带有非局部条件的Sobolev型积微分方程解的存在性

xistence of solutions for integrodifferential equations of Р Sobolev type with nonlocal conditions in Banach spacesРР HUANG Xinyi, FAN Zhenbin*Р (School of Mathematical Sciences , Yangzhou University, Yangzhou 225002, China)РРAbstract : By the technique of topological transformation and the idea of approximation, along with РSchauder fixed point theorem, a class of integrodifferential equations of Sobolev type with nonlocal РРconditionsinBanachspacesisstudied, andtheexistenceofmildsolutionsisobtained．РРKeywords: semigroup of operators； nonlocal condition； Sobolev type； mild solutionРР (责任编辑秋实)