Variational Stability For A Class Of Impulsive Retarded Differential Equations

This paper, using the Henstock-Kurzweil integral, Lyapunov function, thebounded variation solution theory and the theory of impulsive diferential sys-tem, discusses the variational stability of bounded variation solutions for a class ofimpulsive retarded diferential systems, and establishes the existence and uniquenesstheorems of bounded variation solutions. And futher the Lyapunov type theoremsfor variational stability and asymptotically variation stability of bounded variationsolutions are discussed. These results are the essential generalization for the cor-responding result of the bouneded variation solutions and variational stability ofdiscontinuous systems in the paper[1-2].