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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
STABILITY AND BIFURCATION ANALYSIS OF A LOTKA-VOLTERRA MODEL WITH TIME DELAYS
Xu, Changjin ; Liao, Maoxin ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 1~22
In this paper, a Lotka-Volterra model with time delays is considered. A set of sufficient conditions for the existence of Hopf bifurcation are obtained via analyzing the associated characteristic transcendental equation. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by applying the normal form method and center manifold theory. Finally, the main results are illustrated by some numerical simulations.
REGULARIZED SOLUTION TO THE FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND WITH NOISY DATA
Wen, Jin ; Wei, Ting ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 23~37
In this paper, we use a modified Tikhonov regularization method to solve the Fredholm integral equation of the first kind. Under the assumption that measured data are contaminated with deterministic errors, we give two error estimates. The convergence rates can be obtained under the suitable choices of regularization parameters and the number of measured points. Some numerical experiments show that the proposed method is effective and stable.
SOME EXISTENCE RESULTS ON PERIODIC SOLUTIONS OF ORDINARY (q, p)-LAPLACIAN SYSTEMS
Pasca, Daniel ; Tang, Chun-Lei ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 39~48
Some existence theorems are obtained for periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian by the minimax methods in critical point theory.
THE LOCATION FOR EIGENVALUES OF COMPLEX MATRICES BY A NUMERICAL METHOD
Wu, Junliang ; Zhang, Pingping ; Wang, Yong ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 49~53
In this paper, we adopt a numerical method to establish the smallest set to contain all Ger
gorin discs of a given complex matrix and its some similar matrices. With the smallest set, a new estimation for all eigenvalues of the matrix is obtained.
SOLUTION OF A NONLINEAR EQUATION WITH RIEMANN-LIOUVILLES FRACTIONAL DERIVATIVES BY HOMOTOPY PERTURBATION METHOD
Mohyud-Din, Syed Tauseef ; Yildirim, Ahmet ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 55~60
The aim of the paper is to apply Homotopy Perturbation Method (HPM) for the solution of a nonlinear fractional differential equation. Finally, the solution obtained by the Homotopy perturbation method has been numerically evaluated and presented in the form of tables and then compared with those obtained by truncated series method. A good agreement of the results is observed.
STRONG CONVERGENCE OF A METHOD FOR VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS OF A NONEXPANSIVE SEMIGROUP IN HILBERT SPACES
Buong, Nguyen ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 61~74
In this paper, we introduce a new iteration method based on the hybrid method in mathematical programming and the descent-like method for finding a common element of the solution set for a variational inequality and the set of common fixed points of a nonexpansive semigroup in Hilbert spaces. We obtain a strong convergence for the sequence generated by our method in Hilbert spaces. The result in this paper modifies and improves some well-known results in the literature for a more general problem.
EXISTENCE OF GLOBAL SOLUTIONS FOR A PREY-PREDATOR MODEL WITH NON-MONOTONIC FUNCTIONAL RESPONSE AND CROSS-DIFFUSION
Xu, Shenghu ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 75~85
In this paper, using the energy estimates and the bootstrap arguments, the global existence of classical solutions for a prey-predator model with non-monotonic functional response and cross-diffusion where the prey and predator both have linear density restriction is proved when the space dimension n < 10.
NEW HYBRID ALGORITHM FOR WEAK RELATIVELY NONEXPANSIVE MAPPING AND INVERSE-STRONGLY MONOTONE MAPPING IN BANACH SPACE
Zhang, Xin ; Su, Yongfu ; Kang, Jinlong ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 87~102
The purpose of this paper is to prove strong convergence theorems for finding a common element of the set of fixed points of a weak relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping by a new hybrid method in a Banach space. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space
. Our results improve and extend the corresponding results announced by Ying Liu[Ying Liu, Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space, Appl. Math. Mech. -Engl. Ed. 30(7)(2009), 925-932] and some others.
