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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 30, Issue 5_6 - Sep 2012
Volume 30, Issue 3_4 - May 2012
Volume 30, Issue 1_2 - Jan 2012
Selecting the target year
GUARANTEED COST CONTROL OF UNCERTAIN STOCHASTIC NEUTRAL SYSTEMS
Mao, Weihua ; Deng, Feiqi ; Wan, Anhua ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 699~717
In this paper, we deal with the robust mixed
guaranteed-cost control problem involving uncertain neutral stochastic distributed delay systems. More precisely, the aim of this problem is to design a robust mixed
guaranteed-cost controller such that the close-loop system is stochastic mean-square exponentially stable, and an
performance measure upper bound is guaranteed, for a prescribed
. Therefore, the fast convergence can be fulfilled and the proposed controller is more appealing in engineering practice. Based on the Lyapunov-Krasovskii functional theory, new delay-dependent sufficient criteria are proposed to guarantee the existence of a desired robust mixed
guaranteed cost controller, which are derived in terms of linear matrix inequalities(LMIs). Furthermore, the design problem of the optimal robust mixed
guaranteed cost controller, which minimized an
performance measure upper bound, is transformed into a convex optimization problem with LMIs constraints. Finally, two simulation examples illustrate the design procedure and verify the expected control performance.
A NEW APPROACH TO SOLVING OPTIMAL INNER CONTROL OF LINEAR PARABOLIC PDES PROBLEM
Mahmoudi, M. ; Kamyad, A.V. ; Effati, S. ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 719~728
In this paper, we develop a numerical method to solving an optimal control problem, which is governed by a parabolic partial differential equations(PDEs). Our approach is to approximate the PDE problem to initial value problem(IVP) in
. Then, the homogeneous part of IVP is solved using semigroup theory. In the next step, the convergence of this approach is verified by properties of one-parameter semigroup theory. In the rest of paper, the original optimal control problem is solved by utilizing the solution of homogeneous part. Finally one numerical example is given.
FIXED POINT THEOREMS IN MENGER SPACES AND APPLICATIONS TO METRIC SPACES
Chauhan, Sunny ; Kumar, Suneel ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 729~740
In this paper, we prove common fixed point theorems for occasionally weakly compatible maps in Menger spaces with a continuous t-norm of H-type. As application to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and generalize many known results in Menger spaces as well as in metric spaces.
INSTABILITY OF SOLUTIONS FOR NONLINEAR DIFFERENTIAL EQUATIONS OF EIGHTH ORDER WITH MULTIPLE DEVIATING ARGUMENTS
Tunc, Cemil ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 741~748
In this work, we prove the instability of solutions for a class of nonlinear functional differential equations of the eighth order with n-deviating arguments. We employ the functional Lyapunov approach and the Krasovskii criteria to prove the main results. The obtained results extend some existing results in the literature.
TWO-CLASS M/PH,G/1 QUEUE WITH IMPATIENCE OF HIGH-PRIORITY CUSTOMERS
Kim, Jeongsim ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 749~757
We consider the M/PH,G/1 queue with two classes of customers in which class-1 customers have deterministic impatience time and have preemptive priority over class-2 customers who are assumed to be infinitely patient. The service times of class-1 and class-2 customers have a phase-type distribution and a general distribution, respectively. We obtain performance measures of class-2 customers such as the queue length distribution, the waiting time distribution and the sojourn time distribution, by analyzing the busy period of class-1 customers. We also compute the moments of the queue length and the waiting and sojourn times.
SPACE-DECOMPOSITION ALGORITHM FOR SEMI-INFINITE CONSTRAINED PROGRAMMING
Huang, Ming ; Pang, Li-Ping ; Lu, Yuan ; Xia, Zun-Quan ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 759~772
In this paper, semi-infinite constrained programming, a class of constrained nonsmooth optimization problems, are transformed into unconstrained nonsmooth convex programs under the help of exact penalty function. The unconstrained objective function which owns the primal-dual gradient structure has connection with
-space decomposition. Then a
-space decomposition method can be applied for solving this unconstrained programs. Finally, the superlinear convergence algorithm is proved under certain assumption.
