Two Almost Homoclinic Solutions for a Class of Perturbed Hamiltonian Systems Without Coercive Conditions

In this paper we consider the existence of almost homoclinic solutions for the following second order perturbed Hamiltonian systems  ü- L(t)u + ∇W (t, u) = f (t), (PHS)  where  is a symmetric and positive definite matrix for all t ∈ R, W ∈ C1(R×Rn, R) and ∇W (t, u) is the gradient of W (t, u) at u,...

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Bibliographic Details
Main Authors: Ziheng Zhang, Rong Yuan
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-02-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/987