권호 표지

Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)

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

과학기술표준분류

  • 수학 ＞ 응용수학

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

제30권1_2호

  1. Farhadinia, Bahram 1
    https://doi.org/10.14317/jami.2012.30.1_2.001 PDF KSCI
    In this paper, the problem of determining the optimal car-deriving strategy has been examined. In order to find the optimal driving strategy, we have modified a method based on measure theory. Further, we demonstrate that the modified method is an efficient and practical algorithm for dealing with optimal control problems in a canonical formulation.
  2. Sun, Jing 15
    https://doi.org/10.14317/jami.2012.30.1_2.015 PDF KSCI
    Some oscillation results are presented for the second-order neutral dynamic equation of mixed type on a time scale unbounded above $$\(r(t)[x(t)+p_1(t)x(t-{\tau}_1)+p_2(t)x(t+{\tau}_2)]^{\Delta}\)^{\Delta}+q_1(t)x(t-{\tau}_3)+q_2(t)x(t+{\tau}_4)=0.$$ These criteria can be applied when $\mathbb{T}=\mathbb{R}$, $\mathbb{T}=h{\mathbb{Z}}$ and $\mathbb{T}=\mathbb{P}_{a,b}$. Two examples are also provided to illustrate the main results.
  3. Choi, Sung-Woo 27
    https://doi.org/10.14317/jami.2012.30.1_2.027 PDF KSCI
    It has become apparent from the recent work by Choi et al. [3] on the nonlinear beam deflection problem, that analysis of the integral operator $\mathcal{K}$ arising from the beam deflection equation on linear elastic foundation is important. Motivated by this observation, we perform investigations on the eigenstructure of the linear integral operator $\mathcal{K}_l$ which is a restriction of $\mathcal{K}$ on the finite interval [$-l,l$]. We derive a linear fourth-order boundary value problem which is a necessary and sufficient condition for being an eigenfunction of $\mathcal{K}_l$. Using this equivalent condition, we show that all the nontrivial eigenvalues of $\mathcal{K}l$ are in the interval (0, 1/$k$), where $k$ is the spring constant of the given elastic foundation. This implies that, as a linear operator from $L^2[-l,l]$ to $L^2[-l,l]$, $\mathcal{K}_l$ is positive and contractive in dimension-free context.
  4. Thirusangu, K.;Bala, E.;Balasangu, K. 49
    https://doi.org/10.14317/jami.2012.30.1_2.049 PDF KSCI
    In this paper we introduce two new labelings called product antimagic labeling and total product antimagic labeling for directed graphs and show the existence of the same for Cayley digraphs of 2-generated 2-groups.
  5. Karthikeyan, K.;Anguraj, A. 57
    https://doi.org/10.14317/jami.2012.30.1_2.057 PDF KSCI
    In this paper, we prove the existence of mild solutions for a first order impulsive neutral differential inclusion with state dependent delay. We assume that the state-dependent delay part generates an analytic resolvent operator and transforms it into an integral equation. By using a fixed point theorem for condensing multi-valued maps, a main existence theorem is established.
  6. Kim, Gang-Eun 71
    https://doi.org/10.14317/jami.2012.30.1_2.071 PDF KSCI
    In this paper, we first show the weak convergence of the modified Ishikawa iteration process with errors of two total asymptotically nonexpansive mappings, which generalizes the result due to Khan and Fukhar-ud-din [1]. Next, we show the strong convergence of the modified Ishikawa iteration process with errors of two total asymptotically nonexpansive mappings satisfying Condition ($\mathbf{A}^{\prime}$), which generalizes the result due to Fukhar-ud-din and Khan [2].
  7. Wang, Kangkang;Xu, Zurun 83
    https://doi.org/10.14317/jami.2012.30.1_2.083 PDF KSCI
    In this paper, a generalized Shannon-McMillan theorem for the nonhomogeneous Markov chains indexed by an infinite tree which has a uniformly bounded degree is discussed by constructing a nonnegative martingale and analytical methods. As corollaries, some Shannon-Mcmillan theorems for the nonhomogeneous Markov chains indexed by a homogeneous tree and the nonhomogeneous Markov chain are obtained. Some results which have been obtained are extended.
