文献类型：期刊文献

英文题名：Oscillatory behavior of higher order nonlinear neutral forced differential equations with oscillating coefficients

作者：Zhou, Xiaoliang[1,2];Yu, Rong[3]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China;[2]Sichuan Univ, Dept Math, Chengdu 610065, Sichuan, Peoples R China;[3]Shanxi Forestry Vocat Technol Coll, Taiyuan 030009, Shanxi, Peoples R China

年份：2008

卷号：56

期号：6

起止页码：1562

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000258432200011)、、EI(收录号：20082911380507)、Scopus(收录号：2-s2.0-46849108936)、WOS

语种：英文

外文关键词：oscillatory behavior; neutral forced differential equations; oscillating coefficients; bounded solutions; Krasnoselskii's fixed point theorem

外文摘要：In this paper, the higher order nonlinear neutral forced differential equations of the form [x(t = p(t)x(tau(t))]((n)) + Sigma(m)(i=1)q(i)(t)f(i)(x(sigma(i)(t))) = s(t), t >= t(0). where n, m is an element of N, n >= 2 and m >= 1, are studied. A new necessary and sufficient theorem for the oscillation of bounded solutions and a sufficient criterion for the existence of bounded positive solutions of the above equations are obtained for general p(t) and sit). In particular, Our results improve some known results. (c) 2008 Elsevier Ltd. All rights reserved.