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Periodic solutions of ordinary differential equations with one-sided growth restrictions

Published online by Cambridge University Press:  14 November 2011

J. Mawhin  and
W. Walter
J. Mawhin
Affiliation:
Institut Mathématique, Université de Louvain, Belgium
W. Walter
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, West Germany
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Synopsis

The existence of periodic solutions is proved for first order vector ordinary and functional differential equations when the right-hand side satisfies a one-sided growth restriction of Wintner type together with some conditions of asymptotic nature. Special cases in the line of Landesman-Lazer and of Winston are explicited.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 1-2 , 1978 , pp. 95 - 106
Copyright
Copyright © Royal Society of Edinburgh 1978

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