文献类型：期刊文献

英文题名：The Kamenev type interval oscillation criteria of mixed nonlinear impulsive differential equations under variable delay effects

作者：Zhou, Xiaoliang[1];Liu, Changdong[2];Chen, Ruyun[2]

机构：[1]Lingnan Normal Univ, Dept Math, Zhanjiang, Peoples R China;[2]Guangdong Ocean Univ, Dept Math, Zhanjiang, Peoples R China

年份：2019

卷号：2019

期号：1

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000456130800005)、、Scopus(收录号：2-s2.0-85060193271)、WOS

基金：This work has been supported by the NNSF of China [Grant No. 11561019], the Science and Technology Planning Projects of Guangdong Province [Grant No. 2017A030303085] and of Zhanjiang City [Grant No. 2016A01001], the Key Subject Program of Lingnan Normal University [Grant No. 1171518004] and the Special Funds for the Cultivation of Guangdong College Students' Scientific and Technological Innovation [Grant No. pdjh0304].

语种：英文

外文关键词：Interval oscillation; Impulsive differential equation; Variable delay; Interval delay function

外文摘要：In this paper, a class of mixed nonlinear impulsive differential equations is studied. When the delay sigma(t) is variable, each given interval is divided into two parts on which the quotients of x(t-sigma(t)) and x(t) are estimated. Then, by introducing binary auxiliary functions and using the Riccati transformation, several Kamenev type interval oscillation criteria are established. The well-known results obtained by Liu and Xu (Appl. Math. Comput. 215:283-291, 2009) for sigma(t)=0 and by Guo et al. (Abstr. Appl. Anal. 2012:351709, 2012) for sigma(t)=sigma 0 (sigma 00) are developed. Moreover, an example illustrating the effectiveness and non-emptiness of our results is also given.