文献类型：期刊文献

英文题名：Interval Oscillation Criteria for Super-Half-Linear 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, Yizhou 546300, Guangxi, Peoples R China

年份：2012

卷号：2012

外文期刊名：JOURNAL OF APPLIED MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000308162300001)、、Scopus(收录号：2-s2.0-84866103505)、WOS

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

语种：英文

外文摘要：We study the following second-order super-half-linear impulsive differential equations with delay [r(t)phi(gamma) (x'(t))]' + p(t)phi(gamma) (x(t - sigma)) + q(t)f(x(t - sigma)) = e(t), t not equal tau(k), x(t(+)) = a(k)x(t), x'(t(+)) = b(k)x'(t), t = tau(k), where t >= t(0) is an element of R, phi(*) (u) = vertical bar u vertical bar*(-1)u, sigma is a nonnegative constant, {tau(k)} denotes the impulsive moments sequence with tau(1) < tau(2) < ... < tau(k) < ..., lim(k -> 8) tau(k) = infinity, and tau(k+1) - tau(k) > sigma. By some classical inequalities, Riccati transformation, and two classes of functions, we give several interval oscillation criteria which generalize and improve some known results. Moreover, we also give two examples to illustrate the effectiveness and nonemptiness of our results.