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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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