Song Mingliang and Li Runzhen: A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems. (2021)
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Abstract
We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati, Ekeland and Séré. We also investigate the existence of nontrivial homoclinic orbit of indefinite second order systems as another application of the theorem.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 68 |
| ISSN: | 1417-3875 |
| Number of Pages: | 13 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2021.1.68 |
| Uncontrolled Keywords: | Differenciálegyenlet, Hamilton rendszer |
| Additional Information: | Bibliogr.: p. 12-13. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 11. 10:17 |
| Last Modified: | 2021. Nov. 11. 10:17 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73720 |
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