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Banach空间半线性积微分方程的非局部Cauchy问题(英文)

Nonlocal Cauchy Problems for Semilinear Integrodifferential Equations in Banach Spaces
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摘要 运用预解算子理论和Schauder不动点定理,在Banach空间证明了一类非局部半线性积微分方程积分解的存在性. We prove the existence of integral solutions for semilinear integrodifferential equations with nonlocal conditions in Banach spaces.The results obtained by using the theory of resolvent operators and the classical Schauder fixed point theorem.
作者 闫作茂
机构地区 河西学院数学系
出处 《应用泛函分析学报》 CSCD 2009年第3期201-210,共10页 Acta Analysis Functionalis Applicata
关键词 积微分方程 不动点定理 预解算子 非局部条件 integrodifferential equations fixed point theorem resolvent operators nonlocal conditions
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