Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

Existence Results for Stochastic Semilinear 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 Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions

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

Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces

In this paper we investigate the existence and controllability of mild solutions to the first order semilinear evolution inclusions in Banach spaces with nonlocal conditions. We shall rely of a fixed point theorem for condensing maps due to Martelli.

Some existence results for differential inclusions of fractional order with nonlocal strip conditions

*Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Abstract In this paper, the existence of solutions for differential inclusions of fractional order q ∈ (1, 2] with nonlocal strip conditions is investigated. Our study includes two cases: (i) the multivalued map involved in the problem is not ...