文献类型：期刊文献

英文题名：Interval oscillation criteria for nonlinear differential equations with impulses and variable delay

作者：Zhou, Xiaoliang[1];Liu, Changdong[2];Wang, Wu-Sheng[3]

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

年份：2018

卷号：85

起止页码：150

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:000439399100022)、、EI(收录号：20182605360375)、Scopus(收录号：2-s2.0-85048778553)、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; Impulse; Variable delay; Interval delay function

外文摘要：In this paper, the interval qualitative properties of a class of second order nonlinear differential equations are studied. For the hypothesis of delay tau(t) being variable, the definitions of "strong zero point" and "weak zero point" are introduced and their effects on the estimation of function x(t - tau(t))/x(t) on each considered interval are investigated, then Riccati transformation and omega functions are applied to obtain interval oscillation criteria. The known results gained by Huang and Feng (2010) for tau(t) being constant and by Zhou and Wang (2016) for tau(t) being variable are developed. (C) 2018 Elsevier Ltd. All rights reserved.