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Abstract
The study of existence and multiplicity of solutions of differential equations possessing a variational nature is a problem of great meaning since most of them derives from mechanics and physics. In particular, this relates to Hamiltonian systems including Newtonian ones. During the past thirty years there has been a great deal of progress in the use of variational methods to find periodic, homoclinic and heteroclinic solutions of Hamiltonian systems. Hamiltonian systems with singular potentials, i.e. potentials that become infinite at a point or a larger subset of Euclidean space, are among those of the greatest interest.
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- Category:
- Monographic publication
- Type:
- rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
- Title of issue:
- Extended Abstracts Spring 2014: Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution strony 39 - 43
- Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Janczewska J.: Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems// Extended Abstracts Spring 2014: Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution/ ed. Montserrat Corbera, Josep Maria Cors, Jaume Llibre, Andrei Korobeinikov Basel: Birkhauser, 2015, s.39-43
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/978-3-319-22129-8_7
- Verified by:
- Gdańsk University of Technology
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