Existence of fast homoclinic solutions for a class of second-order damped vibration systems
Abstract By applying the mountain pass theorem in critical point theory, the existence of fast homoclinic solutions is obtained for the following second-order damped vibration system: u¨(t)+q(t)u˙(t)−L(t)u(t)−a(t)|u(t)|p−2u(t)+∇W(t,u(t))=0, $$\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)-a(t) \bigl\vert u(t)...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-0995-x |