
The problem of approximation from a set of scattered data arises in a wide range of applied mathematics and scientific applications. In this study, we present a quasi-interpolatory approximation scheme for scattered data approximation problem, which reproduces a certain space of polynomials. The proposed scheme is local in the sense that for an evaluation point, the contribution of a data value to the approximating value is decreasing rapidly as the distance between two data points is increasing.
DYNAMIC BEHAVIOUR FOR A NONAUTONOMOUS SMOKING DYNAMICAL MODEL WITH DISTRIBUTED TIME DELAY
Samanta, G.P. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 721~741
In this paper we have considered a dynamical mathematical model of the sub-populations of potential smokers (non-smokers), smokers, smokers who temporarily quit smoking, smokers who permanently quit smoking and a class of smoking associated illness by introducing time dependent parameters and distributed time delay to acquire smoking habit. Here, we have established some sufficient conditions on the permanence and extinction of the smoking class in the community by using inequality analytical technique. We have introduced some new threshold values
and further obtained that the smoking class in the community will be permanent when
> 1 and the smoking class in the community will be going to extinct when
< 1. By Lyapunov functional method, we have also obtained some sufficient conditions for global asymptotic stability of this model. Computer simulations are carried out to explain the analytical findings. The aim of the analysis of this model is to identify the parameters of interest for further study, with a view to informing and assisting policy-maker in targeting prevention and treatment resources for maximum effectiveness.
COINCIDENCE AND COMMON FIXED POINTS OF NONCOMPATIBLEMAPS
Beg, Ismat ; Abbas, Mujahid ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 743~752
Fixed point theorems for two hybrid pairs of single valued and multivalued noncompatible maps under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. These results extend, unify and improve the earlier comparable known results.
CONVERGENCE OF MULTI-RELAXED NONSTATIONARY MULTISPLITTING METHODS
Oh, Se-Young ; Yun, Jae-Heon ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 753~762
Recently, Cheng et al.  introduced new nonstationary multisplitting methods with multi-relaxed parameters. In this paper, we first provide correct proofs for convergence results of the multi-relaxed nonstationary multisplitting method which have not been proved completely by Cheng et al., and then we provide new convergence results for the multirelaxed nonstationary two-stage multisplitting method.
APPLICATION OF EXP-FUNCTION METHOD FOR A CLASS OF NONLINEAR PDE'S ARISING IN MATHEMATICAL PHYSICS
Parand, Kourosh ; Amani Rad, Jamal ; Rezaei, Alireza ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 763~779
In this paper we apply the Exp-function method to obtain traveling wave solutions of three nonlinear partial differential equations, namely, generalized sinh-Gordon equation, generalized form of the famous sinh-Gordon equation, and double combined sinh-cosh-Gordon equation. These equations play a very important role in mathematical physics and engineering sciences. The Exp-Function method changes the problem from solving nonlinear partial differential equations to solving a ordinary differential equation. Mainly we try to present an application of Exp-function method taking to consideration rectifying a commonly occurring errors during some of recent works.
MEAN SQUARE STABILITY IN A MODIFIED LESLIE-GOWER AND HOLLING-TYPE II PREDATOR-PREY MODEL
Pal, Pallav Jyoti ; Sarwardi, Sahabuddin ; Saha, Tapan ; Mandal, Prashanta Kumar ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 781~802
Of concern in the paper is a Holling-Tanner predator-prey model with modified version of the Leslie-Gower functional response. Dynamical behaviours such as stability, permanence and Hopf bifurcation have been carried out deterministically. Using the normal form theory and center manifold theorem, the explicit formulae determining the stability and direction of Hopf bifurcation have been derived. The deterministic model is extended to a stochastic one by perturbing the growth equation of prey and predator by white and colored noises and finally the mean square stability of the stochastic model systems is investigated analytically. An extensive quantitative analysis has been performed based on numerical computation so as to validate the applicability of the proposed mathematical model.
ALGORITHMIC SOLUTION FOR M/M/c RETRIAL QUEUE WITH
Shin, Yang-Woo ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 803~811
We present an algorithmic solution for the stationary distribution of the M/M/c retrial queue in which the retrial times of each customer in orbit are of phase type distribution of order 2. The system is modeled by the level dependent quasi-birth-and-death (LDQBD) process.
