on the existence and stability of periodic solutions for a nonlinear neutral functional differential equation
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2013
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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).
| Reference Key |
yuan2013abstracton
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| Authors | ;Yueding Yuan;Zhiming Guo |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/175479
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