Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials
In this paper, we consider the following perturbed second-order Hamiltonian system $$ -\ddot{u}(t)+L(t)u=\nabla W(t,u(t))+\nabla G(t,u(t)), \qquad \forall \ t\in \mathbb{R}, $$ where $W(t,u)$ is subquadratic near origin with respect to $u$; the perturbation term $G(t,u)$ is only locally defined near...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2020-01-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7414 |