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