Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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CLASSIFICATION OF NONOSCILLATORY SOLUTIONS OF SECOND ORDER SELF-ADJOINT NEUTRAL DIFFERENCE EQUATIONS

  • Liu, Yujun (College of Mathematics and Information of Science, Hebei Normal University) ;
  • Liu, Zahaoshuang (College of Mathematics and Information of Science, Hebei Normal University) ;
  • Zhang, Zhenguo (College of Mathematics and Information of Science, Hebei Normal University)
  • 발행 : 2004.01.01

⟨ 이전 논문 다음 논문 ⟩

초록

Consider the second order self-adjoint neutral difference equation of form $\Delta(a_n$\mid$\Delta(x_n\;-\;{p_n}{x_{{\tau}_n}}$\mid$^{\alpha}sgn{\Delta}(x_n\;-\;{p_n}{x_{{\tau}_n}}\;+\;f(n,\;{x_{g_n}}\;=\;0$. In this paper, we will give the classification of nonoscillatory solutions of the above equation; and by the fixed point theorem, we present some existence results for some kinds of nonoscillatory solutions of the equation.

키워드

참고문헌

  1. Computers Math. Appl. v.36 no.6 Oscillation Theorems for Second-order Advanced Functional Difference Equations Z. G. Zhang;Q. L. Li
  2. Computers Math. Appl. v.38 no.1 Oscillation Criteria for Second-order Functional Difference Equations with "Summation Small" Cofficient Z. G. Zhang;J. L. Zhang
  3. Computers Math. Appl. v.41 no.17 Oscillation of Solutions for Second-order Nonlinear Difference Equations with Nonlinear Neutral Term Z. G. Zhang;J. F. Chen;C. S. Zhang
  4. Nonlinear Analysis v.20 An Existence Theorem for a Nonlinear Difference Equation S. S. Cheng;W. T. Patula
  5. Utililas Mathematica v.45 The Asymptotic and Oscillatory Behavior of the Solutions of Nonlinear Neutral Delay Difference Equations E. Thandapani
  6. Funcialaj Eckvac v.32 Asymptotic behavior of Nonoscillatory Solutions of Neutral Difference Equations J. Jaros;T. Kusano
  7. J. Appl. Math. & Computing(old KJCAM) v.8 no.2 Classification of Nonoscillation Solutions of Higher Order Nonlinear Difference Equations Bi Ping;Qiaoluan Li;Zhenguo Zhang;Wenlei Dong
  8. Indian J. Pure. Appl. Math. v.26 no.19 On the Asymptotic and oscillatory Behavior of Secondorder Nonlinear Neutral Difference Equations E. Thandapani;P. Sanadarani