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一类半线性微分方程的温和渐近概周期解 被引量:2

Study on mild asymptotically almost periodic solution to a class of semilinear differential equations
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摘要 利用不动点定理,给出了一类半线性微分方程的温和渐近概周期解存在的充分条件. The sufficient conditions for the existence of mild asymptotically ahnost periodic solutions to those some semilinear differential equations are obtained by using fixed point theorems.
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2008年第5期604-606,共3页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 国家自然科学基金(天元基金)资助项目(10626014)
关键词 半线性微分方程 C0半群 渐近概周期解 不动点 semilinear differential equations C0-semigroup asymptotically almost periodic solution fixed-point
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参考文献2

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同被引文献14

  • 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:3
  • 2LIANG Jin,ZHANG Jun,XIAO Ti-Jun.Composition of PseudoAlmost Automorphic And Asymptotically Amost Automorphicfunc-tions[J].Math.Anal.Appl,2008,340(2):1493-1499.
  • 3GUEREKATA G M N’.Topics In A1most AutomorphySpringer-Verlag[J].NewYork,2005,132(2):113-129.
  • 4GUEREKATA G M N’.Almost Automorp-hic Functions andAmost Periodic Functionsi Abstract Spaces[J].K1uwer Academ-ic/PlnumPublishers,New York-Bedin-Moscow,2001,34(2):149-159.
  • 5VEECH W A,Almost Automorphic Functions[J].Proc.Nat.Acad.Sci.USA,1963,340(4):462-464.
  • 6BOHR H.On the Definition of Almost Periodicity[J].Analyse-Math.,1951,19(1):11-27.
  • 7LIANG Jin,GUEREKATA G M N’,XIAO Ti-Jun,JunZhang.Some Properties of Pseudo Almost Automorphic Functions and Ap-plications to Abstract Differential Equations[M].Non1inear A-nalysis Theory Methods and Applications,in press,2008:20-29.
  • 8G.M.N’Guerekata,Existence and Uniqueness of Almost Automor-pllic Mild solutions to Some Semilinear Abstract differential equa-tions[J].Semigroup Form,2004,69(1):80-86.
  • 9GUEREKATA G M N’,Existence and Uniqueness of Almost Auto-morpllic Mild Solutionsto Some Semilinear Abstract Differential E-quations[J].Semigroup Form 69,2004,(1):81-86.
  • 10魏臻.某类扰动系统的概周期解和有界解的存在唯一性[J].福建师大福清分校学报,2009,27(2):31-46. 被引量:2

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