Positive Solution for Nonlinear Higher-Order Neutral Variable Delay Difference Equations with Continuous Arguments

doi:10.3969/j.issn.1007-2985.2013.03.001

Abstract

Abstract: Positive solution for a class of nonlinear higher-order neutral variable delay difference equations with continuous arguments is studied.Using the fixed point theorem in Banach space and a lot of inequality techniques,some sufficient conditions for the existence of eventually positive solution for the equations are obtained.The examples are presented to illustrate the effects of our theorems.

Key words: eventually positive solution, continuous arguments, nonlinear, neutral delay difference equation, fixed point theorem

YANG Jia-Shan, LIU Xing-Yuan. Positive Solution for Nonlinear Higher-Order Neutral Variable Delay Difference Equations with Continuous Arguments[J]. journal6, 2013, 34(3): 1-6.

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