Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials
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Date
2017-09-07
Authors
Lv, Xiang
Journal Title
Journal ISSN
Volume Title
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. Electronic Journal of Differential Equations, 2017(205), pp. 1-7.
Rights
Attribution 4.0 International