A HIGHER ORDER NUMERICAL SCHEME FOR SINGULARLY PERTURBED BURGER-HUXLEY EQUATION
Jiwrai, Ram ; Mittal, R.C. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 813~829
In this article, we present a numerical scheme for solving singularly perturbed (i.e. highest -order derivative term multiplied by small parameter) Burgers-Huxley equation with appropriate initial and boundary conditions. Most of the traditional methods fail to capture the effect of layer behavior when small parameter tends to zero. The presence of perturbation parameter and nonlinearity in the problem leads to severe difficulties in the solution approximation. To overcome such difficulties the present numerical scheme is constructed. In construction of the numerical scheme, the first step is the dicretization of the time variable using forward difference formula with constant step length. Then, the resulting non linear singularly perturbed semidiscrete problem is linearized using quasi-linearization process. Finally, differential quadrature method is used for space discretization. The error estimate and convergence of the numerical scheme is discussed. A set of numerical experiment is carried out in support of the developed scheme.
APPLICATION OF LINEAR PROGRAMMING FOR SOLVING FUZZY TRANSPORTATION PROBLEMS
Kumar, Amit ; Kaur, Amarpreet ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 831~846
There are several methods, in the literature, for finding the fuzzy optimal solution of fully fuzzy transportation problems (transportation problems in which all the parameters are represented by fuzzy numbers). In this paper, the shortcomings of some existing methods are pointed out and to overcome these shortcomings, a new method (based on fuzzy linear programming formulation) is proposed to find the fuzzy optimal solution of unbalanced fuzzy transportation problems with a new representation of trapezoidal fuzzy numbers. The advantages of the proposed method over existing method are discussed. Also, it is shown that it is better to use the proposed representation of trapezoidal fuzzy numbers instead of existing representation of trapezoidal fuzzy numbers for finding the fuzzy optimal solution of fuzzy transportation problems. To illustrate the proposed method a fuzzy transportation problem (FTP) is solved by using the proposed method and the obtained results are discussed. The proposed method is easy to understand and to apply for finding the fuzzy optimal solution of fuzzy transportation problems occurring in real life situations.
COMPLETELY INTEGRABLE COUPLED POTENTIAL KDV EQUATIONS
Wazwaz, Abdul-Majid ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 847~858
We make use of the simplified Hirota's bilinear method with computer symbolic computation to study a variety of coupled potential KdV (pKdV) equations. Each coupled equation is completely integrable and gives multiple soliton solutions and multiple singular soliton solutions. The phase shifts for all coupled pKdV equations are identical whereas the coefficients of the obtained solitons are not identical. The four coupled pKdV equations are resonance free.
SOME GENERALIZATIONS OF THE FEJ
R AND HERMITE-HADAMARD INEQUALITIES IN H
Huy, Vu Nhat ; Chung, Nguyen Thanh ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 859~868
In this article, by considering error inequalities, we propose a new way to treat the Fej
r and Hermite-Hadamard inequalities involving n knots and m-th derivative on H
lder spaces. Moreover, some new related estimations are also given.
ON EFFICIENT TWO-FLOW ZERO-KNOWLEDGE IDENTIFICATION AND SIGNATURE
Lee, Young-Whan ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 869~877
In this paper, we propose an efficient two-flow zero-knowledge blind identification protocol on the elliptic curve cryptographic (ECC) system. A. Saxena et al. first proposed a two-flow blind identification protocol in 2005. But it has a weakness of the active-intruder attack and uses the pairing operation that causes slow implementation in smart cards. But our protocol is secure under such attacks because of using the hash function. In particular, it is fast because we don't use the pairing operation and consists of only two message flows. It does not rely on any underlying signature or encryption scheme. Our protocol is secure assuming the hardness of the Discrete-Logarithm Problem in bilinear groups.
GLOBAL STABILITY OF A NONLINEAR DIFFERENCE EQUATION
Wang, Yanqin ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 879~889
In this paper, we investigate the local asymptotic stability, the invariant intervals, the global attractivity of the equilibrium points, and the asymptotic behavior of the solutions of the difference equation
, n = 0, 1,
, where the parameters a, b, A, B, C and the initial conditions
are positive real numbers.
-STABILITY FOR IMPULSIVE DYNAMIC SYSTEMS WITH TIME SCALES AND INITIAL TIME DIFFERENCE
Chen, Weisong ; Han, Zhenlai ; Sun, Shurong ; Li, Tongxing ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 891~900
In this paper, we study the impulsive dynamic systems on time scales with initial time difference. By employing cone-valued Lyapunov functions, some comparison theorems and several practical
-stability criteria for impulsive system on time scales with initial time difference are obtained.
