Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials

Date

2017-09-07

Authors

Lv, Xiang

Journal Title

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Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we establish sufficient conditions for the existence of homoclinic solutions for a class of second-order Hamiltonian systems ü(t) - L(t)u(t) + ∇W (t, u(t)) = ƒ(t), where L(t) is a positive definite symmetric matrix for all t ∈ ℝ. It is worth pointing out that the potential function W(t, u) is locally defined and can be superquadratic or subquadratic with respect to u.

Description

Keywords

Homoclinic solutions, Hamiltonian systems, Variational methods

Citation

Lv, X. (2017). Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials. <i>Electronic Journal of Differential Equations, 2017</i>(205), pp. 1-7.

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Attribution 4.0 International

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