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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-3-2, author = {Xianlong Fu and Ming Li}, title = {Maximal regularity of second-order evolution equations with infinite delay in Banach spaces}, journal = {Studia Mathematica}, volume = {223}, year = {2014}, pages = {199-219}, zbl = {1321.34100}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-3-2} }
Xianlong Fu; Ming Li. Maximal regularity of second-order evolution equations with infinite delay in Banach spaces. Studia Mathematica, Tome 223 (2014) pp. 199-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-3-2/