The Existence and Stability of the Almost Periodic Solutionsof the Higher Dimensional NFDE with Infinite Delay
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    Abstract:

    The authors investigate the almost periodic solution of neutral functional equation with infinite delay of the following d/dt[x(t)-∫0-∞q(s)x(t+s)ds]=A(t,x)x(t)+f(t,xt) Some results on the existence and uniqueness of almost periodic solutions are obtained by use of Ch space, matrix measure and Krasnoselskii's fixed theorem. Especially, whenq(s)is zero matrix, we derive sufficient conditions for the existence of a unique and uniformly stable almost periodic solution, which generalizes several results in references[1~5].

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History
  • Received:April 04,2003
  • Revised:
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  • Online: June 14,2013
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