GLOBAL EXPONENTIAL STABILITY OF BAM NEURAL NETWORKS WITH IMPULSES AND DISTRIBUTED DELAYS
Shao, Yuanfu ; Luo, Zhenguo ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 103~117
By using an important lemma, some analysis techniques and Lyapunov functional method, we establish the sufficient conditions of the existence of equilibrium solution of a class of BAM neural network with impulses and distributed delays. Finally, applications and an example are given to illustrate the effectiveness of the main results.
A FULL-NEWTON STEP INFEASIBLE INTERIOR-POINT ALGORITHM FOR LINEAR PROGRAMMING BASED ON A SELF-REGULAR PROXIMITY
Liu, Zhongyi ; Chen, Yue ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 119~133
This paper proposes an infeasible interior-point algorithm with full-Newton step for linear programming. We introduce a special self-regular proximity to induce the feasibility step and also to measure proximity to the central path. The result of polynomial complexity coincides with the best-known iteration bound for infeasible interior-point methods, namely, O(n log n/
REAL ROOT ISOLATION OF ZERO-DIMENSIONAL PIECEWISE ALGEBRAIC VARIETY
Wu, Jin-Ming ; Zhang, Xiao-Lei ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 135~143
As a zero set of some multivariate splines, the piecewise algebraic variety is a kind of generalization of the classical algebraic variety. This paper presents an algorithm for isolating real roots of the zero-dimensional piecewise algebraic variety which is based on interval evaluation and the interval zeros of univariate interval polynomials in Bernstein form. An example is provided to show the proposed algorithm is effective.
USING CROOKED LINES FOR THE HIGHER ACCURACY IN SYSTEM OF INTEGRAL EQUATIONS
Hashemiparast, S.M. ; Sabzevari, M. ; Fallahgoul, H. ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 145~159
The numerical solution to the linear and nonlinear and linear system of Fredholm and Volterra integral equations of the second kind are investigated. We have used crooked lines which includ the nodes specified by modified rationalized Haar functions. This method differs from using nominal Haar or Walsh wavelets. The accuracy of the solution is improved and the simplicity of the method of using nominal Haar functions is preserved. In this paper, the crooked lines with unknown coefficients under the specified conditions change the system of integral equations to a system of equations. By solving this system the unknowns are obtained and the crooked lines are determined. Finally, error analysis of the procedure are considered and this procedure is applied to the numerical examples, which illustrate the accuracy and simplicity of this method in comparison with the methods proposed by these authors.
TWO-DIMENSIONAL MUTI-PARAMETERIZED SCHWARZ ALTERNATING METHOD
Kim, Sang-Bae ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 161~171
The convergence rate of a numerical procedure based on Schwarz Alternating Method(SAM) for solving elliptic boundary value problems depends on the selection of the interface conditions applied on the interior boundaries of the overlapping subdomains. It has been observed that the Robin condition (mixed interface condition), controlled by a parameter, can optimize SAM's convergence rate. In , one had formulated the multi-parameterized SAM and determined the optimal values of the multi-parameters to produce the best convergence rate for one-dimensional elliptic boundary value problems. However it was not successful for two-dimensional problem. In this paper, we present a new method which utilizes the one-dimensional result to get the optimal convergence rate for the two-dimensional problem.
AN AFFINE SCALING INTERIOR ALGORITHM VIA CONJUGATE GRADIENT AND LANCZOS METHODS FOR BOUND-CONSTRAINED NONLINEAR OPTIMIZATION
Jia, Chunxia ; Zhu, Detong ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 173~190
In this paper, we construct a new approach of affine scaling interior algorithm using the affine scaling conjugate gradient and Lanczos methods for bound constrained nonlinear optimization. We get the iterative direction by solving quadratic model via affine scaling conjugate gradient and Lanczos methods. By using the line search backtracking technique, we will find an acceptable trial step length along this direction which makes the iterate point strictly feasible and the objective function nonmonotonically decreasing. Global convergence and local superlinear convergence rate of the proposed algorithm are established under some reasonable conditions. Finally, we present some numerical results to illustrate the effectiveness of the proposed algorithm.
