Journal of Applied Mathematics

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

Guizhen Zhi, Yunrui Guo, Yan Wang, and Qihu Zhang

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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.

Article information

Source
J. Appl. Math., Volume 2011 (2011), Article ID 814103, 40 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331818670

Digital Object Identifier
doi:10.1155/2011/814103

Mathematical Reviews number (MathSciNet)
MR2854956

Zentralblatt MATH identifier
1239.45006

Citation

Zhi, Guizhen; Guo, Yunrui; Wang, Yan; Zhang, Qihu. Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems. J. Appl. Math. 2011 (2011), Article ID 814103, 40 pages. doi:10.1155/2011/814103. https://projecteuclid.org/euclid.jam/1331818670


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