Homoclinic solutions for subquadratic Hamiltonian systems with competition potentials
In this paper, we consider of the following second-order Hamiltonian system \begin{equation*} \ddot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\qquad \forall t \in \mathbb{R}, \end{equation*} where $W(t,x)$ is subquadratic at infinity. With a competition condition, we establish the existence of homoclinic s...
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Main Authors: | Ruiqi Liu, Dong-Lun Wu, Jia-Feng Liao |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2024-01-01
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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=10529 |
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