Stability Analysis for a Class of Stochastic Differential Equations with Impulses
Mathematics, 2023 This paper is concerned with the problem of asymptotic stability for a class of stochastic differential equations with impulsive effects. A sufficient criterion on asymptotic stability is derived for such impulsive stochastic differential equations via ...
Mingli Xia +3 more
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Analytical Solutions for Multi-Time Scale Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion and Their Applications [PDF]
Entropy, 2018 In this paper, we investigate analytical solutions of multi-time scale fractional stochastic differential equations driven by fractional Brownian motions.
Xiao-Li Ding, Juan J. Nieto
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Bisimulation Relations Between Automata, Stochastic Differential Equations and Petri Nets [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 Two formal stochastic models are said to be bisimilar if their solutions as a stochastic process are probabilistically equivalent. Bisimilarity between two stochastic model formalisms means that the strengths of one stochastic model formalism can be used
Mariken H.C. Everdij, Henk A.P. Blom
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Image Restoration with Mean-Reverting Stochastic Differential Equations [PDF]
International Conference on Machine Learning, 2023 This paper presents a stochastic differential equation (SDE) approach for general-purpose image restoration. The key construction consists in a mean-reverting SDE that transforms a high-quality image into a degraded counterpart as a mean state with fixed
Ziwei Luo +4 more
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Conservative Continuous-Stage Stochastic Runge–Kutta Methods for Stochastic Differential Equations
Fractal and Fractional, 2023 In this paper, we develop a new class of conservative continuous-stage stochastic Runge–Kutta methods for solving stochastic differential equations with a conserved quantity. The order conditions of the continuous-stage stochastic Runge–Kutta methods are
Xiuyan Li +3 more
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Equations Related to Stochastic Processes: Semigroup Approach and Fourier Transform
Современная математика: Фундаментальные направления, 2021 The work is devoted to integro-differential equations related to stochastic processes. We study the relationship between differential equations with random perturbations - stochastic differential equations (SDEs) - and deterministic equations for the ...
I. V. Melnikova +2 more
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Stochastic Runge–Kutta methods for multi-dimensional Itô stochastic differential algebraic equations
Results in Applied Mathematics, 2021 In this paper, we discuss the numerical solutions to index 1 stochastic differential algebraic equations. We introduce a new class of weak second-order stochastic Runge–Kutta methods for finding the numerical approximate solutions to multi-dimensional ...
Priya Nair, Anandaraman Rathinasamy
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Distribution dependent stochastic differential equations [PDF]
Frontiers of Mathematics in China, 2020 Due to their intrinsic link with nonlinear Fokker-Planck equations and many other applications, distribution dependent stochastic differential equations (DDSDEs) have been intensively investigated.
Xing Huang, Panpan Ren, Feng-Yu Wang
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Optimal harvesting for a stochastic competition system with stage structure and distributed delay
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay.
Yue Zhang, Jing Zhang
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Stochastic physics-informed neural ordinary differential equations [PDF]
Journal of Computational Physics, 2021 Stochastic differential equations (SDEs) are used to describe a wide variety of complex stochastic dynamical systems. Learning the hidden physics within SDEs is crucial for unraveling fundamental understanding of these systems’ stochastic and nonlinear ...
Jared O’Leary, J. Paulson, A. Mesbah
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