Search Results - "Yuan, Chenggui"
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1
The Galerkin Analysis for the Random Periodic Solution of Semilinear Stochastic Evolution Equations
Published in Journal of theoretical probability (2024)“…In this paper, we study the numerical method for approximating the random periodic solution of semilinear stochastic evolution equations. The main challenge…”
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2
Competitive Lotka–Volterra population dynamics with jumps
Published in Nonlinear analysis (01-12-2011)“…This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic…”
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3
Comparison theorem for distribution-dependent neutral SFDEs
Published in Journal of evolution equations (01-03-2021)“…In this paper, the existence and uniqueness of strong solutions to distribution-dependent neutral SFDEs are proved. We give the conditions such that the order…”
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4
Central Limit Theorem and Moderate Deviation Principle for McKean-Vlasov SDEs
Published in Acta applicandae mathematicae (01-10-2021)“…Under a Lipschitz condition on distribution dependent coefficients, the central limit theorem and the moderate deviation principle are obtained for solutions…”
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5
Existence and Concentration of Ground State Solutions for a Schrödinger–Poisson-Type System with Steep Potential Well
Published in Qualitative theory of dynamical systems (01-04-2024)“…In this paper, we study the following nonlocal problem in R 3 - Δ u + ( 1 + λ V ( x ) ) u - μ ϕ u = f ( x , u ) , in R 3 , - Δ ϕ = u 2 , in R 3 , where λ > 0…”
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6
Schrödinger–Bopp–Podolsky System with Steep Potential Well
Published in Qualitative theory of dynamical systems (01-12-2023)“…In this paper, we study the following Schrödinger–Bopp–Podolsky system: - Δ u + λ V ( x ) u + q 2 φ u = f ( u ) - Δ φ + a 2 Δ 2 φ = 4 π u 2 , where u , φ : R 3…”
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7
Stabilization and destabilization of hybrid systems of stochastic differential equations
Published in Automatica (Oxford) (01-02-2007)“…This paper aims to determine whether or not a stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are…”
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8
Harnack inequalities for functional SDEs with multiplicative noise and applications
Published in Stochastic processes and their applications (01-11-2011)“…By constructing a new coupling, the log-Harnack inequality is established for the functional solution of a delay stochastic differential equation with…”
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9
Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching
Published in Open mathematics (Warsaw, Poland) (09-07-2019)“…This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By…”
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10
Convergence rate of EM scheme for SDDEs
Published in Proceedings of the American Mathematical Society (01-09-2013)“…delay equations, where the corresponding coefficients may be with respect to the delay variables. In particular, we reveal that the convergence rate of the…”
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11
Robust stability and controllability of stochastic differential delay equations with Markovian switching
Published in Automatica (Oxford) (01-03-2004)“…In this paper, we investigate the almost surely asymptotic stability for the nonlinear stochastic differential delay equations with Markovian switching. Some…”
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12
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
Published in Stochastic processes and their applications (01-08-2008)“…The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian…”
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13
Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching
Published in Open mathematics (Warsaw, Poland) (23-07-2021)“…The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching. Some…”
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14
Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients
Published in Bulletin of mathematical sciences (01-12-2019)“…This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz…”
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15
Multiple solutions and ground state solutions for a class of generalized Kadomtsev-Petviashvili equation
Published in Open mathematics (Warsaw, Poland) (14-05-2021)“…In this paper, we study the following generalized Kadomtsev-Petviashvili equation where , , , , and . We get the existence of infinitely many nontrivial…”
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16
A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations
Published in Mathematics (Basel) (01-03-2022)“…This paper examines the numerical solutions of the neutral stochastic functional differential equation. This study establishes the discrete stochastic…”
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17
Humidity modifies species‐specific and age‐dependent heat stress effects in an insect host‐parasitoid interaction
Published in Ecology and evolution (01-07-2024)“…Climate change is projected to increase the frequency and intensity of extreme heat events, and may increase humidity levels, leading to coupled thermal and…”
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18
Numerical solutions of neutral stochastic functional differential equations with Markovian switching
Published in Advances in difference equations (28-02-2019)“…Until now, the theories about the convergence analysis, the almost surely and mean square exponential stability of the numerical solution for neutral…”
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19
Stabilization of a class of stochastic differential equations with Markovian switching
Published in Systems & control letters (01-09-2005)“…Stability of stochastic differential equations with Markovian switching has been studied quite extensively for a number of years, for example, by Basak et al…”
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20
Convergence rate of numerical solutions to SFDEs with jumps
Published in Journal of computational and applied mathematics (15-08-2011)“…In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show…”
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