Fast homoclinic solutions for damped vibration problems with superquadratic potentials

Fast homoclinic solutions for damped vibration problems with superquadratic potentials

Abstract In this paper we investigate the existence and multiplicity of homoclinic solutions for the following damped vibration problem: DS u¨+q(t)u˙−L(t)u+Wu(t,u)=0, $$ \ddot{u}+q(t) \dot{u}-L(t)u+W_{u}(t,u)=0, $$ where q:R→R $q:\mathbb{R}\rightarrow\mathbb{R}$ is a continuous function, L∈C(R,Rn2)...

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Bibliographic Details
Main Authors: Xinhe Zhu, Ziheng Zhang
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Homoclinic solutions
Critical point
Variational methods
Mountain pass theorem
Online Access:http://link.springer.com/article/10.1186/s13661-018-1103-y

Internet

http://link.springer.com/article/10.1186/s13661-018-1103-y

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