| Texto completo | |
| Autor(es): |
Federson, Marcia
;
Grau, Rogelio
;
Mesquita, Carolina
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 60, n. 2, p. 36-pg., 2022-12-01. |
| Resumo | |
It is known that the concept of affine-periodicity encompasses classic notions of symmetries as the classic periodicity, anti-periodicity and rotating symmetries (in particular, quasi-periodicity). The aim of this pa-per is to establish the basis of affine-periodic solutions of generalized ODEs. Thus, for a given real number T > 0 and an invertible n x n matrix Q, with entries in C, we establish conditions for the existence of a (Q, T)-affine-periodic solution within the framework of nonautonomous general-ized ODEs, whose integral form displays the nonabsolute Kurzweil inte-gral, which encompasses many types of integrals, such as the Riemann, the Lebesgue integral, among others. The main tools employed here are the fixed point theorems of Banach and of Krasnosel'skii. We apply our main results to measure differential equations with Henstock-Kurzweil-Stiejtes righthand sides as well as to impulsive differential equations and dynamic equations on time scales which are particular cases of the former. (AU) | |
| Processo FAPESP: | 17/13795-2 - Integração Não Absoluta e Aplicações |
| Beneficiário: | Márcia Cristina Anderson Braz Federson |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |