권호 표지

Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (KSCAM)

  • 연3회간
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)

Domain

  • Mathematics ＞ Applied Mathematics

Aim & Scope

This is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical Informatics. Thus, the major areas, such as Numerical Analysis, Discrete Optimization, Linear and Nonlinear Programming, Theory of Computation(Computational Complexity, Automata and Formal Languages), Control Theory, Theory of Algorithms, Computational Logic, Applied Combinatorics (including graphs, codes, and designs), Coding Theory, Cryptographics, Big data, AI, Fuzzy Theory with applications, Differential Equations with applications, etc., are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics, and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.

KSCI KCI SCOPUS

Volume 33 Issue 5_6

  1. MENG, CHAO;LI, XU 475
    https://doi.org/10.14317/jami.2015.475 PDF KSCI KPUBS HTML
    In this article, we deal with the uniqueness problems of meromorphic functions concerning differential polynomials and prove the following theorem. Let f and g be two nonconstant meromorphic functions, n ≥ 12 a positive integer. If fn(f3 - 1)f′ and gn(g3 - 1)g′ share (1, 2), f and g share ∞ IM, then f ≡ g. The results in this paper improve and generalize the results given by Meng (C. Meng, Uniqueness theorems for differential polynomials concerning fixed-point, Kyungpook Math. J. 48(2008), 25-35), I. Lahiri and R. Pal (I. Lahiri and R. Pal, Nonlinear differential polynomials sharing 1-points, Bull. Korean Math. Soc. 43(2006), 161-168), Meng (C. Meng, On unicity of meromorphic functions when two differential polynomials share one value, Hiroshima Math.J. 39(2009), 163-179).
  2. SALAMA, A.A.;AL-AMERY, D.G. 485
    https://doi.org/10.14317/jami.2015.485 PDF KSCI KPUBS HTML
    A computational method for solving singularly perturbed boundary value problem of differential equation with shift arguments of mixed type is presented. When shift arguments are sufficiently small (o(ε)), most of the existing method in the literature used Taylor's expansion to approximate the shift term. This procedure may lead to a bad approximation when the delay argument is of O(ε). The main idea for this work is to deal with constant shift arguments, which are independent of ε. In the present method, we construct the formally asymptotic solution of the problem using the method of composite expansion. The reduced problem is solved numerically by using operator compact implicit method, and the second problem is solved analytically. Error estimate is derived by using the maximum norm. Numerical examples are provided to support the theoretical results and to show the efficiency of the proposed method.
  3. THANGARAJ, G.;CHANDIRAN, V. 503
    https://doi.org/10.14317/jami.2015.503 PDF KSCI KPUBS HTML
    In this paper the concepts of pairwise fuzzy regular Volterra spaces and pairwise fuzzy weakly regular Volterra spaces are introduced. Several characterizations of pairwise fuzzy regular Volterra spaces and pair-wise fuzzy weakly regular Volterra spaces are investigated.
  4. LI, FANG;WANG, KANGKANG 517
    https://doi.org/10.14317/jami.2015.517 PDF KSCI KPUBS HTML
    In this paper, we establish a class of strong limit theorems, represented by inequalities, for the arbitrary random field with respect to the product binomial distributions indexed by the infinite tree on the generalized random selection system by constructing the consistent distri-bution and a nonnegative martingale with pure analytical methods. As corollaries, some limit properties for the Markov chain field with respect to the binomial distributions indexed by the infinite tree on the generalized random selection system are studied.
  5. RAO, SABBAVARAPU NAGESWARA 531
    https://doi.org/10.14317/jami.2015.531 PDF KSCI KPUBS HTML
    We determine interval of two eigenvalues for which there existence and nonexistence of positive solution for a system of even-order dynamic equation on time scales subject to Sturm-Liouville boundary conditions.
  6. BORZOOEI, R.A.;RASHMANLOU, HOSSEIN 545
    https://doi.org/10.14317/jami.2015.545 PDF KSCI KPUBS HTML