SHARP THRESHOLDS OF BOSE-EINSTEIN CONDENSATES WITH AN ANGULAR MOMENTUM ROTATIONAL TERM
Lu, Zhongxue ; Liu, Zuhan ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 901~908
In this paper, we establish a sharp condition of global existence for the solution of the Gross-Pitaevskii equation with an angular momentum rotational term. This condition is related to the ground state solution of some steady-state nonlinear Schrodinger equation.
A NEWTON-IMPLICIT ITERATIVE METHOD FOR NONLINEAR INVERSE PROBLEMS
Meng, Zehong ; Zhao, Zhenyu ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 909~920
A regularized Newton method for nonlinear ill-posed problems is considered. In each Newton step an implicit iterative method with an appropriate stopping rule is proposed and analyzed. Under certain assumptions on the nonlinear operator, the convergence of the algorithm is proved and the algorithm is stable if the discrepancy principle is used to terminate the outer iteration. Numerical experiment shows the effectiveness of the method.
EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEM WITH CONCAVE-CONVEX NONLINEARITIES
Yin, Honghui ; Yang, Zuodong ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 921~936
In this paper, our main purpose is to establish the existence of weak solutions of a weak solutions of a class of p-q-Laplacian system involving concave-convex nonlinearities:
is a bounded domain in
> 0, and 1 <
is the critical Sobolev exponent,
is the s-Laplacian of u. when 1 < r < q < p < N, we prove that there exist infinitely many weak solutions. We also obtain some results for the case 1 < q < p < r <
. The existence results of solutions are obtained by variational methods.
THE METHOD OF ASYMPTOTIC INNER BOUNDARY CONDITION FOR SINGULAR PERTURBATION PROBLEMS
Andargie, Awoke ; Reddy, Y.N. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 937~948
The method of Asymptotic Inner Boundary Condition for Singularly Perturbed Two-Point Boundary value Problems is presented. By using a terminal point, the original second order problem is divided in to two problems namely inner region and outer region problems. The original problem is replaced by an asymptotically equivalent first order problem and using the stretching transformation, the asymptotic inner condition in implicit form at the terminal point is determined from the reduced equation of the original second order problem. The modified inner region problem, using the transformation with implicit boundary conditions is solved and produces a condition for the outer region problem. We used Chawla's fourth order method to solve both the inner and outer region problems. The proposed method is iterative on the terminal point. Some numerical examples are solved to demonstrate the applicability of the method.
REMARKS ON CRITERIA FOR THE EXISTENCE OF A POSITIVE EQUILIBRIUM IN REACTION NETWORKS
Choo, S.M. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 949~953
It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. Another is using some conditions on nodes, which can apply to large-size networks compared to deficiency. In this work, we show the relation between deficiency and the conditions.
ANALYSIS OF A NONAUTONOMOUS PREDATOR-PREY MODEL INCORPORATING A PREY REFUGE AND TIME DELAY
Samanta, G.P. ; Garain, D.N. ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 955~967
In this paper we have considered a nonautonomous predator-prey model with discrete time delay due to gestation, in which there are two prey habitats linked by isotropic migration. One prey habitat contains a predator and the other (a refuge) does not. Here, we have established some sufficient conditions on the permanence of the system by using in-equality analytical technique. By Lyapunov functional method, we have also obtained some sufficient conditions for global asymptotic stability of this model. We have observed that the per capita migration rate among two prey habitats and the time delay has no effect on the permanence of the system but it has an effect on the global asymptotic stability of this model. The aim of the analysis of this model is to identify the parameters of interest for further study, with a view to informing and assisting policy-maker in targeting prevention and treatment resources for maximum effectiveness.
BOUNDARY BEHAVIOR OF LARGE SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS
Sun, Juan ; Yang, Zuodong ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 969~980
In this paper, our main purpose is to consider the quasilinear elliptic equation
on a bounded smooth domain
, where p > 1, N > 1 and f is a smooth, increasing function in [0,
). We get some estimates of a solution u satisfying
under different conditions on f.
SELF-ADJOINT INTERPOLATION ON Ax = y IN ALG
Kwak, Sung-Kon ; Kang, Joo-Ho ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 981~986
Given vectors x and y in a Hilbert space
, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator for n vectors satisfies the equations
, for i = 1, 2,
, n. In this paper the following is proved : Let
be a subspace lattice on a Hilbert space
. Let x and y be vectors in
be the projection onto sp(x). If
, then the following are equivalent. (1) There exists an operator A in Alg
such that Ax = y, Af = 0 for all f in
. (2) sup
and < x, y >=< y, x >.
