Construction of Lyapunov functionals for stochastic difference equations with continuous time

作者: Leonid E. Shaikhet

DOI: 10.1016/J.MATCOM.2004.03.006

关键词:

摘要: One general method of Lyapunov functionals construction which was used earlier both for stochastic differential equations with aftereffect and difference discrete time here is applied continuous time.

参考文章(10)
V. Kolmanovskii, L. Shaikhet, Construction of lyapunov functionals for stochastic hereditary systems: a survey of some recent results Mathematical and Computer Modelling. ,vol. 36, pp. 691- 716 ,(2002) , 10.1016/S0895-7177(02)00168-1
V. Kolmanovskii, L. Shaikhet, Some peculiarities of the general method of Lyapunov functionals construction Applied Mathematics Letters. ,vol. 15, pp. 355- 360 ,(2002) , 10.1016/S0893-9659(01)00143-4
A. Myshkis, V. Kolmanovskii, Applied Theory of Functional Differential Equations ,(1992)
V. Kolmanovskii, L. Shaikhet, About one application of the general method of Lyapunov functionals construction International Journal of Robust and Nonlinear Control. ,vol. 13, pp. 805- 818 ,(2003) , 10.1002/RNC.846
V. R. Nosov, Vladimir Borisovich Kolmanovskiĭ, Stability of Functional Differential Equations ,(1986)
Hajnalka Péics, Representation of solutions of difference equations with continuous time. The 6'th Colloquium on the Qualitative Theory of Differential Equations. ,vol. 2000, pp. 1- 8 ,(1999) , 10.14232/EJQTDE.1999.5.21