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Maximal regularity of second-order evolution equations with infinite delay in Banach spaces

Xianlong Fu, Ming Li (2014)

Studia Mathematica

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.

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