Results 1 to 10 of about 67,057 (173)
Generalized Solutions of Functional Differential Inclusions [PDF]
Abstract and Applied Analysis, 2008 We consider the initial value problem for a functional differential inclusion with a Volterra multivalued mapping that is not necessarily decomposable in . The concept of the decomposable hull of a set is introduced. Using this concept, we define a generalized solution of such a problem and study its properties.
Anna Machina +2 more
doaj +3 more sources
Nonresonance impulsive higher order functional nonconvex-valued differential inclusions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional differential inclusions in Banach spaces with nonconvex valued right hand side. They present two results.
Mouffak Benchohra +3 more
doaj +3 more sources
Functional differential inclusions with integral boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2007 In this paper, we investigate the existence of solutions for a class of second order functional differential inclusions with integral boundary conditions.
Mouffak Benchohra +2 more
doaj +3 more sources
Initial boundary value problems for second order impulsive functional differential inclusions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2003 In this paper we investigate the existence of solutions for initial and boundary value problems for second order impulsive functional differential inclusions.
Mouffak Benchohra, Abdelghani Ouahab
doaj +3 more sources
An existence result for neutral functional differential inclusions in a Banach space [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper we prove the existence of mild solutions for semilinear neutral functional differential inclusions with unbounded linear part generating a noncompact semigroup in a Banach space. This work generalizes the result given in [4].
Lahcene Guedda, A. Hallouz
doaj +2 more sources
Existence results for nondensely defined semilinear functional differential inclusions in Fréchet spaces [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2005 In this paper, a recent Frigon nonlinear alternative for contractive multivalued maps in Fréchet spaces, combined with semigroup theory, is used to investigate the existence of integral solutions for first order semilinear functional differential ...
Johnny Henderson, Abdelghani Ouahab
doaj +3 more sources
Optimal Control of Neutral Functional-Differential Inclusions
SIAM Journal on Control and Optimization, 2004 Summary: This paper deals with optimal control problems for dynamical systems governed by constrained functional-differential inclusions of neutral type. Such control systems contain time delays not only in state variables but also in velocity variables, which make them essentially more complicated than delay-differential (or differential-difference ...
Boris S Mordukhovich, Lianwen Wang
exaly +4 more sources
On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives
Mathematics, 2019 We prove the existence of solutions for neutral functional differential inclusions involving Hadamard fractional derivatives by applying several fixed point theorems for multivalued maps. We also construct examples for illustrating the obtained results.
Bashir Ahmad +3 more
doaj +3 more sources
EXISTENCE OF THE INTEGRAL SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS
Journal of the Korean Mathematical Society, 2004 The authors prove the existence of integral solutions for a functional differential inclusion of the form \(y'(t)\in Ay(t)+F(t,y_t)\), a.e. for \(t\in [\,0,b\,]\) subjected to the nonlocal condition \(y(t)+(\xi(y_{t_1},\dots,y_{t_p}))(t)=\phi(t)\), for \(t\in [\,-r,0\,]\), where \(A\) is a closed linear operator generating an integrated semigroup in a ...
Park, Jong Yeoul +2 more
exaly +3 more sources
On a class of controlled functional differential inclusions
Le Matematiche, 2013 The aim of this paper is to establish the existence of solutions and some properties of solutions set for a class of functional differential equations with causal operator under assumption that the equation satisfies the Carathéodory type condition. Also,
Sadia Arshad, Vasile Lupulescu
doaj +2 more sources