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Some periodicity criteria for functional differential equations

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Abstract

Using the classical fixed point index for cones in a Banach space some criteria for the existence of periodic solutions of autonomous functional differential equations (t)=F(xt) are derived, regarding the asymptotic behaviour of F near zero and infinity. The general result is applied to equations with distributed time delay.

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  1. Institut für Angewandte Mathematik der Universität, Im Neuenheimer Feld 294, 6900, Heidelberg, Bundesrepublik Deutschland

    Wolfgang Alt

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  1. Wolfgang Alt
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Alt, W. Some periodicity criteria for functional differential equations. Manuscripta Math 23, 295–318 (1978). https://doi.org/10.1007/BF01171755

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  • DOI: https://doi.org/10.1007/BF01171755

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