Electron. J. Diff. Eqns., Vol. 2005(2005), No. 73, pp. 1-17.

Existence results for a second-order abstract Cauchy problem with nonlocal conditions

Eduardo Hernandez M., Mauricio L. Pelicer

Abstract:
In this paper we study the existence of mild and classical solutions for a second-order abstract Cauchy problem with nonlocal conditions.

Submitted January 25, 2005. Published July 5, 2005.
Math Subject Classifications: 47D09, 47N20, 34G10.
Key Words: Abstract Cauchy problem; Cosine functions of operators

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Eduardo Hernandez M.
Departamento de Matematica
Instituto de Ciencias Matematicas de Sao Carlos
Universidade de Sao Paulo, Caixa Postal 668
13560-970 Sao Carlos, SP. Brazil
email: lalohm@icmc.sc.usp.br
Mauricio L. Pelicer
Departamento de Matematica
Instituto de Ciencias Matematicas de Sao Carlos
Universidade de Sao Paulo, Caixa Postal 668
13560-970 Sao Carlos, SP. Brazil
email: mpelicer@icmc.sc.usp.br

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