About Some Features of General Method of Lyapunov Functionals Construction
نویسندگان
چکیده
Many stability results in the theory of stochastic hereditary systems and their applications were obtained by construction of appropriate Lyapunov functionals. One general method of Lyapunov functionals construction was proposed and developed by the authors during last decade for stability investigation of deterministic and stochastic functional-differential and difference equations. In this paper a survey of some typical examples of this method application and at the same time some new features of this method for stochastic functional differential equations of neutral type are shown, which allow to use the method more effectively. The considered method is illustrated by a lot of figures of stability regions obtained by numerical calculations.
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