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Positive Homoclinic solutions for a class of second order differential equations
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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Positive Homoclinic Solutions Differential Equations Symmetric Hamiltonian Systems
Contexto Educativo
Citação
Grossinho, Maria do Rosário; Feliz Minhós and Stepan Tersian.(1999). "Positive homoclinic solutions for a class of second order differential equations". Journal of Mathematical Analysis and Applications, Vol. 240, No. 1: pp. 163-173. (Search PDF in 2023).
Editora
Elsevier