Nonlinear integral inequalities with delay for discontinuous functions and their applications

Journal of inequalities and applications

Yuzhen Mi¹ 

关键词: integral inequalities;    discontinuous functions;    nonlinear;    impulsive differential equations;   

DOI  :  10.1186/1029-242X-2013-430

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates integral inequalities with delay for discontinuous functions involving two nonlinear terms. We do not require the classes ℘ and ȷ in Gallo and Piccirillo’s paper (Bound. Value Probl. 2009:808124, 2009). Our main results can be applied to generalize Gallo and Piccirillo’s results and Iovane’s results (Nonlinear Anal., Theory Methods Appl. 66:498-508, 2007). Examples to show the bounds of solutions of an impulsive differential equation are also given, which can not be estimated by Gallo and Piccirillo’s results. MSC:26D15, 26D20.

【 授权许可】

CC BY