Maximal regularity of second-order evolution equations with infinite delay in Banach spaces
Studia Mathematica, Tome 224 (2014) no. 3, pp. 199-219

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm224-3-2
Keywords: using fourier multiplier theorems characterize existence uniqueness periodic solutions class second order differential equations infinite delay establish maximal regularity results equations various spaces example provided illustrate applications results obtained

Xianlong Fu 1 ; Ming Li 1

1 Department of Mathematics Shanghai Key Laboratory of PMMP East China Normal University Shanghai, 200241, P.R. China
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Xianlong Fu; Ming Li. Maximal regularity of second-order evolution equations
 with infinite delay in Banach spaces. Studia Mathematica, Tome 224 (2014) no. 3, pp. 199-219. doi: 10.4064/sm224-3-2

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