## Journal of Applied Mathematics

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

#### 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

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