文献类型：期刊文献

英文题名：Interval oscillation criteria for second-order forced impulsive differential equations with mixed nonlinearities

作者：Guo, Zhonghai[2,3];Zhou, Xiaoliang[1];Ge, Weigao[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]Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

年份：2011

卷号：381

期号：1

起止页码：187

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000290459800016)、、Scopus(收录号：2-s2.0-79955483216)、WOS

基金：Supported by the NNSF of China (10871213), the NSF of Guangdong Province (10452408801004217) and the Doctor Research Project Foundation (0912175) and NSF (1012139) of Guangdong Ocean University.

语种：英文

外文关键词：Interval oscillation; Impulse; Forced term; Mixed type; Riccati transformation

外文摘要：In this paper, by arithmetic-geometric mean inequality and Riccati transformation, interval oscillation criteria are established for second-order forced impulsive differential equation with mixed nonlinearities of the form {(r(t)Phi(alpha)(x'(t)))' + p(0)(t)Phi(alpha)(x(t)) + Sigma(n)(i=1) pi(t)Phi(beta i)(x(t)) = e(t), t not equal tau k, x(tau(+)(k)) = a(k)x(tau(k)), x'(tau(+)(k)) = b(k)x'(tau k), where t >= t(0), k epsilon N: Phi(*)(u) = vertical bar u vertical bar(*-1) u: {tau(k)} is the impulse moments sequence with 0 <= tau(0) = tau(0) < tau(1) < tau(2) < ... < tau(k) < ... and lim(k ->infinity) tau(k) = infinity; alpha = p/q, p, q are odds, and the exponents satisfy beta(1) > ... > beta(m) > alpha > beta(m+1) > ... > beta(n) > 0, Some known results are generalized and improved. Examples are also given to illustrate the effectiveness and non-emptiness of our results. (C) 2011 Elsevier Inc. All rights reserved.