Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations

Abstract

Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, that was proposed by V.Kolmanovskii and L.Shaikhet and successfully used already for functional-differential equations, for difference equations with discrete time, for difference equations with continuous time, is used here to investigate the stability of delay evolution equations, in particular, partial differential equations.