Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems

Guizhen Zhi, Yunrui Guo, Yan Wang and Qihu Zhang

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

Abstract: This paper investigates the existence of solutions for a class of variable exponent integrodifferential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub‐(p− − 1) growth condition or general growth condition, we give the existence of solutions and nonnegative solutions via Leray‐Schauder degree at nonresonance, respectively. Moreover, the existence of solutions for the problem at resonance has been discussed.

Date: 2011
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https://doi.org/10.1155/2011/814103

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:814103

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