Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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OSCILLATORY OF UNSTABLE TYPE SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS

  • Zhang, Zhenguo (College of Mathematics and Information of Science, Hebei Normal University) ;
  • Ping, Bi (College of Mathematics and Information of Science, Hebei Normal University) ;
  • Dong, Wenlei (College of Mathematics and Information of Science, Hebei Normal University)
  • Published : 2002.12.01

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Abstract

We consider the problem of oscillation and nonoscillation solutions for unstable type second-order neutral difference equation : $\Delta^2(x(n))-p(n)x(n-\tau))=q(n)x(g(n))$. (1) In this paper, we obtain some conditions for the bounded solutions of Eq(1) to be oscillatory and for the existence of the nonoscillatory solutions.

Keywords

References

  1. Oscillation theory for functional differential New York L.H.Erbe;Qing Kai Kong;B.G.Zhang
  2. Eckvac v.32 Asymptotic behavior of nonoscillatoty of neutral Funcialaj J.Jaros;T.Kusano
  3. Sys. Sci. and Math. The existence of positive for second Order neutral Differential equations with unstable type J.S.Yu;B.G.Zhang
  4. Computers Math. Applic. v.138 no.1 Oscillation Criteria for second-Order Advanced Difference equations with Summation Smallⁿ Coefficient Z.G.Zhang;J.L.Zhang
  5. KeXue Tong bao v.34 no.8 Oscillatory of second-Order neutral Differential equations B.G.Zhang
  6. J. Math Research and Exposition v.19 no.4 Oscillation of solutions for a class of Nonlinear second Order Difference equations Z.G.Zhang;Yu Yuanhong
  7. Nonlinear Analysis v.20 An existence theorem for nonlinear difference equations S.S.Cheng;W.T.Patula
  8. Computers Math. Applic. v.36 no.6 Oscillation Theorems for second-Order Advanced Functional Difference equations Z.G.Zhang;Q.L.Li
  9. a Appl. Math. Lett. v.6 no.2 Oscillation of a Neutral Difference Equations A.ZAFER;R.S.DAHIYA
  10. Utilitas Mathematica v.45 Asymptotic behavior and oscillatory behavior of solution fo nonlinear neutral delay difference equation E.Thandapani