Controllability of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay

Existence of Solution of Nonlinear Second Order Neutral Stochastic Differential Inclusions with Infinite Delay

The paper is concerned with the existence of solution of nonlinear second order neutral stochastic differential inclusions with infinite delay in a Hilbert Space. Sufficient conditions for the existence are obtained by using a fixed point theorem for condensing maps. Keywords—Mild solution, Convex multivalued map, Neutral stochastic differential inclusions.

Controllability of Nonlinear Third-order Dispersion Inclusions with Infinite Delay

This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.

Controllability of Second Order Impulsive Neutral Functional Differential Inclusions with Infinite Delay

This paper is concerned with controllability of a partial neutral functional differential inclusion of second order with impulse effect and infinite delay. We introduce a new phase space to prove the controllability of an inclusion which consists of an impulse effect with infinite delay. We claim that the phase space considered by different authors is not correct. We establish the controllabili...

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay

Controllability of Damped Second-Order Neutral Impulsive Stochastic Functional Differential Systems with Infinite Delay

In this paper we study the controllability of damped second order neutral impulsive stochastic functional differential system with infinite delay in Hilbert spaces. Sufficient conditions for controllability results are obtained by using the theory of cosine families of bounded linear operators and fixed point technique. An example is provided to illustrate the theory.