文献类型：期刊文献

英文题名：Interval Oscillation Criteria of Second Order Mixed Nonlinear Impulsive Differential Equations with Delay

作者：Guo, Zhonghai[2];Zhou, Xiaoliang[1];Wang, Wu-Sheng[3]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China;[2]Xinzhou Teachers Univ, Dept Math, Xinzhou 034000, Shanxi, Peoples R China;[3]Hechi Univ, Dept Math, Guangxi 546300, Yizhou, Peoples R China

年份：2012

卷号：2012

外文期刊名：ABSTRACT AND APPLIED ANALYSIS

收录：SCI-EXPANDED(收录号：WOS:000305611000001)、、Scopus(收录号：2-s2.0-84863695351)、WOS

基金：The authors thank the anonymous reviewers for their detailed and insightful comments and suggestions for improvement of the paper. They were supported by the NNSF of China (11161018), the NSF of Guangdong Province (10452408801004217).

语种：英文

外文摘要：We study the following second order mixed nonlinear impulsive differential equations with delay (r(t)Phi(alpha)(x')(t)))' + p(0)(t)Phi(alpha)(x)(t)) + Sigma(n)(i=1) p(i)(t)Phi(beta i)(x(t-sigma)) = e(t), t >= t(0), t not equal tau(k), x(tau(+)(k)) = a(k)x(tau(k)), x'(tau(+)(k)) = b(k)x'(tau(k)), k = 1, 2, ... , where Phi(*)(u) = vertical bar u vertical bar*(-1)u, sigma is a nonnegative constant, {tau(k)} denotes the impulsive moments sequence, and tau(k+1) - tau(k) > sigma. Some sufficient conditions for the interval oscillation criteria of the equations are obtained. The results obtained generalize and improve earlier ones. Two examples are considered to illustrate the main results.