MIXED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH DIFFERENT DEVIATED ARGUMENTS
Zhang, Lihong ; Wang, Guotao ; Song, Guangxing ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 191~200
This paper deals with second order differential equations with different deviated arguments
(t)). We investigate the existence of solutions of such problems with nonlinear mixed boundary conditions. To obtain corresponding results we apply the monotone iterative technique and the lower-upper solutions method. Two examples demonstrate the application of our results.
STRONG LAW OF LARGE NUMBERS FOR ASYMPTOTICALLY NEGATIVE DEPENDENT RANDOM VARIABLES WITH APPLICATIONS
Kim, Hyun-Chull ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 201~210
In this paper, we obtain the H
nyi type inequality and the strong law of large numbers for asymptotically linear negative quadrant dependent random variables by using this inequality. We also give the strong law of large numbers for the linear process under asymptotically linear negative quadrant dependence assumption.
GLOBAL EXPONENTIAL STABILITY OF BAM FUZZY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND IMPULSES
Li, Kelin ; Zhang, Liping ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 211~225
In this paper, a class of bi-directional associative memory (BAM) fuzzy cellular neural networks with distributed delays and impulses is formulated and investigated. By employing an integro-differential inequality with impulsive initial conditions and the topological degree theory, some sufficient conditions ensuring the existence and global exponential stability of equilibrium point for impulsive BAM fuzzy cellular neural networks with distributed delays are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on the delay kernel functions and system parameters. It is believed that these results are significant and useful for the design and applications of BAM fuzzy cellular neural networks. An example is given to show the effectiveness of the results obtained here.
A VISCOSITY APPROXIMATIVE METHOD TO CES
RO MEANS FOR SOLVING A COMMON ELEMENT OF MIXED EQUILIBRIUM, VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
Jitpeera, Thanyarat ; Katchang, Phayap ; Kumam, Poom ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 227~245
In this paper, we introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a
inverse-strongly monotone mapping and the set of fixed points of a family of finitely nonexpansive mappings in a real Hilbert space by using the viscosity and Ces
ro mean approximation method. We prove that the sequence converges strongly to a common element of the above three sets under some mind conditions. Our results improve and extend the corresponding results of Kumam and Katchang [A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mapping, Nonlinear Analysis: Hybrid Systems, 3(2009), 475-86], Peng and Yao [Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems, Mathematical and Computer Modelling, 49(2009), 1816-828], Shimizu and Takahashi [Strong convergence to common fixed points of families of nonexpansive mappings, Journal of Mathematical Analysis and Applications, 211(1) (1997), 71-83] and some authors.
ON A SECURE BINARY SEQUENCE GENERATED BY A QUADRATIC POLYNOMIAL ON
Rhee, Min-Surp ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 247~255
Invertible functions with a single cycle property have many cryptographic applications. The main context in which we study them in this paper is pseudo random generation and stream ciphers. In some cryptographic applications we need a generator which generates binary sequences of period long enough. A common way to increase the size of the state and extend the period of a generator is to run in parallel and combine the outputs of several generators with different period. In this paper we will characterize a secure quadratic polynomial on
, which generates a binary sequence of period long enough and without consecutive elements.
SOME COMMON FIXED POINT THEOREMS FOR GENERALIZED f-WEAKLY CONTRACTIVE MAPPINGS
Chandok, Sumit ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 257~265
In this paper, we first prove a common fixed point theorem for generalized nonlinear contraction mappings in complete metric spaces there by generalizing and extending some known results. Then we present this result in the context of ordered metric spaces by using monotone non-decreasing mapping.
EIGENVALUES OF SECOND-ORDER VECTOR EQUATIONS ON TIME SCALES WITH BOUNDARY VALUE CONDITIONS
Wang, Yi ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 267~277
This paper is concerned with eigenvalues of second-order vector equations on time scales with boundary value conditions. Properties of eigenvalues and matrix-valued solutions are studied. Relationships between eigenvalues of different boundary value problems are discussed.
ANTI-PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH MULTIPLE DELAYS ON TIME SCALES
Shu, Jiangye ; Li, Yongkun ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 279~292
In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales:
where i = 1, 2, ..., n,j = 1, 2, ..., m. Using some analysis skills and Lyapunov method, some sufficient conditions on the existence and exponential stability of the anti-periodic solution to the above system are established.
MONOTONE CQ ALGORITHM FOR WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND MAXIMAL MONOTONE OPERATORS IN BANACH SPACES
Kang, Jinlong ; Su, Yongfu ; Zhang, Xin ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 293~309
The purpose of this article is to prove strong convergence theorems for weak relatively nonexpansive mapping which is firstly presented in this article. In order to get the strong convergence theorems for weak relatively nonexpansive mapping, the monotone CQ iteration method is presented and is used to approximate the fixed point of weak relatively nonexpansive mapping, therefore this article apply above results to prove the strong convergence theorems of zero point for maximal monotone operators in Banach spaces. Noting that, the CQ iteration method can be used for relatively nonexpansive mapping but it can not be used for weak relatively nonexpansive mapping. However, the monotone CQ method can be used for weak relatively nonexpansive mapping. The results of this paper modify and improve the results of S.Matsushita and W.Takahashi, and some others.
ERROR ESTIMATE OF EXTRAPOLATED DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY TYPE EQUATION
Ohm, Mi-Ray ; Lee, Hyun-Yong ; Shin, Jun-Yong ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 311~326
In this paper, we adopt discontinuous Galerkin methods with penalty terms namely symmetric interior penalty Galerkin methods, to solve nonlinear viscoelasticity type equations. We construct finite element spaces and define an appropriate projection of u and prove its optimal convergence. We construct extrapolated fully discrete discontinuous Galerkin approximations for the viscoelasticity type equation and prove
optimal error estimates in both spatial direction and temporal direction.
CALCULATION OF SOME TOPOLOGICAL INDICES OF SPLICES AND LINKS OF GRAPHS
Ashra, Ali Reza ; Hamzeh, Asma ; Hossein-Zadeh, Samaneh ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 327~335
Explicit formulas are given for the first and second Zagreb index, degree-distance and Wiener-type invariants of splice and link of graphs. As a consequence, the first and second Zagreb coindex of these classes of composite graphs are also computed.
NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FUZZY LINEAR PROGRAMMING
Farhadinia, Bahram ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 337~349
This paper is concerned with deriving necessary and sufficient optimality conditions for a fuzzy linear programming problem. Toward this end, an equivalence between fuzzy and crisp linear programming problems is established by means of a specific ranking function. Under this setting, a main theorem gives optimality conditions which do not seem to be in conflict with the so-called Karush-Kuhn-Tucker conditions for a crisp linear programming problem.
)- EXPANSION METHOD COMBINED WITH THE RICCATI EQUATION FOR FINDING EXACT SOLUTIONS OF NONLINEAR PDES
Zayed, E.M.E. ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 351~367
In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the ((
) -expansion method combined with the Riccati equation, where G =
satisfies the Riccati equation
and A, B are arbitrary constants.
SOLVABILITY OF LUIKOV'S SYSTEM OF HEAT AND MASS DIFFUSION IN ONE-DIMENSIONAL CASE
Bougoffa, Lazhar ; Al-Jeaid, Hind K. ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 369~380
This paper studies a boundary value problem for a linear coupled Luikov's system of heat and mass diffusion in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some traveling wave solutions and explicit solutions are obtained by using the transformation
= x - ct and separation method respectively.
