Generic existence of nondegenerate homoclinic solutions
- Авторлар: Motreanu D.1, Motreanu V.2
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Мекемелер:
- Université de Perpignan
- Collège Jean Moulin
- Шығарылым: Том 38, № 2 (2017)
- Беттер: 322-329
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199037
- DOI: https://doi.org/10.1134/S1995080217020159
- ID: 199037
Дәйексөз келтіру
Аннотация
The paper focuses on the homoclinic solutions of a general second order Hamiltonian system. By applying an abstract parametric transversality result, it is shown that generically the problem admits finitely many homoclinic solutions. These solutions are nondegenerate in the sense that they correspond to nondegenerate critical points of the associated functional and depend smoothly on the vector field.
Негізгі сөздер
Авторлар туралы
D. Motreanu
Université de Perpignan
Хат алмасуға жауапты Автор.
Email: motreanu@univ-perp.fr
Франция, Perpignan, 66860
V. Motreanu
Collège Jean Moulin
Email: motreanu@univ-perp.fr
Франция, Tomblaine, 54510
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