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

الملخص EN

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.