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Abstract
In this work we will be concerned with the existence of an almost homoclinic solution for a perturbed Newtonian system in a finite dimensional space. It is assumed that a potential is C^1 smooth and its gradient is bounded with respect to a time variable. Moreover, a forcing term is continuous, bounded and squere integrable. We will show that the appproximative scheme due to J. Janczewska for a time periodic potential extends to our case.
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- DOI:
- Digital Object Identifier (open in new tab) 10.4064/bc101-0-8
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
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BANACH CENTER PUBLICATIONS
no. 101,
pages 107 - 113,
ISSN: 0137-6934 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Krawczyk R.: A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems// BANACH CENTER PUBLICATIONS. -Vol. 101., (2014), s.107-113
- DOI:
- Digital Object Identifier (open in new tab) 10.4064/bc101-0-8
- Verified by:
- Gdańsk University of Technology
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