摘要
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.
作者
黄欣怡
凡震彬
HUANG Xinyi;FAN Zhenbin(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)
出处
《扬州大学学报(自然科学版)》
CAS
北大核心
2022年第2期19-23,44,共6页
Journal of Yangzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(11871064,11571300)。