Stability of numerical method for semi-linear stochastic pantograph differential equations
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[1] Liangjian Hu,et al. Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients , 2015, Appl. Math. Comput..
[2] Iftikhar Ahmad,et al. Stochastic approach for the solution of multi-pantograph differential equation arising in cell-growth model , 2015, Appl. Math. Comput..
[3] Minghui Song,et al. Mean-square stability of analytic solution and Euler-Maruyama method for impulsive stochastic differential equations , 2015, Appl. Math. Comput..
[4] Shaobo Zhou,et al. Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations , 2014 .
[5] K. Burrage,et al. A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems , 2014, BIT Numerical Mathematics.
[6] Chengjian Zhang,et al. Mean-Square Stability of Milstein Methods for Stochastic Pantograph Equations , 2013 .
[7] Xiaohua Ding,et al. PERSISTENCE AND EXTINCTION FOR A STOCHASTIC LOGISTIC MODEL WITH INFINITE DELAY , 2013 .
[8] A. Kurnaz,et al. A new Fibonacci type collocation procedure for boundary value problems , 2013 .
[9] Zhanhua Yu. Razumikhin-type theorem and mean square asymptotic behavior of the backward Euler method for neutral stochastic pantograph equations , 2013 .
[10] Chiping Zhang,et al. The Convergence and MS Stability of Exponential Euler Method for Semilinear Stochastic Differential Equations , 2012 .
[11] Yu Xiao,et al. Convergence and stability of numerical methods with variable step size for stochastic pantograph differential equations , 2011, Int. J. Comput. Math..
[12] Zhanhua Yu,et al. Almost Surely Asymptotic Stability of Exact and Numerical Solutions for Neutral Stochastic Pantograph Equations , 2011 .
[13] M. Kunze,et al. Approximating the coefficients in semilinear stochastic partial differential equations , 2010, 1003.1876.
[14] Xuerong Mao,et al. Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations , 2007 .
[15] Mingzhu Liu,et al. Existence and uniqueness of the solutions and convergence of semi-implicit Euler methods for stochastic pantograph equations , 2007 .
[16] Evelyn Buckwar,et al. Exponential stability in p -th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations , 2005 .
[17] M. Hochbruck,et al. Exponential Runge--Kutta methods for parabolic problems , 2005 .
[18] Marlis Hochbruck,et al. Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems , 2005, SIAM J. Numer. Anal..
[19] Wanrong Cao,et al. MS-stability of the Euler-Maruyama method for stochastic differential delay equations , 2004, Appl. Math. Comput..
[20] Mingzhu Liu,et al. Convergence and stability of the semi-implicit Euler method for a linear stochastic differential delay equation , 2004 .
[21] Marlis Hochbruck,et al. Exponential Integrators for Large Systems of Differential Equations , 1998, SIAM J. Sci. Comput..
[22] X. Mao,et al. Stochastic Differential Equations and Applications , 1998 .
[23] J. Verwer,et al. Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations , 1984 .
[24] John Ockendon,et al. The dynamics of a current collection system for an electric locomotive , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[25] Liu Ming-zhu,et al. The Asymptotically Mean Square Stability of the Linear Stochastic Pantograph Equation , 2007 .
[26] S. Mohammed. The Lyapunov spectrum and stable manifolds for stochastic linear delay equations , 1990 .
[27] Evelyn Buckwar,et al. NUMERICAL ANALYSIS OF EXPLICIT ONE-STEP METHODS FOR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS , 1975 .