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一类半线性微分方程的调和伪概周期解 被引量:1

The Mild Pseudo Almost Periodic Solution of Some Semilinear Differential Equations
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摘要 利用不动点理论,给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件. Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
作者 姚慧丽
出处 《哈尔滨理工大学学报》 CAS 2002年第4期98-100,共3页 Journal of Harbin University of Science and Technology
关键词 调和伪概周期解 半线性微分方程 算子半群 不动点定理 semilinear differential equation operator semigroup pseudo almost periodic solution fixed point
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参考文献3

  • 1[1]CORDUNEANU C. Almost Periodic Functions[M]. Chelsea, New York: Seconded, 1989.
  • 2[2]LI Hongxu, HUANG Falun, LI Jiyong. Composition of Pseudo Almost Periodic Functions and Semilinear Differential Equa- tions[J]. Journal of Mathematics Analysis and Application, 2001, 255: 436-446.
  • 3[3]DADS E Ait, EZZIBI K. Existence of Positive Pseudo Almost Periodic Solution for Some Nonlinear Infinite Delay Integral Equations Arising in Epidemic Problems[J]. Nonlinear Analyss T. M. A, 2000, 41:1 -13.

同被引文献9

  • 1LIANG Jin,ZHANG Jun,XIAO Ti-Jun.Composition of PseudoAlmost Automorphic And Asymptotically Amost Automorphicfunc-tions[J].Math.Anal.Appl,2008,340(2):1493-1499.
  • 2GUEREKATA G M N’.Topics In A1most AutomorphySpringer-Verlag[J].NewYork,2005,132(2):113-129.
  • 3GUEREKATA 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.
  • 4VEECH W A,Almost Automorphic Functions[J].Proc.Nat.Acad.Sci.USA,1963,340(4):462-464.
  • 5BOHR H.On the Definition of Almost Periodicity[J].Analyse-Math.,1951,19(1):11-27.
  • 6LIANG 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.
  • 7G.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.
  • 8GUEREKATA 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.
  • 9严星,姚慧丽,高文建.一类半线性微分方程的温和渐近概周期解[J].哈尔滨商业大学学报(自然科学版),2008,24(5):604-606. 被引量:2

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