MR2538282 Eduardo HERNÁDEZ and Hernán R. HENRÍQUEZ Eduardo HERNÁDEZ and Hernán R. HENRÍQUEZ Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces Funkcialaj Ekvacioj. Serio Internacia 52 2009 113--137 http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-1/52_113.pdf http://www.ams.org/mathscinet-getitem?mr=MR2538282 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. Second-order abstract Cauchy problem, Differential equations in abstract spaces, Nonlocal conditions, Cosine function of operators, Almost periodic functions. Primary 34G10, 47D09; Secondary 34C27, 47J35. 52-113 2009 Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces Eduardo HERNÁDEZ and Hernán R. HENRÍQUEZ Eduardo HERNÁDEZ and Hernán R. HENRÍQUEZ
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