  8. Dang, Ya-Zheng;Gao, Yan 93
    https://doi.org/10.14317/jami.2012.30.1_2.093 PDF KSCI
    In this paper, we present a strongly convergent parallel projection algorithm by introducing some parameter sequences for convex feasibility problem. To prove the strong convergence in a simple way, we transmit the parallel algorithm in the original space to an alternating one in a newly constructed product space. Thus, the strong convergence of the parallel projection algorithm is derived with the help of the alternating one under some parametric controlling conditions.
  9. Sohn, Gyo-Yong 101
    https://doi.org/10.14317/jami.2012.30.1_2.101 PDF KSCI
    In this paper, we present an algorithm for computing the number of points on the Jacobian varieties of one-dimensional family of genus 3 nonhyperelliptic curves over finite fields. We also provide the explicit formula of the characteristic polynomial of the Frobenius endomorphism of the Jacobian of $C:y^3=x^4+{\alpha}$ over a finite field $\mathbb{F}_p$ with $p{\equiv}1$ (mod 3) and $p{\neq}1$ (mod 4). Moreover, we give some implementation results using Gaudry-Schost method. A 162-bit order is computed in 97 s on a Pentium IV 2.13 GHz computer using our algorithm.
  10. Jayswal, Anurag;Stancu-Minasian, I.M. 111
    https://doi.org/10.14317/jami.2012.30.1_2.111 PDF KSCI
    In this paper, we introduce new classes of generalized convex n-set functions called $d$-weak strictly pseudo-quasi type-I univex, $d$-strong pseudo-quasi type-I univex and $d$-weak strictly pseudo type-I univex functions and focus our study on multiobjective subset programming problem. Sufficient optimality conditions are obtained under the assumptions of aforesaid functions. Duality results are also established for Mond-Weir and general Mond-Weir type dual problems in which the involved functions satisfy appropriate generalized $d$-type-I univexity conditions.
  11. Chen, Feixiang 127
    https://doi.org/10.14317/jami.2012.30.1_2.127 PDF KSCI
    We establish the polynomial convergence of a new class of path-following methods for SDLCP whose search directions belong to the class of directions introduced by Monteiro [3]. We show that the polynomial iteration-complexity bounds of the well known algorithms for linear programming, namely the short-step path-following algorithm of Kojima et al. and Monteiro and Alder, carry over to the context of SDLCP.
  12. Park, Chul-Geun;Han, Dong-Hwan 135
    https://doi.org/10.14317/jami.2012.30.1_2.135 PDF KSCI
    Traditionally, ERM (Equivalent Random Method) is used to determine number of circuits in an overflow circuit group with rough traffic which has vmr(variance to mean ratio) greater than one. Recently, IPP(Interrupted Poisson Process) approximate method which represents the collective feature of the overflow has been introduced. The negative binomial loss formula can be applied to determine the required number of circuits in the overflow circuit group. In this paper, we deal with the negative binomial loss formula and determination method of number of circuits. We also analyze and compare these three loss formulas.
  13. Wang, Haihua 147
    https://doi.org/10.14317/jami.2012.30.1_2.147 PDF KSCI
    In this paper, we establish some sufficient conditions for the existence of positive solutions for a class of multi-point boundary value problem for fractional functional differential equations involving the Caputo fractional derivative. Our results are based on two fixed point theorems. Two examples are also provided to illustrate our main results.
  14. Yang, Aijun;Wang, Helin 161
    https://doi.org/10.14317/jami.2012.30.1_2.161 PDF KSCI
    We consider the fourth-order differential equation with one-dimensional $p$-Laplacian (${\phi}_p(x^{\prime\prime}(t)))^{\prime\prime}=f(t,x(t),x^{\prime}(t),x^{\prime\prime}(t)$) a.e. $t{\in}[0,1]$, subject to the boundary conditions $x^{\prime\prime}}(0)=0$, $({\phi}_p(x^{\prime\prime}(t)))^{\prime}{\mid}_{t=0}=0$, $x(0)={\sum}_{i=1}^n{\mu}_ix({\xi}_i)$, $x(t)=x(1-t)$, $t{\in}[0,1]$, where ${\phi}_p(s)={\mid}s{\mid}^{p-2}s$, $p$ > 1, 0 < ${\xi}_1$ < ${\xi}_2$ < ${\cdots}$ < ${\xi}_n$ < $\frac{1}{2}$, ${\mu}_i{\in}\mathbb{R}$, $i=1$, 2, ${\cdots}$, $n$, ${\sum}_{i=1}^n{\mu}_i=1$ and $f:[0,1]{\times}\mathbb{R}^3{\rightarrow}\mathbb{R}$ is a $L^1$-Carath$\acute{e}$odory function with $f(t,u,v,w)=f(1-t,u,-v,w)$ for $(t,u,v,w){\in}[0,1]{\times}\mathbb{R}^3$. We obtain the existence of at least one nonconstant symmetric solution by applying an extension of Mawhin's continuation theorem due to Ge. Furthermore, an example is given to illustrate the results.
  15. Jeong, Jin-Mun;Rho, Hyun-Hee 173
    https://doi.org/10.14317/jami.2012.30.1_2.173 PDF KSCI
    In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.
  16. Wang, Xiaoyan;Yang, Junyuan;Zhang, Fengqin 183
    https://doi.org/10.14317/jami.2012.30.1_2.183 PDF KSCI
    A two-strain epidemic model with an age structure mutation and varying population is studied. By means of the spectrum theory of bounded linear operator in functional analysis, the reproductive numbers according to the strains, which associates with the growth rate ${\lambda}^*$ of total population size are obtained. The asymptotic stability of the steady states are obtained under some sufficient conditions.
  17. Yin, Jun-Feng;Huang, Yumei 201
    https://doi.org/10.14317/jami.2012.30.1_2.201 PDF KSCI
    A modified multiplicative update algorithms is presented for computing the nearest correlation matrix. The convergence property is analyzed in details and a sufficient condition is given to guarantee that the proposed approach will not breakdown. A number of numerical experiments show that the modified multiplicative updating algorithm is efficient, and comparable with the existing algorithms.
  18. Kim, Tae-Kyun;Choi, Jong-Sung;Kim, Hyun-Mee 211
    https://doi.org/10.14317/jami.2012.30.1_2.211 PDF KSCI
    In this paper, we give the weighted Lebesgue-Radon-Nikodym theorem with respect to $p$-adic invariant integral on $\mathbb{Z}_p$.
  19. Zhang, Quanxin;Sogn, Xia;Gao, Li 219
    https://doi.org/10.14317/jami.2012.30.1_2.219 PDF KSCI
    By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations $$(a(t)(x^{\Delta}(t))^{\gamma})^{\Delta}+q(t)f(x({\tau}(t)))=0$$ on a time scale $\mathbb{T}$, here ${\gamma}{\geq}1$ is the ratio of two positive odd integers with $a$ and $q$ real-valued positive right-dense continuous functions defined on $\mathbb{T}$. Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.
  20. Ibrahim, S.A. Hoda;Hassan, Naglaa Ameen 235
    https://doi.org/10.14317/jami.2012.30.1_2.235 PDF KSCI
    In this paper, we solve the three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind using the full multigrid (FMG) algorithm. We derive a finite difference approximations for the biharmonic equation on a 18 point compact stencil. The unknown solution and its second derivatives are carried as unknowns at grid points. In the multigrid methods, we use a fourth order interpolation to producing a new intermediate unknown functions values on a finer grid, and the full weighting restriction operators to calculating the residuals at coarse grid points. A set of test problems gives excellent results.
  21. Jung, Hwan-Ok 245
    https://doi.org/10.14317/jami.2012.30.1_2.245 PDF KSCI
    In this paper we present a necessary and sufficient conditions for an infinite VAP-free plane graph to be a 3LV-graph as well as an LV-graph. We also introduce and investigate the concept of the order and the kernel of an infinite connected graph containing no one-way infinite path.