    A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we define two new operation on vague graphs namely normal product and tensor product and study about the degree of a vertex in vague graphs which are obtained from two given vague graphs G1 and G2 using the operations cartesian product, composition, tensor product and normal product. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large vague graph as a combination of small, vague graphs and to derive its properties from those of the smaller ones.
  7. BERA, S.P.;MAITI, A.;SAMANTA, G.P. 559
    https://doi.org/10.14317/jami.2015.559 PDF KSCI KPUBS HTML
    Human Immune Deficiency Virus (or simply HIV) induces a persistent infection that leads to AIDS causing death in almost every infected individual. As HIV affects the immune system directly by attacking the CD4+ T cells, to exterminate the infection, the natural immune system produces virus-specific cytotoxic T lymphocytes(CTLs) that kills the infected CD4+ T cells. The reduced CD4+ T cell count produce reduced amount of cytokines to stimulate the production of CTLs to fight the invaders that weakens the body immunity succeeding to AIDS. In this paper, we introduce a mathematical model with discrete time-delay to represent this cell dynamics between CD4+ T cells and the CTLs under HIV infection. A modified functional form has been considered to describe the infection mechanism. Characteristics of the system are studied through mathematical analysis. Numerical simulations are carried out to illustrate the analytical findings.
  8. RAO, M. SAMBASIVA 579
    https://doi.org/10.14317/jami.2015.579 PDF KSCI KPUBS HTML
    Properties of prime filters are studied in BE-algebras as well as in commutative BE-algebras. An equivalent condition is derived for a BE-algebra to become a totally ordered set. A condition L is introduced in a commutative BE-algebra in ordered to study some more properties of prime filters in commutative BE-algebras. A set of equivalent conditions is derived for a commutative BE-algebra to become a chain. Some topological properties of the space of all prime filters of BE-algebras are studied.
  9. RAZA, ZAHID;ALI, MUHAMMAD ASIM 593
    https://doi.org/10.14317/jami.2015.593 PDF KSCI KPUBS HTML
    In this study, we define r-circulant, circulant, Hankel and Toeplitz matrices involving the integer sequence with recurrence relation Un = pUn-1 + Un-2, with U0 = a, U1 = b. Moreover, we obtain special norms of above mentioned matrices. The results presented in this paper are generalizations of some of the results of [1, 10, 11].
  10. KIM, JAE DUCK;HONG, DUG HUN 607
    https://doi.org/10.14317/jami.2015.607 PDF KSCI KPUBS HTML
    Recently, Wang et al. [Computers and Mathematics with Ap-plications 57 (2009) 1232-1248.] and Wang and Watada [Information Sci-ences 179 (2009) 4057-4069.] studied the renewal process and renewal reward process with fuzzy random inter-arrival times and rewards under the T-independence associated with any continuous Archimedean t-norm. But, their main results do not cover the classical theory of the random elementary renewal theorem and random renewal reward theorem when fuzzy random variables degenerate to random variables, and some given assumptions relate to the membership function of the fuzzy variable and the Archimedean t-norm of the results are restrictive. This paper improves the results of Wang and Watada and Wang et al. from a mathematical per-spective. We release some assumptions of the results of Wang and Watada and Wang et al. and completely generalize the classical stochastic renewal theorem and renewal rewards theorem.
  11. IRANMANESH, ALI;FARSANGI, JALAL ASKARI 627
    https://doi.org/10.14317/jami.2015.627 PDF KSCI KPUBS HTML
    In this paper, we generalize the concept of the energy of Seidel matrix S(G) which denoted by Sα(G) and obtain some results related to this matrix. Also, we obtain an upper and lower bound for Sα(G) related to all of graphs with |detS(G)| ≥ (n - 1); n ≥ 3.
  12. CHAWLA, SHEETAL;RAO, S. CHANDRA SEKHARA 635
    https://doi.org/10.14317/jami.2015.635 PDF KSCI KPUBS HTML
    We consider a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. The diffusion term of each equation is associated with a small positive parameter of different magnitude. Presence of discontinuity and different parameters creates boundary and weak interior layers that overlap and interact. A numerical method is constructed for this problem which involves an appropriate piecewise uniform Shishkin mesh. The numerical approximations are proved to converge to the continuous solutions uniformly with respect to the singular perturbation parameters. Numerical results are presented which illustrates the theoretical results.
