On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation

Yueding Yuan and Zhiming Guo

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper deals with the existence and stability of periodic solutions for the following nonlinear neutral functional differential equation (d/dt)Dut = p(t) − au(t) − aqu(t − r) − h(u(t), u(t − r)). By using Schauder‐fixed‐point theorem and Krasnoselskii‐fixed‐point theorem, some sufficient conditions are obtained for the existence of asymptotic periodic solutions. Main results in this paper extend the related results due to Ding (2010) and Lopes (1976).

Date: 2013
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https://doi.org/10.1155/2013/175479

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:175479

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