Artículo
Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
Fecha de publicación:
10/2018
Editorial:
American Institute of Mathematical Sciences
Revista:
Discrete And Continuous Dynamical Systems
ISSN:
1078-0947
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation between the degeneracy of the zeroes of the weight function and the order of one of the singularities of the non-linear term. The proof is based on the classical Leray-Schauder continuation theorem. Some applications to important mathematical models are presented.
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Amster, Pablo Gustavo; Zamora, Manuel; Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 38; 10; 10-2018; 4819-4835
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