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.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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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
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- Sources of funding:
- Verified by:
- Gdańsk University of Technology
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