Geodesic
Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
Eduardo Hernández M.1 ; Hernán R. Henríquez2
1 Departamento de Matemática I.C.M.C., Universidade de São Paulo 13560-970 São Carlos, SP, Brasil
2 Departamento de Matemática Universidad de Santiago Casilla 307, Correo 2 Santiago, Chile
Annales Polonici Mathematici, Tome 83 (2004) no. 2, pp. 149-170.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.
DOI : 10.4064/ap83-2-6
Keywords: using theory strongly continuous cosine families properties completely continuous maps study existence mild strong classical asymptotically almost periodic solutions functional second order abstract cauchy problem nonlocal conditions

Eduardo Hernández M. 1 ; Hernán R. Henríquez 2

1 Departamento de Matemática I.C.M.C., Universidade de São Paulo 13560-970 São Carlos, SP, Brasil
2 Departamento de Matemática Universidad de Santiago Casilla 307, Correo 2 Santiago, Chile 
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Eduardo Hernández M.; Hernán R. Henríquez. Global solutions for a functional second order
 abstract Cauchy problem with nonlocal conditions. Annales Polonici Mathematici, Tome 83 (2004) no. 2, pp. 149-170. doi : 10.4064/ap83-2-6. http://geodesic.mathdoc.fr/articles/10.4064/ap83-2-6/

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