Pontryagin type conditions for differential inclusions with free time

Existence Results for Fractional Differential Inclusions with Separated Boundary Conditions

In this paper, we apply Bohnenblust-Karlins fixed point theorem to prove the existence of solutions for a class of fractional differential inclusions with separated boundary conditions. Some applications of the main result are also presented.

Existence of Solutions for Fractional Differential Inclusions with Boundary Conditions

This article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous multivalued maps.

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

Stochastic differential inclusions of semimonotone type in Hilbert spaces

In this paper, we study the existence of generalized solutions for the infinite dimensional nonlinear stochastic differential inclusions $dx(t) in F(t,x(t))dt +G(t,x(t))dW_t$ in which the multifunction $F$ is semimonotone and hemicontinuous and the operator-valued multifunction $G$ satisfies a Lipschitz condition. We define the It^{o} stochastic integral of operator set-valued stochastic pr...

Optimality Conditions and Regularity Results for Time Optimal Control Problems with Differential Inclusions

We study the time optimal control problem with a general target S for a class of differential inclusions that satisfy mild smoothness and controllability assumptions. In particular, we do not require Petrov’s condition at the boundary of S. Consequently, the minimum time function T (·) fails to be locally Lipschitz—never mind semiconcave—near S. Instead of such a regularity, we use an exterior ...