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Existence of almost periodic solutions of neutral functional differential equations via Liapunov-Razumikhin function

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Abstract.

The Liapunov-Razumikhin technique is applied to obtain the existence, uniqueness and stability of almost periodic solutions to neutral functional differential equations with nonautonomous operator and its perturbed systems. An example is given to illustrate the results.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, P.R.China, China

    R. Yuan

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  1. R. Yuan
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Received: November 28, 1995; revised: June 6, 1996 and March 7, 1997

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Yuan, R. Existence of almost periodic solutions of neutral functional differential equations via Liapunov-Razumikhin function. Z. angew. Math. Phys. 49, 113–136 (1998). https://doi.org/10.1007/s000330050084

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  • DOI: https://doi.org/10.1007/s000330050084

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