THREE-POINT BOUNDARY VALUE PROBLEMS FOR A COUPLED SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Yang, Wengui ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 773~785
In this paper, we establish sufficient conditions for the existence and uniqueness of solutions to a general class of three-point boundary value problems for a coupled system of nonlinear fractional differential equations. The differential operator is taken in the Caputo fractional derivatives. By using Green's function, we transform the derivative systems into equivalent integral systems. The existence is based on Schauder fixed point theorem and contraction mapping principle. Finally, some examples are given to show the applicability of our results.
A GRAPHICAL ALGORITHM FOR CALCULATING THE RANKS OF COMPLEX REACTION NETWORKS
Choo, S.M. ; Lee, N.Y. ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 787~792
We present a graphical algorithm and theorems for calculating the ranks of reaction networks. The ranks are needed to study behaviors of the networks from their structures. This approach can graphically simplify complex networks for the calculation. We show an example of a large network for the practical advantage.
CERTAIN GENERALIZED THORN GRAPHS AND THEIR WIENER INDICES
Kathiresan, KM. ; Parameswaran, C. ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 793~807
If G is any connected graph of order p; then the thorn graph
with code (
) is obtained by adding
pendent vertices to each
vertex of G. By treating the pendent edge of a thorn graph as
, we generalize a thorn graph by replacing
and their respective generalized thorn graphs are denoted by
respectively. Many chemical compounds can be treated as
of some graphs in graph theory. In this paper, we obtain the bounds of the wiener index for these generalization of thorn graphs.
A COMMON FIXED POINT RESULT FOR A (
)-WEAK CONTRACTIVE CONDITION TYPE
Aydi, Hassen ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 809~820
We establish a coincidence and a common fixed point result for four mappings involving a (
)-weak contractive condition type on a complete metric space. We take on
the same conditions given by Popescu [Fixed points for (
)-weak contractions, Appl. Math. Lett. 24 (2011), 1-4].
NOTES ON MDS SELF-DUAL CODES
Han, Sunghyu ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 821~827
In this paper, we prove that for all odd prime powers
there exist MDS(maximum distance separable) self-dual codes over
for all even lengths up to
. Additionally, we prove that there exist MDS self-dual codes of length four over
ON SOLUTIONS AND STABILITY OF A GENERALIZED QUADRATIC EQUATION ON NON-ARCHIMEDEAN NORMED SPACES
Janfada, Mohammad ; Shourvarzi, Rahele ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 829~845
In this paper we study general solutions and generalized Hyers-Ulam-Rassias stability of the following function equation
, on non-Archimedean Banach spaces. It will be proved that this equation is equivalent to the so-called quadratic functional equation.
A SURVEY ON INTRUSION DETECTION SYSTEMS IN COMPUTER NETWORKS
Zarringhalami, Zohreh ; Rafsanjani, Marjan Kuchaki ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 847~864
In recent years, using computer networks (wired and wireless networks) has been widespread in many applications. As computer networks become increasingly complex, the accompanied potential threats also grow to be more sophisticated and as such security has become one of the major concerns in them. Prevention methods alone are not sufficient to make them secure; therefore, detection should be added as another defense before an attacker can breach the system. Intrusion Detection Systems (IDSs) have become a key component in ensuring systems and networks security. An IDS monitors network activities in order to detect malicious actions performed by intruders and then initiate the appropriate countermeasures. In this paper, we present a survey and taxonomy of intrusion detection systems and then evaluate and compare them.
SOME ESTIMATES OF HARMONIC MEASURE
Chung, Bohyun ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 865~869
In , D. Gaier has given an estimates of harmonic measure. In this paper, we generalize for the K-quasiconformal mapping the corresponding result.
