On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems
| العنوان: | On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems |
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| المؤلفون: | Nils Waterstraat, Joanna Janczewska, Jakub Ciesielski |
| المصدر: | Journal of Dynamics and Differential Equations. |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Pure mathematics, Uniform convergence, 010102 general mathematics, Order (ring theory), Dynamical Systems (math.DS), Type (model theory), 01 natural sciences, Hamiltonian system, 010101 applied mathematics, Square-integrable function, QA372, Bounded function, FOS: Mathematics, QA299, Nabla symbol, Homoclinic orbit, Mathematics - Dynamical Systems, 0101 mathematics, Analysis, Mathematics |
| الوصف: | We show the existence of homoclinic type solutions of second order Hamiltonian systems with a potential satisfying a relaxed superquadratic growth condition and a forcing term that is sufficiently small in the space of square integrable functions. The idea of our proof is to approximate the original system by time-periodic ones, with larger and larger time-periods. We prove that the latter systems admit periodic solutions of mountain-pass type, and obtain homoclinic type solutions of the original system from them by passing to the limit (in the topology of almost uniform convergence) when the periods go to infinity. 13 pages, 9 figures |
| وصف الملف: | application/pdf |
| تدمد: | 1572-9222 1040-7294 0893-4983 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48505b78036e0077ecf2af79d5819784 https://doi.org/10.1007/s10884-019-09774-x |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....48505b78036e0077ecf2af79d5819784 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15729222 10407294 08934983 |
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