ℬ𝒞-total stability and almost periodicity for some partial functional differential equations with infinite delay

Abdelhai Elazzouzi, Khalil Ezzinbi
2005 Journal of Applied Mathematics and Stochastic Analysis  
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 isℬ𝒞-total stable, then the nonhomogeneous equation has an almost periodic solution.
doi:10.1155/jamsa.2005.259 fatcat:jclr2jt4wnhxbo2sdw22mwu4ri