Title :
A new class of impulsive integral inequalities and its application
Author :
Wang, Wu-Sheng ; Li, Zizun
Author_Institution :
Dept. of Math., Hechi Univ., Yizhou, China
Abstract :
In this paper, we establish a new class of integral inequalities for discontinuous functions, the right hand of the inequalities also contain nonlinear compound functions of the unknown function. We give the estimation of upper bound of the unknown function by analysis technique and mathematics induction method. Finally, we show the usefulness of our results in investigating the estimation of solutions of impulsive differential system.
Keywords :
differential equations; integral equations; nonlinear functions; discontinuous functions; impulsive differential system; impulsive integral inequalities; mathematics induction method; nonlinear compound functions; upper bound estimation; Delay; Differential equations; Education; Estimation; Integral equations; Stability analysis; Discontinuous function; Impulsive differential system; Integral inequality;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002439
