Maximal regularity of second-order evolution equations with infinite delay in Banach spaces
Volume 224 / 2014
Studia Mathematica 224 (2014), 199-219
MSC: Primary 45N05, 47N20; Secondary 34G10.
DOI: 10.4064/sm224-3-2
Abstract
By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.
