A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order ODEs (Q1005280)
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scientific article; zbMATH DE number 5526379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order ODEs |
scientific article; zbMATH DE number 5526379 |
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A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order ODEs (English)
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9 March 2009
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The authors consider the existence of anti-periodic solutions to equations of the form \(\ddot q=u(t,q)\) by the fixed point theory via the Green's function for anti-periodic boundary value problem. Their method is inspired by the ideas in the paper by \textit{P. H. Rabinowitz} and \textit{E. Stredulinsky} [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No.~5, 673--688 (2004; Zbl 1149.35341)].
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anti-periodic solution
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heteroclinic solution
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Leray-Schauder degree
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variation methods
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