| Texto completo | |
| Autor(es): |
Alves, Claudianor O.
;
Carriao, Paulo C.
;
Faria, Luiz F. O.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 12, n. 4, p. 13-pg., 2011-08-01. |
| Resumo | |
In this paper, we study the existence of homoclinic solutions for the following class of second order ordinary differential equations (ODEs) {-(A(u(t)u'(t))' + u(t) = h(t, u(t)) + g(t, u'(t)), t is an element of R u(+/-infinity) = u'(+/-infinity) = 0, (P) where A, h and g are nonnegative continuous functions. Using Galerkin's Method and assuming additional hypotheses on A, h and g, we show the existence of a homoclinic solution to problem (P). (C) 2011 Elsevier Ltd. All rights reserved. (AU) | |
| Processo FAPESP: | 07/03399-0 - Claudianor Oliveira Alves | Centro de Ciências e Tecnologia/UFCG - Brasil |
| Beneficiário: | Sergio Henrique Monari Soares |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |