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PERIODIC SOLUTIONS IN NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH FUNCTIONAL DELAY

Youssef N. Raffoul|Mariette R. Maroun
대한수학회 (The Korean Mathematical Society)|2005.03|대한수학회지 (Journal of the KMS)|제42권 제2호|pp. 65-78

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참고문헌

주제분류수학

초록

Abstract

We use Krasnoselskii's ¯xed point theorem to show that the nonlinear neutral di??erence equation with delay x(t + 1) = a(t)x(t) + c(t)¢x(t ¡ g(t)) + q¡t; x(t); x(t ¡ g(t)¢ has a periodic solution. To apply Krasnoselskii's ¯xed point theo-rem, one would need to construct two mappings; one is contraction and the other is compact. Also, by making use of the variation of parameters techniques we are able, using the contraction mapping principle, to show that the periodic solution is unique.

참고문헌 (6)

  1. "Dierence Equations:An Introduction withApplications" (2001), Academic Press
  2. "Periodic Solutions for Scalar and Vector Nonlinear Dierence Equa-tions", 9(1), pp.97~111 (1999)
  3. "Periodic Solutions in Nonlinear Dierential Equations with FunctionalDelay Electron.. 2003", (102), pp.1~7
  4. "Positive Periodic Solutions of Functional Discrete Systems and Popula-tion Models"
  5. "T-Periodic Solutions and a priori Bounds", pp.643~652 (2000)
  6. "T-Periodic Solutions and a priori Bounds", 32, pp.643~652 (2000)

관련 논문AI추천

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