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- 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.
Guizhen Zhi. Yunrui Guo. Yan Wang. Qihu Zhang. "Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems." J. Appl. Math. 2011 1 - 40, 2011. https://doi.org/10.1155/2011/814103