一类半线性积分微分方程的S-渐近ω-周期解  

S-asymptotically ω-periodic solutions for a class of semilinear integrodifferential equations

作　　者：吴中华[1] 蔡龙生[2] 

机构地区：[1]广州南洋理工职业学院基础部,广东广州510925 [2]上海交通大学数学系,上海200240

出　　处：《湖北大学学报（自然科学版）》2015年第4期372-375,共4页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11171210)资助

摘　　要：研究一类半线性积分微分方程的S-渐近ω-周期温和解的存在性.通过利用S-渐近ω-周期函数性质结合不动点定理和强连续预解算子建立一些S-渐近ω-周期温和解存在的充分条件.Existence of S-asymptotically w-periodic mild solutions for a class of semilinear integrodifferential equation was considered. Some sufficient conditions were established by using properties of S-asymptotically w-periodic function combined with Banaeh fixed point theorem and strongly continuous family of resolvent operators.

关 键 词：S-渐近ω-周期函数 半线性积分微分方程 预解算子 温和解 

分 类 号：O175[理学—数学]