OPTIMAL PARTIAL HEDGING USING COHERENT MEASURE OF RISK
Kim, Ju-Hong ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 987~1000
We show how the dynamic optimization problem with the capital constraint can be reduced to the problem to find an optimal modified claim
is a randomized test in the static problem. Coherent risk measure is used as risk measure in the
random variable spaces. The paper is written in expository style to some degree. We use an average risk of measure(AVaR), which is a special coherent risk measure, to see how to hedge the modified claim in a complete market model.
SUPERREFLEXIVITY AND PROPERTY (
) IN BANACH SPACES
Cho, Kyug-Eun ; Lee, Chong-Sung ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1001~1006
In this paper, we study the relation between superreflexivity (SR) and property (
) in Banach spaces and get the following diagrams.
RIGHT SEMIDIRECT SUMS IN NEAR-RINGS
Cho, Yong-Uk ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1007~1010
In this paper, we begin with some basic concepts of substructures of near-rings, and then using some right substructures of near-rings, we may define the right semidirect sum of near-rings. Next, we investigate that every near-ring can be decomposed with right semidirect sum of right ideal by right R-subgroup, and then give some examples.
ON GROUND STATE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC EQUATIONS
Yin, Honghui ; Yang, Zuodong ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1011~1016
In this paper, our main purpose is to establish the existence of positive bounded entire solutions of second order quasilinear elliptic equation on
. we obtained the results under different suitable conditions on the locally H
lder continuous nonlinearity f(x, u), we needn't any mono-tonicity condition about the nonlinearity.
OVERVIEWS ON LIMIT CONCEPTS OF A SEQUENCE OF FUZZY NUMBERS I
Kwon, Joong-Sung ; Shim, Hong-Tae ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1017~1025
In this paper, we survey various notions and results related to statistical convergence of a sequence of fuzzy numbers, in which statistical convergence for fuzzy numbers was first introduced by Nuray and Savas in 1995. We will go over boundedness, convergence of sequences of fuzzy numbers, statistically convergence and statistically Cauchy sequences of fuzzy numbers, statistical limit and cluster point for sequences of fuzzy numbers, statistical mono-tonicity and boundedness of a sequence of fuzzy numbers and finally statistical limit inferior and limit inferior for the statistically bounded sequences of fuzzy numbers.
FIXED AND PERIODIC POINT THEOREMS IN QUASI-METRIC SPACES
Cho, Seong-Hoon ; Lee, Jee-Won ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1027~1035
In this paper, we introduce the concept of generalized weak q-contractivity for multivalued maps defined on quasi-metric spaces. A new fixed point theorem for these maps is established. The convergene of iterate schem of the form
is investigated. And a new periodic point theorem for weakly q-contractive self maps of quasi-metric spaces is proved.
A NOTE ON THE PARAMETRIZATION OF MULTIWAVELETS OF DGHM TYPE
Hwang, Seok-Yoon ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1037~1042
Multiwavelet coefficients can be constructed from the multi-scaling coefficients by using the factorization for paraunitary matrices. In this paper we present a procedure for parametrizing all possible multi-wavelet coefficients corresponding to the multiscaling coefficients of DGHM type.
ON THE APPLICATION OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL
Choi, Won ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1043~1048
W. Choi() identified and characterized the limiting diffusion of this diploid model by defining discrete generator for the rescaled Markov chain. We denote by F the homozygosity and by S the average selection intensity. In this note, we define the Fleming-Viot process with generator of limiting diffusion and provide exact result for the relations of F and S.
Ahn, Sun-Shin ; Kim, Young-Hee ; So, Keum-Sook ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1049~1057
In this paper, we fuzzify the concept of BE-algebras, investigate some of their properties. We give a characterization of fuzzy BE-algebras, and discuss a characterization of fuzzy BE-algebras in terms of level subalgebras of fuzzy BE-algebras.
ON FUZZY S-WEAKLY r-M-CONTINUOUS FUNCTIONS ON FUZZY r-MINIMAL SPACES
Min, Won-Keun ; Kim, Myeong-Hwan ;
Journal of applied mathematics & informatics, volume 29, issue 3_4, 2011, Pages 1059~1066
We introduce the concept of fuzzy S-weakly r-M-continuous functions on fuzzy r-minimal spaces, and investigate some characterizations of such functions and the relations between the continuity and fuzzy r-minimal compactness on fuzzy r-minimal spaces.