A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems
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 exist...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet, Hamilton rendszer |
| doi: | 10.14232/ejqtde.2021.1.68 |
| Online Access: | http://acta.bibl.u-szeged.hu/73720 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 13 |
| ISSN: | 1417-3875 |