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Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator

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Abstract

In this paper, the authors consider the problem of existence of periodic solutions for a second order neutral functional differential system with nonlinear difference D-operator. For such a system, since the possible periodic solutions may not be differentiable, our method is based on topological degree theory of condensing field, not based on Leray Schauder topological degree theory associated to completely continuous field.

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Authors and Affiliations

  1. College of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing, 210044, P. R. China

    Shi Ping Lu

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  1. Shi Ping Lu
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Correspondence to Shi Ping Lu.

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Supported by NSFC (Grant No. 11271197)

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Lu, S.P. Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator. Acta. Math. Sin.-English Ser. 32, 1541–1556 (2016). https://doi.org/10.1007/s10114-016-2758-x

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  • DOI: https://doi.org/10.1007/s10114-016-2758-x

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