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On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument 被引量:3

On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument
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摘要 A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions for a nonautonomous, singularly perturbed differential equations with piecewise constant argument. A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions for a nonautonomous, singularly perturbed differential equations with piecewise constant argument.
作者 袁荣
出处 《Science China Mathematics》 SCIE 2002年第4期484-502,共19页 中国科学:数学(英文版)
基金 This work was partially supported by the National Natural Science Foundationof China (Grant No. 19831030) SRF for ROCS, SEM, the Foundation for University Key Teacher by the Ministry of Education National Key Basic Research Special Foundation of Ch
关键词 PSEUDO ALMOST PERIODIC solution PSEUDO ALMOST PERIODIC sequence piecewise constant argument singular perturbation. pseudo almost periodic solution pseudo almost periodic sequence piecewise constant argument singular perturbation
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参考文献3

  • 1Chang,K. W.Almost periodic solutions of singularly perturbed systems of differential equations, J[].Differential Equations.1968
  • 2Meisters,G. H.On almost periodic solutions of a class of differential equations, Proc, Amer[].Mathematical Social Sciences.1959
  • 3Zhang,C.Pseudo almost periodic solutions of some differential equations, J.Math[].Anal Appl.1994

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