Periodic solutions to differential systems with unbounded or periodic nonlinearities (Q855442)
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scientific article; zbMATH DE number 5077904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions to differential systems with unbounded or periodic nonlinearities |
scientific article; zbMATH DE number 5077904 |
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Periodic solutions to differential systems with unbounded or periodic nonlinearities (English)
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7 December 2006
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The authors investigate the existence and multiplicity of periodic solutions to differential systems of Josephson type. They prove some variants of results obtained by K. C. Chang and others [see also \textit{A. Fonda} and \textit{J. Mawhin}, in: M. Themistocles Rassias (ed.), The Problem of Plateau: A tribute to J. Douglas and T. Rado. London: World Scientific Publishing Co. Pte. Ltd, 111--128 (1992; Zbl 0798.58028)]. The proofs use variational methods, and in particular the saddle point theorem with some of its generalizations.
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Josephson-type system
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saddle point theorem
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