Some multiplicity results of homoclinic solutions for second order Hamiltonian systems

We look for homoclinic solutions \(q:\mathbb{R} \rightarrow \mathbb{R}^N\) to the class of second order Hamiltonian systems \[-\ddot{q} + L(t)q = a(t) \nabla G_1(q) - b(t) \nabla G_2(q) + f(t) \quad t \in \mathbb{R}\] where \(L: \mathbb{R}\rightarrow \mathbb{R}^{N \times N}\) and \(a,b: \mathbb{R}\...

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Bibliographic Details
Main Authors: Sara Barile, Addolorata Salvatore
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-02-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol40/1/art/opuscula_math_4002.pdf