Asymptotic properties of neutral stochastic differential delay equations

This paper discusses asymptotic properties, especially asymptotic stability of neutral stochastic differential delay equations. New techniques are developed to cope with the neutral delay case, and the results of this paper are more general than the author's earlier work within the delay equations

[1]  Yi Shen,et al.  Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations , 1999 .

[2]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[3]  X. Mao.  Exponential stability in mean square of neutral stochastic differential functional equations , 1995 .

[4]  X. Mao,et al.  Exponential Stability of Stochastic Di erential Equations , 1994 .

[5]  H. Kushner.  Stability of Stochastic Differential Equations with Respect to Semi-martingales (X. Mao) , 1993, SIAM Rev..

[6]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[7]  V. Kolmanovskii,et al.  Applied Theory of Functional Differential Equations , 1992 .

[8]  L. Arnold.  Stochastic Differential Equations: Theory and Applications , 1992 .

[9]  X. Mao,et al.  Stability of Stochastic Differential Equations With Respect to Semimartingales , 1991 .

[10]  V. Kolmanovskii,et al.  Stability of Functional Differential Equations , 1986 .

[11]  K. Elworthy.  Stochastic Differential Equations on Manifolds , 1982 .

[12]  R. Khasminskii.  Stochastic Stability of Differential Equations , 1980 .

[13]  Xuerong Mao,et al.  Stochastic differential equations and their applications , 1997 .

[14]  X. Mao.  RAZUMIKHIN-TYPE THEOREMS ON EXPONENTIAL STABILITY OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS∗ , 1997 .

[15]  S. Mohammed.  Stochastic functional differential equations , 1984 .

[16]  A. Friedman.  17 – Stochastic Differential Games , 1976 .

[17]  Jack K. Hale,et al.  A class of functional equations of neutral type , 1967 .