PRACTICAL STABILITY IN TERMS OF TWO MEASURES FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH 'SUPREMUM'

摘要

In the paper several types of practical stability for impulsive differential equations with "supremum" is introduced. The definitions are based on the application of two different measures for the initial condition and for the solution. This allow us to increase the possibility for applications of the stability. Some sufficient conditions for various types of practical stability in terms of two measures of nonlinear impulsive differential equations with "supremum" are obtained. The proofs are based on the application of piecewise continuous Lyapunov functions and Razumikhin method. An example illustrates the practical application of the proved results. practical stability; two measures; piecewise continuous Lyapunov functions; impulses; differential equations with 'supremum.'