文献类型：期刊文献

英文题名：Interval oscillation criteria for forced mixed nonlinear impulsive differential equations with variable delay

作者：Zhou, Xiaoliang[1];Wang, Wu-Sheng[2];Chen, Ruyun[3]

机构：[1]Lingnan Normal Univ, Dept Math, Zhanjiang 524048, Guangdong, Peoples R China;[2]Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China;[3]Guangdong Ocean Univ, Sch Math & Comp, Zhanjiang 524088, Guangdong, Peoples R China

年份：2018

卷号：75

起止页码：89

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:000412964100014)、、EI(收录号：20173104008469)、Scopus(收录号：2-s2.0-85026399709)、WOS

基金：This work has been supported by the NNSF of China [Grant No. 11561019]; the Innovation and Developing School Project of Guangdong Province [Grant No. 2014KZDXM065]; the NSF of Guangdong Province [Grant No. 2015A030313615]; and the Training Program Project for OYTCU in Guangdong Province [Grant No. Yq2014116].

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, the interval qualitative properties of a class of mixed nonlinear impulsive differential equations are studied. Under the hypothesis of delay sigma(t) being variable, the ratio of functions x(t - sigma(t)) and x(t) on each considered interval is estimated, then Riccati transformation and omega functions are applied to obtain interval oscillation criteria. The results gained by Ozbekler and Zafer (2011) for delay sigma(t) = 0 and by Guo et al. (2012) for delay sigma(t) being nonnegative constant are developed. (C) 2017 Elsevier Ltd. All rights reserved.