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非李普希兹条件下半线性发展方程的概自守与加权伪概自守解 被引量：1

Almost Automorphic and Weighted Pseudo Almost Automorphic Solutions of Semilinear Evolution Equations without Lipschitz Condition
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摘要 在巴拿赫空间中利用算子半群理论和巴拿赫压缩原理讨论了在非李普希兹条件下,半线性发展方程的概自守以及其加权伪概自守解的存在性和唯一性。 In this paper,applying the theory of semigroups of operators and Banach fixed point theorem,we prove the existence and uniqueness of almost automorphic solutions and weighed pseudo almost automorphic solutions to Semilinear Evolution Equations without Lipschitz Condition.
作者 张荣娟 宋晓秋 刘春景
机构地区 中国矿业大学理学院
出处 《贵州大学学报（自然科学版）》 2011年第1期5-8,共4页 Journal of Guizhou University:Natural Sciences
基金 中央高校基本科研业务费专项资金(LK0104)
关键词 半线性 概自守 加权伪概自守 巴拿赫 almost automorphic weighted pseudo almost automorphic Semilinear Banach
分类号 O177.2 [理学—基础数学]
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参考文献4

  • 1N' Guerekata G M. Ahnost Automorphic Functions and Ahnost Periodic Functions in Abstract Spaces[ M ]. New York-Berlin-Moscow: Kluwer Academic/Plnum Publisher,2001.
  • 2Diagana T, Henriquez H R, Hern'andez E M. Almost automorphic mild solutions to some partial neutral functional-differential equa- tions and applications [ J ]. Nonlinear Analysis, 2008 (69) : 1485 - 1493.
  • 3Blot J, Mophou G M, N' Gu'er'ekata GM D. Pennequin,Weighted pseudo almost auto-morphic functions and applications to abstract differential equations [ J ]. Nonlinear Analysis, 2009 ( 71 ) : 903 - 909.
  • 4Jing-huai l.iu, Xiao-qiu Song, Almost Automorphic and Weighted Pseudo Ahnost Automorphic solutions of Semilinear Evolution Equations[J]. Journal of Functional Analysis,2010(258) :196 -207.

同被引文献19

  • 1鲁红英,于刚.具有时滞和反馈控制的离散Leslie系统的概周期解[J].应用泛函分析学报,2013,15(1):88-96. 被引量：4
  • 2YOSHIHIRO H.Bifurcation of Almost Periodic Solutions in Difference Equations[J].Journal of Difference Equations and Applications,2004,10(3):257-297.
  • 3MAQBUL M D.The Existence and Uniqueness of Almost Periodic Solutions for Abstract Functional Differential Equations[J].Electronic Journal of Differential Equation,2011,72:1-9.
  • 4PAUL H.B,DIAGANA T.Square-mean Almost Periodic Solutions Nonautonomous Stochastic Differential Equations[J].Electronic Journal of Differential Equations,2011,2007(17):1-10.
  • 5PAUL H B.Existence of Quadratic-mean Almost Periodic Solutions to Some Stochastic Hyperbolic Differential Equations[J].Electron Journal Differential Equations,2009,111:1-14.
  • 6FAROUK C.Quadratic-mean Pseudo Almost Periodic Solutions to Some Stochastic Differential Equations in a Hilbert Space[J].J.Appl Math.Comput,2012,40:427-443.
  • 7FU MM.,LIU Z X.Square Mean Almost Automorphic Solutions for Some Stochastic Differential Equations[J].Proc.Am.Math.Soc.,2010,138:3689-3701.
  • 8BOCHNER S.A New Approach to Almost-periodicity[J].Proc.Nat.Acad.Sci.USA,1962,48:2039-2043.
  • 9N' GUEREKATA G M.Almost Automorphic Functions and Amost Periodic Functions in Abstract Spaces[M].K1 uwer Academic/Plnum Publishers,New York-Bedin-Moscow,2001.
  • 10DIAGANA T,N' GUEREKATA G M.Amost Automorphic Solutions to Some Classes of Partial Evolution Equations[J].Appl.Math.Lett.,2007,20 (4):462-466.

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贵州大学学报（自然科学版）
2011年 第1期

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