Publicação
Positive Homoclinic solutions for a class of second order differential equations
| Resumo: | We study the existence of positive homoclinic solutions of the second order equation … Assuming that the coefficient functions are …, we prove the existence of a nontrivial positive homoclinic solution of Eq. I whenever … This homoclinic is derived as the limit of positive solutions of some approximating problems that are obtained by using the mountain pass theorem. Using the same method we also prove under adequate assumptions the existence of positive symmetric homoclinic solutions. |
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| Autores principais: | Grossinho, Maria do Rosário |
| Outros Autores: | Minhós, Feliz; Tersianc, Stepan |
| Assunto: | Positive Homoclinic Solutions Differential Equations Symmetric Hamiltonian Systems |
| Ano: | 1999 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| Resumo: | We study the existence of positive homoclinic solutions of the second order equation … Assuming that the coefficient functions are …, we prove the existence of a nontrivial positive homoclinic solution of Eq. I whenever … This homoclinic is derived as the limit of positive solutions of some approximating problems that are obtained by using the mountain pass theorem. Using the same method we also prove under adequate assumptions the existence of positive symmetric homoclinic solutions. |
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