THE USE OF ITERATIVE METHODS FOR SOLVING NAVEIR-STOKES EQUATION
Behzadi, Shadan Sadigh ; Fariborzi Araghi, Mohammad Ali ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 381~394
In this paper, a Naveir-Stokes equation is solved by using the Adomian's decomposition method (ADM), modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM), modified homotopy perturbation method (MHPM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.
FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPS UNDER E.A. PROPERTY IN FUZZY METRIC SPACES
Kumar, Sanjay ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 395~405
In this paper, we prove a common fixed point theorem for a pair of weakly compatible maps under E.A. property.
ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF NEGATIVELY ASSOCIATED RANDOM VARIABLES UNDER h-INTEGRABILITY
Ryu, Dae-Hee ; Kim, Hyeock-Jin ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 407~415
We establish strong laws of large numbers for weighted sums of arrays of negatively associated random variables under the condition of h-integrability and suitable conditions on the array of weights.
EXISTENCE AND ITERATION OF MONOTONE POSITIVE SOLUTIONS FOR THIRD-ORDER THREE-POINT BVPS
Sun, Jian-Ping ; Cao, Ke ; Zhao, Ya-Hong ; Wang, Xian-Qiang ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 417~426
This paper is concerned with the existence of monotone positive solutions for a class of nonlinear third-order three-point boundary value problem. By applying iterative techniques, we not only obtain the existence of monotone positive solutions, but also establish iterative schemes for approximating the solutions. An example is also included to illustrate the importance of the results obtained.
FINITE ELEMENT MODEL TO STUDY TWO DIMENSIONAL UNSTEADY STATE CYTOSOLIC CALCIUM DIFFUSION
Tewari, Shivendra Gajraj ; Pardasani, Kamal Raj ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 427~442
Calcium is a vital second messenger for signal transduction in neurons. Calcium plays an important role in almost every part of the human body but in neuronal cytosol, it is of utmost importance. In order to understand the calcium signaling mechanism in a better way a finite element model has been developed to study the flow of calcium in two dimensions with time. This model assumes EBA (Excess Buffering Approximation), incorporating all the important parameters like time, association rate, influx, buffer concentration, diffusion constant etc. Finite element method is used to obtain calcium concentration in two dimensions and numerical integration is used to compute effect of time over 2-D Calcium profile. Comparative study of calcium signaling in two dimensions with time is done with other important physiological parameters. A MATLAB program has been developed for the entire problem and simulated on an x64 machine to compute the numerical results.
THE CONSTRUCTION OF A NON-UNIMODAL GORENSTEIN SEQUENCE
Ahn, Jea-Man ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 443~450
In this paper, we construct a Gorenstein Artinian algebra R/J with non-unimodal Hilbert function h = (1, 13, 12, 13, 1) to investigate the algebraic structure of the ideal J in a polynomial ring R. For this purpose, we use a software system Macaulay 2, which is devoted to supporting research in algebraic geometry and commutative algebra.
MAXIMUM CURVES OF TRANSCENDENTAL ENTIRE FUNCTIONS OF THE FORM
Kim, Jeong-Heon ; Kim, Youn-Ouck ; Kim, Mi-Hwa ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 451~457
The function f(z) =
where p(z) is a polynomial of degree n has 2n Julia lines. Julia lines of
divide the complex plane into 2n equal sectors with the same vertex at the origin. In each sector,
has radial limits of 0 or innity. Main results of the paper are concerned with maximum curves of
. We deal with some properties of maximum curves of
and we give some examples of the maximum curves of functions of the form
BISHOP'S PROPERTY (
) AND SPECTRAL INCLUSIONS ON BANACH SPACES
Yoo, Jong-Kwang ; Oh, Heung-Joon ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 459~468
L(X, Y) and B
L(Y, X) such that SA = AT, TB = BS, AB = S and BA = T. Then S and T shares the same local spectral properties SVEP, Bishop's property (
, property (
) and and subscalarity. Moreover, the operators
- T and
- S have many basic operator properties in common.
