带有非局部条件的Sobolev型积微分方程解的存在性

Existence of solutions for integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces

利用拓扑变换技巧和逼近思想,结合Schauder不动点定理,研究了一类带有非局部条件的Sobolev型半线性积微分方程,获得了该方程温和解的存在性.

By the technique of topological transformation and the idea of approximation, along with Schauder fixed point theorem, a class of integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces is studied, and the existence of mild solutions is obtained.