Existence Results for Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions

Existence and Controllability Results for Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions

In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions

The study of impulsive functional differential equations is linked to their utility in simulating processes and phenomena subject to short-time perturbations during their evolution. The perturbations are performed discretely and their duration is negligible in comparison with the total duration of the processes. That is why the perturbations are considered to take place “instantaneously” in the...

Semilinear nonlocal differential inclusions in Banach spaces

This paper is concerned with the existence of mild solutions to a class of semilinear differential inclusions with nonlocal conditions. By using the fixed point theory for multivalued maps, we get some general results on nonlocal differential inclusions, which include some recent results on nonlocal problems as special cases. An example of partial differential equations is provided to illustrat...

Existence Results for Impulsive Partial Neutral Functional Differential Inclusions

In this paper we prove existence results for first order semilinear impulsive neutral functional differential inclusions under the mixed Lipschitz and Carathéodory conditions.

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions