Application of lyapunov's direct method to the investigation of the stability of the solutions of impulsive differential-difference equations with variable impulsive pertubations

Abstract

The present paper deals with the investigation of the stability of the zero solution of impulsive differential-difference equations with variable impulsive perturbations. By means of piecewise continuous functions, which are generalization of the classical Lyapunov's functions, sufficient conditions for stability, uniform stability and asymptotic stability of the zero solution of such equations are found.

Keywords:

• Lyapunov's direct method
• Stability of the solutions
• Impulsive differential-difference equations
• Variable imulsive perturbations

Additional information

Notes on contributors

Bainov Drumi

Stamova Ivanka