Results 71 to 80 of about 199,250 (207)

Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations

open access: yesJournal of Inequalities and Applications, 2009
We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution ...
Fu Xianlong
doaj  

Stochastic control with state constraints via the Fokker–Planck equation. Application to renewable energy plants with batteries

open access: yesComptes Rendus. Mécanique
Although renewable energies are beneficial to reduce carbon emissions, its intermittent characteristics may result in power-supply issues in distribution grid. Battery energy storage system is generally regarded as an effective tool to deal with them. On
Bermúdez, Alfredo, Padín, Iago
doaj   +1 more source

Feynman-Kac theorem in Hilbert spaces

open access: yesElectronic Journal of Differential Equations, 2014
In this article we study the relationship between solutions to Cauchy problems for the abstract stochastic differential equation $dX(t)=AX(t)dt + BdW(t)$ and solutions to Cauchy problems (backward and forward) for the infinite dimensional ...
Irina V. Melnikova   +1 more
doaj  

Reflected backward stochastic partial differential equations driven by Teugels martingales

open access: yesBoundary Value Problems
In this paper, we study a class of multi-dimensional reflected backward stochastic partial differential equations (RBSPDEs) driven by the Teugels martingales related to a Lévy process.
Hongchao Qian
doaj   +1 more source

Precision in disease dynamics: Finite difference solutions for stochastic epidemics with treatment cure and partial immunity

open access: yesPartial Differential Equations in Applied Mathematics
The complex and ever-changing characteristics of epidemic modelling, particularly when considering random elements, provide a substantial obstacle in creating precise and practical numerical methods for solving differential equations.
Muhammad Shoaib Arif   +2 more
doaj   +1 more source

Galerkin Spectral Method of Stochastic Partial Differential Equations Driven by Multivariate Poisson Measure

open access: yesJournal of Mathematics
A considerable body of prior research has been dedicated to devising efficient and high-order numerical methods for solving stochastic partial differential equations (SPDEs) driven by discrete or continuous random variables. The majority of these efforts
Hongling Xie
doaj   +1 more source

Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations

open access: yesElectronic Journal of Differential Equations, 2009
In this paper we obtain the existence of quadratic-mean almost periodic solutions to some classes of partial hyperbolic stochastic differential equations.
Paul H. Bezandry, Toka Diagana
doaj  

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