Journal of Applied Mathematics and Stochastic Analysis
Volume 2005 (2005), Issue 3, Pages 259-274
doi:10.1155/JAMSA.2005.259
Abstract
In this paper, we study the existence of an almost periodic solution for some partial functional differential equation with infinite delay. We assume that the linear part is nondensely defined and satisfies the known Hille-Yosida condition. We prove if the null solution of the homogeneous equation is ℬ𝒞-total stable, then the nonhomogeneous equation has an almost periodic solution.