Results 221 to 230 of about 14,387 (264)
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Existence results on impulsive stochastic semilinear differential inclusions

International Journal of Dynamical Systems and Differential Equations, 2021
Summary: 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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Approximate controllability for impulsive stochastic delayed differential inclusions

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
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Shobha Yadav, Surendra Kumar
openaire   +1 more source

Stochastic fractional differential inclusion driven by fractional Brownian motion

Random Operators and Stochastic Equations, 2023
Abstract In this paper, we prove the existence result for a mild solution of a fractional stochastic evolution inclusion involving the Caputo derivative in the Hilbert space driven by a fractional Brownian motion with the Hurst parameter
Moulay Hachemi, Rahma Yasmina   +1 more
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Lipschitzian quantum stochastic differential inclusions

International Journal of Theoretical Physics, 1992
The 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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Stochastic differential inclusions of Langevin type on Riemannian manifolds

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2001
A 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.
openaire   +1 more source

Stochastic Differential Inclusions

2013
A 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.
openaire   +3 more sources

Boundary controllability of non-linear stochastic differential inclusions

Applicable Analysis, 2008
The article is concerned with the boundary controllability of non-linear stochastic differential inclusions in a Banach space. Sufficient conditions for the boundary controllability are obtained by using a fixed point theorem for condensing maps due to Leray–Schauder non-linear alternative.
Yong Li, Bing Liu
openaire   +1 more source

Nonlinear stochastic differential inclusions on balance space

Stochastic Analysis and Applications, 1994
In this paper we present some new results on the existence and regularity of mild solutions of a class of nonlinear stochastic differential inclusions on Hilbert space. The drift is multivalued and the diffusion is single valued but both nonlinear admitting differential operators unlike in [3].
openaire   +1 more source

Viable solutions of lower semicontinuous quantum stochastic differential inclusions

Analysis and Mathematical Physics, 2020
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Titilayo O. Akinwumi, Ezekiel O. Ayoola
openaire   +2 more sources

On the problem of stochastic differential inclusions

Journal of Soviet Mathematics, 1991
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