一类方程的加权伪概自守解的研究
2020-05-11李向阳朱平查正邦
李向阳 朱平 查正邦
【摘要】本文在給出若干条件下,利用巴拿赫压缩原理,证明了一类积分方程的加权伪概自守解的存在性及唯一性的问题.
【关键词】方程;加权伪概自守;巴拿赫;不动点
【基金项目】国家自然科学基金项目(11571005).
本文在参考文献[1-4]的基础上,研究了如下积分方程的加权伪概自守解的存在性及唯一性.
一、预备工作
【参考文献】
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[3]Jing-huai Liu,Xiao-qiu Song,Almost Automorphic and Weighted Pseudo Almost Automorphic Solutions of Semilinear Evolution Equations[J].Journal of Functional Analysis,2010(258):196-207.
[4]Diagana T.,Henriquez H.R.,Hernandez E.M.,Almost automorphic mild solutions to some Partial neutral functional-differential equations and applications[J],Nonlinear Analysis,2008(69):1 485-1 493.