Results 201 to 210 of about 16,029 (238)
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Stabilization for Stochastic Nonlinear Differential Inclusion Systems with Time Delay
Circuits, Systems, and Signal Processing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinjin Liu, Liu Jinjin
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Mariusz Michta
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Stochastic differential inclusions of Langevin type on Riemannian manifolds
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2001A set-valued analogue of the classical Langevin equation on a Riemannian manifold is introduced and several existence theorems of inclusions of Langevin type are proved. Let \(v:I\to T_{m_0}M\) be a continuous curve, \({ \mathcal S}v\) the unique \(C^1\)-curve \(\gamma: I\to M\) such that \(\gamma(0) =m_0\) and \(\dot\gamma (t)\) is parallel to the ...
Gliklikh, Yuri E., Obukhovskij, V.
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On the problem of stochastic differential inclusions
Journal of Soviet Mathematics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the stability of solutions of stochastic differential inclusions
Ukrainian Mathematical Journal, 1995The author obtains sufficient conditions for the stability in probability of the trivial solution to the stochastic differential inclusion \[ du+A(t,u(t))dt+ C(u(t))dt+B(t,u(t))dw(t)\ni 0, \] where \(w(t)\) is a Wiener process in \(R^{d}\), \(A(t,u)\in R^{d}\), \(B(t,u)\in {\mathcal L}(R^{d})\), \({\mathcal L}(R^{d})\) is a space of linear operators in
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Stochastic Approximations with Constant Step Size and Differential Inclusions
SIAM Journal on Control and Optimization, 2013We consider stochastic approximation processes with constant step size whose associated deterministic system is an upper semicontinuous differential inclusion. We prove that over any finite time span, the sample paths of the stochastic process are closely approximated by a solution of the differential inclusion with high probability.
Gregory Roth, William H. Sandholm
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Stochastic Differential Inclusions
2013A stochastic differential inclusion is formulated in terms of stochastic differentials of continuous semimartingales. In particular, concepts of strong and weak solutions of the inclusion \[ dx_t\in F(t,x_t)dt+G(t,x_t)dw_t \] are introduced. Here \(F,G:[0,1]\times R^n\to \text{Comp} (R^n)\) are Borel measurable set-valued mappings.
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Existence results on impulsive stochastic semilinear differential inclusions
International Journal of Dynamical Systems and Differential Equations, 2021Summary: In this paper, we present some existence results of mild solutions and study the topological structure of solution sets for the following first-order impulsive stochastic semilinear differential inclusions driven by Poisson jumps with periodic boundary conditions. We consider the cases in which the right hand side can be either convex.
Meghnafi, Mustapha +2 more
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Lipschitzian quantum stochastic differential inclusions
International Journal of Theoretical Physics, 1992The author studies quantum stochastic differential inclusions. An existence theorem with a very long proof for the solution of Lipschitzian quantum stochastic differential inclusions is the main result. Relationships between these solutions and those of the convexifications of the inclusions are also studied.
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Approximate controllability for impulsive stochastic delayed differential inclusions
Rendiconti del Circolo Matematico di Palermo Series 2, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shobha Yadav, Surendra Kumar
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