We discuss the existence of mild solutions for abstract second-order differential equation with nonlocal conditions. Also we consider some application of our results.
Submitted December 2, 2008. Published August 11, 2009.
Math Subject Classifications: 35R10, 47D09.
Key Words: Second order differential equations; cosine function of operators; abstract Cauchy problem.
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| Eduardo Hernández |
Departamento de Matemática
I.C.M.C. Universidade de Sao Paulo
Caixa Postal 668, 13560-970, Sao Carlos SP, Brazil
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