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Controllability results for impulsive functional differential inclusions

Reports on Mathematical Physics, 2004
Control problems appear in many branches of physics and technical sciences. In this paper we investigate the controllability of first order semilinear impulsive functional differential inclusions in the case where the right hand side is convex or nonconvex valued. All results are obtained by using fixed point results for multivalued mappings.
Mouffak Benchohra, Abdelghani Ouahab
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Necessary conditions for functional differential inclusions

Applied Mathematics & Optimization, 1996
The authors derive a necessary optimality condition in the form of a Hamiltonian inclusion for functional differential inclusions with finite-dimensional terminal constraints. A number of technical difficulties have to be solved in order to deal with the state space of continuous functions. For control problems, an adjoint equation is derived.
Clarke, F. H., Wolenski, P. R.
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On the neutral functional differential inclusions

Nonlinear Analysis: Theory, Methods & Applications, 1998
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Angelov, Vasil, Donchev, Tzanko
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Optimization of Neutral Functional-Differential Inclusions

Journal of Dynamical and Control Systems, 2014
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Mahmudov, Elimhan, Mastaliyeva, Dilara
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Singularly perturbed functional-differential inclusions

Set-Valued Analysis, 1995
The following singularly perturbed system of functional differential inclusions with state constraints is considered: \[ (x'(t), \varepsilon y'(t))\in F(t, x(t), y(t), x_t, y_t),\quad x(t)\in K_1,\;y(t)\in K_2, \] where \(K_1\), \(K_2\) are closed convex sets and \(x\in \mathbb{R}^n\), \(y\in \mathbb{R}^m\).
Donchev, Tzanko, Slavov, Iordan
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Functional differential inclusions generated by functional differential equations with discontinuities

Nonlinear Analysis: Theory, Methods & Applications, 2011
The aim of this paper is the study of functional differential equations with discontinuous right-hand side. In order to implement the fundamental idea of Filippov's theory and to define an analog of a solution in the Filippov sense, the authors suggest a formal procedure of obtaining a functional differential inclusion from a general functional ...
Shlykova, Irina, Bulgakov, Alexander, Ponosov, Arcady   +2 more
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Impulsive neutral functional differential inclusions in Banach spaces

Applied Mathematics Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mouffak Benchohra, Johnny Henderson
exaly   +2 more sources

Impulsive functional Differential Inclusions on Unbounded Domain

2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020
In this work, we present some results of existence of solutions and topological structure of some class of impulsive Cauchy problem of differential inclusions on Unbounded Domain.
Bahya Roummani, Abdelghani Ouahab
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Partial Hyperbolic Functional Differential Inclusions

2012
In this chapter, we shall present existence results for some classes of initial value problems for partial hyperbolic differential inclusions with fractional order involving the Caputo fractional derivative, when the right-hand side is convex as well as nonconvex valued. Some results rely on the nonlinear alternative of Leray–Schauder type.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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Fractional functional differential inclusions with finite delay

Nonlinear Analysis: Theory, Methods & Applications, 2009
The authors present an existence theorem for solutions of delay differential inclusions of fractional order and discuss some related questions.
Henderson, Johnny, Ouahab, Abdelghani
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