Infinitely Many Fast Homoclinic Solutions for Damped Vibration Systems with Combined Nonlinearities

This article  concerns the existence of fast homoclinic solutions for the following damped vibration system\begin{equation*}\frac{d}{dt}(P(t)\dot{u}(t))+q(t)P(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\end{equation*}where $P,L\in C\left(\mathbb{R},\mathbb{R}^{N^{2}}\right)$ are symmetric and positive...

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Bibliographic Details
Main Author: Mohsen Timoumi
Format: Article
Language:English
Published: University of Maragheh 2024-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_708349_4bdf4975098814b54809b27a9a5c9dcc.pdf