Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
Volume 83 / 2004
Annales Polonici Mathematici 83 (2004), 149-170
MSC: 47D09, 34G10.
DOI: 10.4064/ap83-2-6
Abstract
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.