  13. JUNG, N.S.;RYOO, C.S. 649
    https://doi.org/10.14317/jami.2015.649 PDF KSCI KPUBS HTML
    In this paper we investigate some symmetric property of the twisted q-Euler zeta functions and twisted q-Euler polynomials.
  14. CHEN, DAOYONG;TIAN, HONGJIONG 657
    https://doi.org/10.14317/jami.2015.657 PDF KSCI KPUBS HTML
    In this paper, we provide numerical analysis of so-called Legendre Gauss-Radau and Legendre-Gauss collocation methods for ordinary differential equations. After recasting these collocation methods as Runge-Kutta methods, we prove that the Legendre-Gauss collocation method is equivalent to the well-known Gauss method, while the Legendre-Gauss-Radau collocation method does not belong to the classes of Radau IA or Radau IIA methods in the Runge-Kutta literature. Making use of the well-established theory of Runge-Kutta methods, we study stability and accuracy of the Legendre-Gauss-Radau collocation method. Numerical experiments are conducted to confirm our theoretical results on the accuracy and numerical stability of the Legendre-Gauss-Radau collocation method, and compare Legendre-Gauss collocation method with the Gauss method.
  15. TOUQEER, M.;ASLAM MALIK, M. 671
    https://doi.org/10.14317/jami.2015.671 PDF KSCI KPUBS HTML
    The notion of soft α-ideals and α-idealistic soft BCI-algebras is introduced and their basic properties are discussed. Relations between soft ideals and soft α-ideals of soft BCI-algebras are provided. Also idealistic soft BCI-algebras and α-idealistic soft BCI-algebras are being related. The restricted intersection, union, restricted union, restricted difference and "AND" operation of soft α-ideals and α-idealistic soft BCI-algebras are established. The characterizations of (fuzzy) α-ideals in BCI-algebras are given by using the concept of soft sets. Relations between fuzzy α-ideals and α-idealistic soft BCI-algebras are discussed.
  16. IM, DONG MAN;GOO, YOON HOE 687
    https://doi.org/10.14317/jami.2015.687 PDF KSCI KPUBS HTML
    This paper shows that the solutions to the perturbed nonlinear functional differential system
  17. CHADHA, ALKA;PANDEY, DWIJENDRA N. 699
    https://doi.org/10.14317/jami.2015.699 PDF KSCI KPUBS HTML
    This paper investigates the existence of mild solution for a fractional integro-differential equations with a deviating argument and nonlocal initial condition in an arbitrary separable Hilbert space H via technique of approximations. We obtain an associated integral equation and then consider a sequence of approximate integral equations obtained by the projection of considered associated nonlocal fractional integral equation onto finite dimensional space. The existence and uniqueness of solutions to each approximate integral equation is obtained by virtue of the analytic semigroup theory via Banach fixed point theorem. Next we demonstrate the convergence of the solutions of the approximate integral equations to the solution of the associated integral equation. We consider the Faedo-Galerkin approximation of the solution and demonstrate some convergenceresults. An example is also given to illustrate the abstract theory.
  18. KONG, FANCHAO 723
    https://doi.org/10.14317/jami.2015.723 PDF KSCI KPUBS HTML
    In this paper, the prescribed mean curvature Rayleigh p-Laplacian equation with a deviating argument
  19. YON, YONG HO 739
    https://doi.org/10.14317/jami.2015.739 PDF KSCI KPUBS HTML
    The notion of quasi-lattice implication algebras is a generalization of lattice implication algebras. In this paper, we give an optimized definition of quasi-lattice implication algebra and show that this algebra is a distributive lattice and that this algebra is a lattice implication algebra. Also, we define a congruence relation ΦF induced by a filter F and show that every congruence relation on a quasi-lattice implication algebra is a congruence relation ΦF induced by a filter F.
  20. WANG, WEIHUI;YANG, ZUODONG 749
    https://doi.org/10.14317/jami.2015.749 PDF KSCI KPUBS HTML
    In this paper, we prove existence of radial positive solutions for the following boundary value problem