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EnglishWe prove the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems in R-N of the form q = q - W'(t,q), where we assume the existence of a sequence (t(n)) subset of R such that t(n) --> +/-infinity and W'(t + t(n),x) --> W'(t,x) as n --> +/-infinity for any (t,x) is an element of R x R-N. Moreover, under a suitable non degeneracy condition, we prove that this class of systems admits multibump solutions.
| Titolo: | Multiplicity of homoclinics for a class of time recurrent second order Hamiltonian systems. |
| Autori: | |
| Data di pubblicazione: | 1997 |
| Rivista: | |
| Abstract: | We prove the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems in R-N of the form q = q - W'(t,q), where we assume the existence of a sequence (t(n)) subset of R such that t(n) --> +/-infinity and W'(t + t(n),x) --> W'(t,x) as n --> +/-infinity for any (t,x) is an element of R x R-N. Moreover, under a suitable non degeneracy condition, we prove that this class of systems admits multibump solutions. |
| Handle: | http://hdl.handle.net/11697/20256 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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