LINEAR EDGE GEODETIC GRAPHS
Santhakumaran, A.P. ; Jebaraj, T. ; Ullas Chandran, S.V. ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 871~882
For a connected graph G of order
, an ordered set
of vertices in G is a linear edge geodetic set of G if for each edge
in G, there exists an index
such that e lie on a
geodesic in G, and a linear edge geodetic set of minimum cardinality is the linear edge geodetic number
of G. A graph G is called a linear edge geodetic graph if it has a linear edge geodetic set. The linear edge geodetic numbers of certain standard graphs are obtained. Let
denote the linear geodetic number and the edge geodetic number, respectively of a graph G. For positive integers
, there exists a connected linear edge geodetic graph with rad
. It is shown that for each pair
of integers with
, there is a connected linear edge geodetic graph G with
DYNAMIC AND CONTROLLABILITY OF A NONLINEAR WASTEWATER TREATMENT PROBLEM
Jourani, Abderrahim ; Serhani, Mustapha ; Boutoulout, Ali ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 883~902
In this work we deal with a nonlinear dynamical system, namely the wastewater treatment model. We proceed to a dynamical analysis of the model. Invariance, boundness, controllability and the sensitivity with respect the initial conditions are studied. On the other hand, using the nonsmooth analysis tools, we look for the viability of the model, that is, the necessary and sufficient conditions under which trajectories move in a suitable time-moving sets, to avoid the washing problem (died of bacteria).
A NEW PROOF ABOUT THE DECIMATIONS WITH NIHO TYPE FIVE-VALUED CROSS-CORRELATION FUNCTIONS
Kim, Han-Doo ; Cho, Sung-Jin ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 903~911
be two maximal length sequences of period
. The cross-correlation is defined by
. In this paper, we propose a new proof for finding the values and the number of occurrences of each value of
is a positive integer.
ODD-EVEN GRACEFUL GRAPHS
Sridevi, R. ; Navaneethakrishnan, S. ; Nagarajan, A. ; Nagarajan, K. ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 913~923
The Odd-Even graceful labeling of a graph G with
edges means that there is an injection
such that, when each edge
is assigned the label
, the resulting edge labels are
. A graph which admits an odd-even graceful labeling is called an odd-even graceful graph. In this paper, we prove that some well known graphs namely
are Odd-Even graceful.
N-SOLITON SOLUTIONS FOR THE SINE-GORDON EQUATION OF DIFFERENT DIMENSIONS
Wazwaz, Abdul-Majid ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 925~934
In this work the sine-Gordon equation will be examined for multiple soliton solutions. The higher dimensional sine-Gordon equations will be studied for multiple soliton solutions as well. The simplified form of the Hirota's method will be employed to conduct this analytic study.
ITERATIVE ALGORITHM FOR A NEW SYSTEM OF GENERALIZED SET-VALUED QUASI-VARIATIONAL-LIKE INCLUSIONS WITH (A,
)-ACCRETIVE MAPPINGS IN BANACH SPACES
Jeong, Jae Ug ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 935~950
In this paper, we introduce and study a new system of generalized set-valued quasi-variational-like inclusions with (A,
)-accretive mapping in Banach spaces. By using the resolvent operator associated with (A,
)-accretive mappings, we construct a new iterative algorithm for approximating the solution of this system of variational inclusions. We also prove the existence of solutions and the convergence of the sequences generated by the algorithm in Banach spaces. The results presented in this paper extend and improve some known results in the literature.
SOLVING PARTIAL DIFFERENTIAL ALGEBRAIC EQUATIONS BY COLLOCATION AND RADIAL BASIS FUNCTIONS
Bao, Wendi ; Song, Yongzhong ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 951~969
In this paper, we propose a class of meshless collocation approaches for the solution of time dependent partial differential algebraic equations (PDAEs) in terms of a radial basis function interpolation numerical scheme. Kansa's method and the Hermite collocation method (HCM) for PDAEs are given. A sensitivity analysis of the solutions from different shape parameter c is obtained by numerical experiments. With use of the random collocation points, we have obtain the more accurate solution by the methods than those by the finite difference method for the PDAEs with index-2, i.e, we avoid the influence from an index jump of PDAEs in some degree. Several numerical experiments show that the methods are efficient.
