Impulsive Differential Inequalities and Impulsive Integral Inequalities with Piecewise Constant Arguments
LI Xiao-di (School of Mathematics Sciences, Xiamen University, Xiamen 250014)
In this paper, a class of impulsive differential inequalities is discussed. An effcient estimation for solutions of this kind of inequalities is derived by using induction and iteration. Moreover, some effcient estimations for solutions of impulsive integral inequalities are also obtained by proper transformations. Finally, an application for oscillation of impulsive differential systems is given to illustrate the inequalities.
【CateGory Index】： O175