Existencia de solución para un sistema Hamiltoniano Fraccionario
| dc.contributor.advisor | Torres Ledesma, César Enrique | |
| dc.contributor.author | Zubiaga Vera, Willy Frank | |
| dc.date.accessioned | 2023-11-02T17:35:13Z | |
| dc.date.available | 2023-11-02T17:35:13Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | En este trabajo se considera la existencia de solución débil para un sistema Hamiltoniano fraccionario de la forma (P) tD↵1(−1D↵ t u(t)) + L(t)u(t) = rW(t, u(t)) donde ↵ 2 (1/2, 1), L 2 C(R,Rn2) es una matriz sim´etrica positiva definida, W(t, u) = a(t)V (t) con a 2 C(R,R+) y V 2 C1(Rn,R). Suponiendo que existe una constanteM > 0 tal que (L(t)u, u) # M|u|2 para todo (t, u) 2 R ⇥ Rn y V satisface la condici´on global de Ambrosetti-Rabinowitz y otras condiciones adecuadas, se demuestra la existencia de una solución débil para (P), al usar el teorema del paso de la montaña. | |
| dc.description.abstract | In this work we deal with the existence of weak solution for the fractional Hamiltonian systems (P) tD↵1(−1D↵ t u(t)) + L(t)u(t) = rW(t, u(t)) where ↵ 2 (1/2, 1), L 2 C(R,Rn2) is a symmetric and positive definite matrix, W(t, u) = a(t)V (t) with a 2 C(R,R+) and V 2 C1(Rn,R). Assuming that there is a constantM > 0 such that (L(t)u, u) # M|u|2 for all (t, u) 2 R ⇥ Rn and V satisfies the global Ambrosetti- Rabinowitz condition and other suitable conditions, we show the existence of one nontrivial weak solution to (P), by using the Mountain pass theorem. | |
| dc.format | application/pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14414/19259 | |
| dc.language.iso | es | |
| dc.publisher | Universidad Nacional de Trujillo | |
| dc.publisher.country | PE | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Sistema hamiltoniano fraccionario | |
| dc.subject | Espacios fraccionarios | |
| dc.subject | Métodos variacionales | |
| dc.subject | Teorema del paso de la montaña | |
| dc.subject.ocde | https://purl.org/pe-repo/ocde/ford#1.01.00 | |
| dc.title | Existencia de solución para un sistema Hamiltoniano Fraccionario | |
| dc.type | info:eu-repo/semantics/doctoralThesis | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| renati.juror | Méndez Cruz, Gilberto Amado | |
| renati.juror | Maco Vásquez, Wilson Arcenio | |
| renati.juror | Torres Ledesma, César Enrique | |
| renati.level | http://purl.org/pe-repo/renati/level#doctor | |
| renati.type | http://purl.org/pe-repo/renati/type#tesis | |
| thesis.degree.discipline | Doctorado en Matemática | |
| thesis.degree.grantor | Universidad Nacional de Trujillo. Escuela de Postgrado. | |
| thesis.degree.name | Doctor en Matemática |