Test for disconjugacy of a differential inclusion of neutral type.
The initial boundary value problem of a mixed-typed hemivariational inequality.
The lower and upper solutions method for first order differential inclusions with nonlinear boundary conditions.
The method of upper and lower solutions for Carathéodory -th order differential inclusions.
The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses
In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.
The method of upper and lower solutions for perturbed nth order differential inclusions
In this paper, an existence theorem for nth order perturbed differential inclusion is proved under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions on the multi-functions involved in the inclusion. Our results extend the existence results of Dhage et al. [7,8] and Agarwal et al. [1].
The solution set of a differential inclusionon a closed set of a Banach space
We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.
Three periodic solutions for an ordinary differential inclusion with two parameters
Applying a nonsmooth version of a three critical points theorem of Ricceri, we prove the existence of three periodic solutions for an ordinary differential inclusion depending on two parameters.
Topological properties of solution sets for sweeping processes with delay.
Topological properties of the solution set of integrodifferential inclusions
In this paper we examine nonlinear integrodifferential inclusions in . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space and the retraction can be chosen to depend continuously on a parameter . Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retract of . Finally we prove some continuous dependence results.
Topological structure of solution sets of differential inclusions: the constrained case.
Topological structure of solution sets to multi-valued asymptotic problems.