Extremal norms for positive linear inclusions [PDF]
For finite-dimensional linear semigroups which leave a proper cone invariant it is shown that irreducibility with respect to the cone implies the existence of an extremal norm. In case the cone is simplicial a similar statement applies to absolute norms.
Mason, Oliver, Wirth, Fabian
core +3 more sources
Impulsive evolution inclusions with infinite delay and multivalued jumps [PDF]
In this paper we prove the existence of a mild solution for a class of impulsive semilinear evolution differential inclusions with infinite delay and multivalued jumps in a Banach space.
Mouffak Benchohra, Mohamed Ziane
doaj
Impulsive fractional differential inclusions with state-dependent delay [PDF]
In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
doaj
Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative [PDF]
Mathematics Subject Classification: 26A33, 34A37.In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional ...
Ait Dads, E., Benchohra, M., Hamani, S.
core
Moving constraints as stabilizing controls in classical mechanics
The paper analyzes a Lagrangian system which is controlled by directly assigning some of the coordinates as functions of time, by means of frictionless constraints.
A. Bressan +28 more
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Impulse-Based Hybrid Motion Control [PDF]
The impulse-based discrete feedback control has been proposed in previous work for the second-order motion systems with damping uncertainties. The sate-dependent discrete impulse action takes place at zero crossing of one of both states, either relative ...
Ruderman, Michael
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Oscillation and nonoscillation for Caputo–Hadamard impulsive fractional differential inclusions
In this paper, the concept of upper and lower solutions method combined with the fixed point theorem is used to investigate the existence of oscillatory and nonoscillatory solutions for a class of initial value problem for Caputo–Hadamard impulsive ...
Mouffak Benchohra +2 more
doaj +1 more source
On the impulsive Dirichlet problem for second-order differential inclusions
Solutions in a given set of an impulsive Dirichlet boundary value problem are investigated for second-order differential inclusions. The method used for obtaining the existence and the localization of a solution is based on the combination of a fixed ...
Martina Pavlačkovà, Valentina Taddei
doaj +1 more source
$\mathcal{L}^1$ limit solutions for control systems
For a control Cauchy problem $$\dot x= {f}(t,x,u,v) +\sum_{\alpha=1}^m g_\alpha(x) \dot u_\alpha,\quad x(a)=\bar x, $$ on an interval $[a,b]$, we propose a notion of limit solution $x,$ verifying the following properties: i) $x$ is defined for $\mathcal ...
Aronna +41 more
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On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space [PDF]
We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term.
Benedetti, Irene +2 more
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