Positive Solutions of a Second-Order Nonlinear Neutral Delay Difference Equation

Zeqing Liu, Wei Sun, Jeong Sheok Ume and Shin Min Kang

Abstract and Applied Analysis, 2012, vol. 2012, 1-30

Abstract:

The purpose of this paper is to study solvability of the second-order nonlinear neutral delay difference equation . By making use of the Rothe fixed point theorem, Leray-Schauder nonlinear alternative theorem, Krasnoselskill fixed point theorem, and some new techniques, we obtain some sufficient conditions which ensure the existence of uncountably many bounded positive solutions for the above equation. Five nontrivial examples are given to illustrate that the results presented in this paper are more effective than the existing ones in the literature.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:172939

DOI: 10.1155/2012/172939

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