Relaxation Problems Involving Second-Order Differential Inclusions
نویسندگان
چکیده
and Applied Analysis 3 moreover we summarize some properties of a Hartman-type function. Lemma 4 (see [8]). LetG : I×I → R be the function defined as follows: as 0 ≤ t < η, G (t, τ) = { { { { { { { { { {
منابع مشابه
Discrete Approximations, Relaxation, and Optimization of One-Sided Lipschitzian Differential Inclusions in Hilbert Spaces
We study discrete approximations of nonconvex differential inclusions in Hilbert spaces and dynamic optimization/optimal control problems involving such differential inclusions and their discrete approximations. The underlying feature of the problems under consideration is a modified one-sided Lipschitz condition imposed on the right-hand side (i.e., on the velocity sets) of the differential in...
متن کاملSystems of Differential Inclusions in the Absence of Maximum Principles and Growth Conditions
This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction...
متن کاملBoundary Value Problems for Fractional Differential Inclusions with Four-point Integral Boundary Conditions
In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory. Full text
متن کاملNonlinear second-order multivalued boundary value problems
In this paper we study nonlinear second-order differential inclusions involving the ordinary vector p-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and unifying and incorporates gradient systems, evolutionary variational inequalities and the classical boundary value problems, namely the Dirichlet, the Neumann and the p...
متن کاملExistence of Solutions for Hyperbolicdifferential Inclusions in Banach
In this paper we examine nonlinear hyperbolic inclusions in Banach spaces. With the aid of a compactness condition involving the ball measure of non-compactness we prove two existence theorems. The rst for problems with convex valued orientor elds and the second for problems with nonconvex valued ones.
متن کامل