CONVERGENCE OF THE NONMONOTONE PERRY-SHANNO METHOD FOR UNCONSTRAINED OPTIMIZATION
Ou, Yigui ; Ma, Wei ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 971~980
In this paper, a method associating with one new form of nonmonotone linesearch technique is proposed, which can be regarded as a generalization of the Perry-Shanno memoryless quasi-Newton type method. Under some reasonable conditions, the global convergence of the proposed method is proven. Numerical tests show its efficiency.
NEW HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS
Kim, Kyoum Sun ; Lim, Hyo Jin ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 981~992
Integro-differential equations arise in modeling various physical and engineering problems. Several numerical and analytical methods have been developed to solving such equations. We introduce the NHPM for solving nonlinear integro-differential equations. Several examples for solving integro-differential equations are presented to illustrate the efficiency of the proposed NHPM.
ON THE CRITICAL GROUP OF
Raza, Zahid ; Waheed, Seemal Abdul ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 993~1003
The family of graphs
is defined by taking the simple whee graph
rim vertices and then adding three extra vertices on every rim edge of the wheel. In this paper, the critical group of this whole family of graphs is investigated.
RICCATI TRANSFORMATION AND SUBLINEAR OSCILLATION FOR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS
Tripathy, Arun Kumar ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 1005~1021
This work is concerned with oscillation of the second order sublinear neutral delay dynamic equations of the form
on a time scale
by means of Riccati transformation technique, under the assumptions
, where 0 <
is a quotient of odd positive integers.
ROUGH FILTERS OF BE-ALGEBRAS
Kang, Seung Eel ; Ahn, Sun Shin ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 1023~1030
Rough sets and rough filter in BE-algebras are established an some related their properties are discussed.
EXISTENCE AND GLOBALLY EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF IMPULSIVE FUZZY BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS
Zhang, Qianhong ; Yang, Lihui ; Liao, Daixi ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 1031~1049
In this paper, a class of impulsive fuzzy bi-directional associative memory (BAM) neural networks with distributed delays and variable coefficients are considered. Using Lyapunov functional method and fixed point theorem, we derived some sufficient conditions for the existence and globally exponential stability of unique periodic solution of the networks. The results obtained are new and extend the previous known results. In addition, an example is given to show the effectiveness of our results obtained.
EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF GENERALIZED HOPFIELD NEURAL NETWORKS WITH TIME-VARYING NEUTRAL DELAYS
Yang, Wengui ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 1051~1065
In this paper, the global stability and almost periodicity are investigated for generalized Hopfield neural networks with time-varying neutral delays. Some sufficient conditions are obtained for the existence and globally exponential stability of almost periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper are new and complement previously known results. Finally, an example is given to demonstrate the effectiveness of our results.
COMMON FIXED POINT THEOREMS FOR MAPPINGS ON CONE METRIC SPACES
Kim, Jeong-Jin ; Bae, Jong-Sook ; Cho, Seong-Hoon ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 1067~1075
In this paper we generalize the results of Ili
. Also, we generalize one of Berinde's results to cone metric spaces. And we introduce the notion of compatible mappings of type (BC), and we establish a common fixed point theorem for these mappings.
SOMEWHAT FUZZY PRE-IRRESOLUTE CONTINUOUS MAPPINGS
Im, Young Bin ; Lee, Joo Sung ; Cho, Yung Duk ;
Journal of applied mathematics & informatics, volume 30, issue 5_6, 2012, Pages 1077~1084
We define and characterize a somewhat fuzzy pre-irresolute continuous mapping and a somewhat fuzzy irresolute preopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.