New existence and multiplicity of homoclinic solutions for second order non-autonomous systems

In this paper, we study the second order non-autonomous system \begin{eqnarray*} \ddot{u}(t)+A\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0, \ \ \forall t\in\mathbb{R}, \end{eqnarray*} where $A$ is an antisymmetric $N\times N$ constant matrix, $L\in C(\mathbb{R},\mathbb{R}^{N\times N})$ may not be unifo...

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Detalhes bibliográficos

Principais autores:	Huiwen Chen, Zhimin He
Formato:	Artigo
Idioma:	Inglês
Publicado em:	University of Szeged 2014-05-01
Colecção:	Electronic Journal of Qualitative Theory of Differential Equations
Assuntos:	non-autonomous systems; homoclinic solutions; variational methods; mountain pass theorem; fountain theorem.
Acesso em linha:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2754
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