First-order differential inclusions with nonlocal initial conditions

First-order differential inclusions with nonlocal initial condition

We investigate initial value problems for first-order difkreutial inclusions with nonlocal conditions. We provide conditions on the right-hand side that are suiBcieut for obtainlug a priori hounds on solutions. We then rely on a theorem of Bohneublust and Karlin to prove existeuce of at least one solution. @ 2002 Elseviir Science Ltd. All rights reserved. KeyWords-Differential inclusion, Nonloc...

First Order Impulsive Differential Inclusions with Periodic Conditions

In this paper, we present an impulsive version of Filippov's Theorem for the first-order nonresonance impulsive differential inclusion y (t) − λy(t) ∈ F (t, y(t)), a.e. characterize the jump of the solutions at impulse points t k (k = 1,. .. , m.). Then the relaxed problem is considered and a Filippov-Wasewski result is obtained. We also consider periodic solutions of the first order impulsive ...

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions

This paper investigates the existence of solutions for fractional-order neutral impulsive differential inclusions with nonlocal conditions. Utilizing the fractional calculus and fixed point theorem for multivalued maps, new sufficient conditions are derived for ensuring the existence of solutions. The obtained results improve and generalize some existed results. Finally, an illustrative example...

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 ...