Homoclinic and quasi-homoclinic solutions for damped differential equations

We study the existence and multiplicity of homoclinic solutions for the second-order damped differential equation $$ \ddot{u}+c\dot{u}-L(t)u+W_u(t,u)=0, $$ where L(t) and W(t,u) are neither autonomous nor periodic in t. Under certain assumptions on L and W, we obtain infinitely many homoclinic...

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Bibliografske podrobnosti

Principais autores:	Chuan-Fang Zhang, Zhi-Qing Han
Format:	Artigo
Jezik:	Inglês
Izdano:	Texas State University 2015-01-01
Serija:	Electronic Journal of Differential Equations
Teme:	Homoclinic solution Mountain pass theorem damped differential equation Nehari manifold
Online dostop:	http://ejde.math.txstate.edu/Volumes/2015/15/abstr.html
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