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.
Multiplicity of homoclinics for a class of time recurrent second order Hamiltonian systems.
NOLASCO, MARGHERITA;
1997-01-01
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.File in questo prodotto:
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