SOME WAITING TIME ANALYSIS FOR CERTAIN QUEUEING POLICIES
Lim, Jong-Seul ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 469~474
In a M/G/I queue where the server alternates between busy and idle periods, we assume that firstly customers arrive at the system according to a Poisson process and the arrival process and customer service times are mutually independent, secondly the system has infinite waiting room, thirdly the server utilization is less than 1 and the system has reached a steady state. With these assumptions, we analyze waiting times on the systems where some vacation policies are considered.
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF SECOND ORDER NONLINEAR DIFFERENTIAL INEQUALITY WITH PERTURBATION
Zhang, Quanxin ; Song, Xia ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 475~483
In this paper, we study the oscillatory and asymptotic behavior of a class of second order nonlinear differential inequality with perturbation and establish several theorems by using classification and analysis, which develop and generalize some known results.
INVOLUTORY AND S+1-POTENCY OF LINEAR COMBINATIONS OF A TRIPOTENT MATRIX AND AN ARBITRARY MATRIX
Bu, Changjiang ; Zhou, Yixin ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 485~495
nonzero complex matrices, denote a linear combination of the two matrices by
are nonzero complex numbers. In this paper, we research the problem of the linear combinations in the general case. We give a sufficient and necessary condition for A is an involutive matrix and s+1-potent matrix, respectively, where
is a tripotent matrix, with
. Then, using the results, we also give the sufficient and necessary conditions for the involutory of the linear combination A, where
is a tripotent matrix, anti-idempotent matrix, and involutive matrix, respectively, and
is a tripotent matrix, idempotent matrix, and involutive matrix, respectively, with
ON SPECIAL CONFORMALLY FLAT SPACES WITH WARPED PRODUCT METRICS
Kim, Byung-Hak ; Lee, Sang-Deok ; Choi, Jin-Hyuk ; Lee, Young-Ok ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 497~504
In 1973, B. Y. Chen and K. Yano introduced the special conformally flat space for the generalization of a subprojective space. The typical example is a canal hypersurface of a Euclidean space. In this paper, we study the conditions for the base space B to be special conformally flat in the conharmonically flat warped product space
. Moreover, we study the special conformally flat warped product space
and characterize the geometric structure of
DEGREE BOUND FOR EVALUATION OF ALGEBRAIC FUNCTIONS
Choi, Sung-Woo ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 505~510
We give a constructive proof that a (partial) evaluation of a multivariate algebraic function with algebraic numbers is again an algebraic function. Especially, we obtain a bound on the degree of an evaluation with the degrees of the original algebraic function and the algebraic numbers evaluated. Furthermore, we show that our bound is sharp with an example.
ON THE SYMMETRY PROPERTIES OF THE GENERALIZED HIGHER-ORDER EULER POLYNOMIALS
Bayad, Abdelmejid ; Kim, Tae-Kyun ; Choi, Jong-Sung ; Kim, Young-Hee ; Lee, Byung-Je ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 511~516
In this paper we prove a generalized symmetry relation between the generalized Euler polynomials and the generalized higher-order (attached to Dirichlet character) Euler polynomials. Indeed, we prove a relation between the power sum polynomials and the generalized higher-order Euler polynomials..
ON m-CONVEX SETS IN PRECONVEXITY SPACES
Min, Won-Keun ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 517~521
In this paper, we introduce the concepts of m-convex set, mcconvex function and
-convex function. We study basic properties for m-convex sets and characterization for such functions.
SOME RESULTS OF SELF MAP NEAR-RINGS
Cho, Yong-Uk ;
Journal of applied mathematics & informatics, volume 29, issue 1_2, 2011, Pages 523~527
In this paper, We initiate a study of zero symmetric and constant parts of near-rings, and then apply these to self map near-rings. Next, we investigate that every near-ring can be embedded into some self map near-ring, and every zero symmetric near-ring can be embedded into some zero symmetric self map near-ring.