李向陽 朱平 查正邦
【摘要】本文在給出若干條件下,利用巴拿赫壓縮原理,證明了一類積分方程的加權(quán)偽概自守解的存在性及唯一性的問題.
【關(guān)鍵詞】方程;加權(quán)偽概自守;巴拿赫;不動(dòng)點(diǎn)
【基金項(xiàng)目】國(guó)家自然科學(xué)基金項(xiàng)目(11571005).
本文在參考文獻(xiàn)[1-4]的基礎(chǔ)上,研究了如下積分方程的加權(quán)偽概自守解的存在性及唯一性.
一、預(yù)備工作
【參考文獻(xiàn)】
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[2]Blot J,Mophou G.M.,NGuerekata G.M.,D.Pennequin,Weighted pseudo almost auto morphic functions and applications to abtract differential equations[J].Nonlinear Analysis,2009(71):903-909.
[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.