Results 241 to 250 of about 67,072 (268)

Impulsive Partial Hyperbolic Functional Differential Inclusions

2012
In this chapter, we shall present existence results for some classes of initial value problems for impulsive partial hyperbolic differential inclusions with fractional order.
Saïd Abbas, Mouffak Benchohra, Gaston M. N’Guérékata   +2 more
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Viability for functional differential inclusions without convexity

Annals of the University of Craiova, Mathematics and Computer Science Series, 2022
The aim of this paper is to prove the existence result of viable solutions for the differential inclusion x ̇(t)ϵF(t,T(t)x) where F is a set-valued map with closed graph. We consider the case when the constraint is moving.
openaire   +1 more source

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, Park, Jeongyo, Lee, Haeng Joo   +2 more
exaly   +3 more sources

Viability Result for Second-Order Functional Differential Inclusions

Journal of Dynamical and Control Systems, 2016
In this paper, the existence of viable solutions to the following second order functional differential inclusion \[ \begin{cases} \ddot x(t)&\in F(t,T(t)x,\dot x(t))\quad \text{a.e in } [0,\tau],\\ x(s)&=\phi(s), \quad \forall s\in [-a,0],\\ x(t)&\in C(t), \quad \forall t\in [0,\tau] \end{cases} \] is studied, where \(F\) is a closed multifunction ...
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The Problem of Survivability on Functional-Differential Inclusions

Cybernetics and Systems Analysis, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Existence Result for Second Order Functional Differential Inclusions

Results in Mathematics, 2000
The authors find sufficient conditions to assure the existence of at least one mild solution to the initial value problem for the second-order differential inclusion \[ y''-Ay\in F(t,y_t),\quad t\in J=[0,b];\quad y_0=\phi,\;y'(0)=\eta, \] where \(F:J\times C(J_0,E)\to 2^{E}\) is a bounded, closed, convex multivalued map, \(\phi\in C(J_0,E)\), \(J_0=[-r,
Benchohra, M., Ntouyas, S. K.
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Impulsive Functional Differential Inclusions with Unbounded Delay

2015
In this chapter, we shall establish sufficient conditions for the existence of mild, extremal mild, integral, and extremal integral solutions for some impulsive semi-linear neutral functional differential inclusions in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

Functional Differential Equations and Inclusions with Delay

2015
In this chapter, we shall prove the existence of solutions of some classes of functional differential equations and inclusions. Our investigations will be situated in the Banach space of real functions which are defined, continuous, and bounded on the real axis \(\mathbb{R}.\) We will use some fixed point theorems combined with the semigroup theory.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

Functional Differential Inclusions with Multi-valued Jumps

2015
In this chapter, we are concerned by the existence of mild solutions of functional differential inclusions with delay and multi-valued jumps in a Banach space.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

The Solution Set to BVP for Some Functional Differential Inclusions

Set-Valued Analysis, 1998
The authors show that the set of solutions to the multivalued boundary value problem \(x'(t) \in A(t)x(\alpha (t))+ \lambda F(t, x(\beta (t))),\) \(Lx=\theta\), forms a nonempty infinite-dimensional AR-space for sufficiently small \(\lambda\).
Augustynowicz, A., Dzedzej, Z., Gelman, B. D.   +2 more
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