On the existence of homoclinic type solutions of inhomogenous Lagrangian systems

Jakub Ciesielski; Joanna Janczewska; Nils Waterstraat

On the existence of homoclinic type solutions of inhomogenous Lagrangian systems

Abstract

We study the existence of homoclinic type solutions for a class of inhomogenous Lagrangian systems with a potential satisfying the Ambrosetti-Rabinowitz superquadratic growth condition and a square integrable forcing term. A homoclinic type solution is obtained as a limit of periodic solutions of an approximative sequence of second order differential equations.

Authors (3)

Jakub Ciesielski mgr inż.
Joanna Janczewska prof. dr hab.
Nils Waterstraat
- University of Kent School of Mathematics, Statistics and Actuarial Science

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Differential and Integral Equations no. 30, pages 259 - 272,
ISSN: 0893-4983
Language:: English
Publication year:: 2017
Bibliographic description:: Ciesielski J., Janczewska J., Waterstraat N.: On the existence of homoclinic type solutions of inhomogenous Lagrangian systems// Differential and Integral Equations. -Vol. 30, nr. 3-4 (2017), s.259-272
Verified by:: Gdańsk University of Technology