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中立型抽象微分方程S^p-权伪概周期弱解的存在性 被引量：1

On existence of Sp-weighted pseudo almost periodic mild solutions to neutral Abstract differential equations
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摘要 利用中立型微分方程Sp-权伪概周期函数的一个新分解定理和Krasnoselskii’s不动点定理,得到了中立型抽象微分方程的Sp-权伪概周期弱解存在性条件. By applying a new composition theorem for S^p -weighted pseudo almost periodic function and Krasnoselskii＇ s fixed point theorem,we establishes the conditions of existence for the weighted pseudo almost periodic mild solutions to neutral abstract differential equations in this article.
作者 周辉 周宗福
机构地区 安徽大学数学科学学院
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第2期129-133,共5页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(11071001) 安徽大学"211"团队资助项目(KJTD002B)
关键词 中立型抽象微分方程 Sp-权伪概周期弱解 Krasnoselskii’s不动点定理 neutral abstract differential equations：S^p -weighted pseudo almost periodic mild solution Krasnoselskii fixed point theorem
分类号 O175 [理学—基础数学]
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参考文献17

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共引文献1

同被引文献21

  • 1Liu J H, Song X Q. Almost automorphic and weighted pseudo almost automorphic solutions of semilinear evolution equations. J. Functional Anal., 2010, 258: 196-207.
  • 2Diagana T. Existence of pseudo-almost automorphic solutions to some abstract differential equa- tions with pseudo-almost automorphic cofficients, Nonlinear Analysis, 2009, 70: 3787-3790.
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云南大学学报（自然科学版）
2012年 第2期

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