Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces

Eduardo Hernández M.; Hernán R. Henríquez

doi:10.1619/fesi.52.113

Eduardo Hernández M., Hernán R. Henríquez

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Keywords: Second-order abstract Cauchy problem, Differential equations in abstract spaces, Nonlocal conditions, Cosine function of operators, Almost periodic functions

JOURNAL FREE ACCESS

2009 Volume 52 Issue 1 Pages 113-137

DOI https://doi.org/10.1619/fesi.52.113

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Abstract

This work is concerned with implicit second order abstract differential equations with nonlocal conditions. Assuming that the involved operators satisfy some compactness properties, we establish the existence of local mild solutions, the existence of global mild solutions and the existence of asymptotically almost periodic solutions.

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