  22. Zayed, E.M.E. 253
    https://doi.org/10.14317/jami.2012.30.1_2.253 PDF KSCI
    In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in the mathematical physics via the (1+1)-dimensional Boussinesq equation by using the following two methods: (i) A further improved ($\frac{G}{G}$) - expansion method, where $G=G({\xi})$ satisfies the auxiliary ordinary differential equation $[G^{\prime}({\xi})]^2=aG^2({\xi})+bG^4({\xi})+cG^6({\xi})$, where ${\xi}=x-Vt$ while $a$, $b$, $c$ and $V$ are constants. (ii) The well known extended tanh-function method. We show that some of the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before which gives more exact solutions than the second method (ii).
  23. Shobe, Nabi;Sedghi, Shaban;Choudhury, Binayak S. 265
    https://doi.org/10.14317/jami.2012.30.1_2.265 PDF KSCI
    In this work we have considered several common fixed point results in metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in fuzzy metric spaces.
  24. Goo, Yoon-Hoe;Park, Dong-Gon;Ryu, Dae-Hee 279
    https://doi.org/10.14317/jami.2012.30.1_2.279 PDF KSCI
    In this paper, we investigate bounds for solutions of the nonlinear differential systems using the notion of $t_{\infty}$-similarity.
  25. Sun, Taixiang;Yu, Weiyong;Xi, Hongjian 289
    https://doi.org/10.14317/jami.2012.30.1_2.289 PDF KSCI
    In this paper, we study asymptotic behaviour of solutions of the following higher order nonlinear dynamic equations $$S_n^{\Delta}(t,x)+{\delta}p(t)f(x(g(t)))=0$$ and $$S_n^{\Delta}(t,x)+{\delta}p(t)f(x(h(t)))=0$$ on an arbitrary time scale $\mathbb{T}$ with sup $\mathbb{T}={\infty}$, where n is a positive integer, ${\delta}=1$ or -1 and $$S_k(t,x)=\{\array x(t),\;if\;k=0,\\a_k(t)S_{{\kappa}-1}^{\Delta}(t),\;if\;1{\leq}k{\leq}n-1,\\a_n(t)[S_{{\kappa}-1}^{\Delta}(t)]^{\alpha},\;if\;k=n,$$ with ${\alpha}$ being a quotient of two odd positive integers and every $a_k$ ($1{\leq}k{\leq}n$) being positive rd-continuous function. We obtain some sufficient conditions for the equivalence of the oscillation of the above equations.
  26. Liu, Xiping;Jin, Jingfu;Jia, Mei 305
    https://doi.org/10.14317/jami.2012.30.1_2.305 PDF KSCI
    In this paper, we study a class of integral boundary value problems for fractional differential equations. By using some fixed point theorems, the results of existence of at least three positive solutions for the boundary value problems are obtained.
  27. Jang, Lee-Chae;Kim, Won-Joo 321
    https://doi.org/10.14317/jami.2012.30.1_2.321 PDF KSCI
    In this paper, we consider twisted $q$-Euler polynomials and define a $p$-adic $q$-transfer operator (see [6]). From this operator, we investigate the eigenvalues of the $p$-adic $q$-transfer operator on the space of twisted $q$-Euler polynomials.
  28. Ryu, Dae-Hee;Ryu, Sang-Ryul 327
    https://doi.org/10.14317/jami.2012.30.1_2.327 PDF KSCI
    Let {$X_{ni}$, $i{\geq}1$, $n{\geq}1$} be an array of rowwise and pairwise negatively quadrant dependent random variables with mean zero, {$a_{ni}$, $i{\geq}1$, $n{\geq}1$} an array of weights and {$b_n$, $n{\geq}1$} an increasing sequence of positive integers. In this paper we consider some results concerning complete convergence of ${\sum}_{i=1}^{bn}a_{ni}X_{ni}$.
  29. Lee, H.Y. 337
    https://doi.org/10.14317/jami.2012.30.1_2.337 PDF KSCI
    In this paper we construct a new type of twisted $q$-Genocchi numbers $G_{n,q,w}^{({\alpha})}$ and polynomials $G_{n,q,w}^{({\alpha})}(x)$. Some interesting results and relationships are obtained.
  30. Cho, Yong-Uk 347
    https://doi.org/10.14317/jami.2012.30.1_2.347 PDF KSCI
    In this paper, we denote that $R$ is a near-ring and $G$ an $R$-group. We initiate the study of faithful $R$-group, the substructures of $R$ and $G$, also quotients of substructure relations between them. Next, we investigate some isomorphic properties of near-rings and $R$-groups.