Homoclinics for singular strong force Lagrangian systems - Publication - Bridge of Knowledge

Your account

login

Search

Homoclinics for singular strong force Lagrangian systems

Abstract

We study the existence of homoclinic solutions for a class of generalized Lagrangian systems in the plane, with a C1-smooth potential with a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin.Under a strong force condition around the singular point ξ, via minimization of an action integral, we will prove the existence of at least two geometrically distinct homoclinic solutions.

Citations

  • 5

    CrossRef

  • 0

    Web of Science

  • 5

    Scopus

Authors (3)

Cite as

Full text

download paper
downloaded 72 times
Publication version
Accepted or Published Version
License
Creative Commons: CC-BY open in new tab

Keywords

Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
Advances in Nonlinear Analysis no. 9, pages 644 - 653,
ISSN: 2191-9496
Language:
English
Publication year:
2020
Bibliographic description:
Izydorek M., Janczewska J., Mawhin J.: Homoclinics for singular strong force Lagrangian systems// Advances in Nonlinear Analysis -Vol. 9,iss. 1 (2020), s.644-653
DOI:
Digital Object Identifier (open in new tab) 10.1515/anona-2020-0018
Sources of funding:
Verified by:
Gdańsk University of Technology

seen 182 times

Recommended for you

Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3

2012

On the existence of homoclinic type solutions of inhomogenous Lagrangian systems

2017

Approximative sequences and almost homoclinic solutions for a class of second order perturbed Hamiltonian systems

2014

Homoclinics for singular strong force Lagrangian systems in R^N

2021
Meta Tags