DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Periodic Solutions of Functional Dynamic Equations with Infinite Delay

In this paper, sufficient criteria are established for the existence of periodic solutions of some functional dynamic equations with infinite delays on time scales, which generalize and incorporate as special cases many known results for differential equations and for difference equations when the time scale is the set of the real numbers or the integers, respectively. The approach is mainly ba...

existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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On the Asymptotic Stability of the Solutions of Functional Differential Equations with Infinite Delay

Existence of solutions in the α-norm for partial functional differential equations with infinite delay

In this work, we prove a result on the local existence of mild solution in the α-norm for some partial functional differential equations with infinite delay. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work. Some application is provided.