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, 1-40

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 ð ‘“ satisfies sub-( ð ‘ âˆ’ − 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:814103

DOI: 10.1155/2011/814103

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