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Existence of periodic solutions to integro-differential equations of neutral type via limiting equations
Published online by Cambridge University Press: 24 October 2008
Abstract
In this paper, we present some results on the existence of periodic solutions to Volterra integro-differential equations of neutral type. The main idea is to show the convergence of an equibounded sequence of periodic solutions of certain limiting equations which are of finite delay. This makes it possible to apply the existing Liapunov–Razumikhin technique for neutral equations with finite delay to obtain existence of periodic solutions of Volterra neutral integro-differential equations (of infinite delay). Some comparisons between our results and the existing ideas are also provided.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 2 , September 1992 , pp. 403 - 418
- Copyright
- Copyright © Cambridge Philosophical Society 1992
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