Abstract
An initial value problem for an impulsive system of differential-difference equations is considered. By means of piecewise continuous auxiliary functions which are modifications of classical Lyapunov’s functions, some sufficient conditions for global stability of the zero solution of such problems are presented. The discontinuity of these auxiliary functions corresponds to the fact that solutions of the systems under consideration are piecewise continuous functions.
Funding Statement
The present investigation was supported by the Bulgarian Ministry of Education, Science and Technologies under the Grant MM–422.
Acknowledgements
The authors are extremely grateful to the referee for the helpful comments as well as for the competent suggestions in final preparing of the manuscript.
Citation
Drumi Bainov. Georgi Kulev. Ivanka Stamova. "GLOBAL STABILITY OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL-DIFFERENCE EQUATIONS." SUT J. Math. 31 (1) 55 - 71, June 1995. https://doi.org/10.55937/sut/1262208377
Information
