吉林大学学报（理学版）2017，Vol.55Issue(5)：1051-1054,4.DOI:10.13413/j.cnki.jdxblxb.2017.05.01
一类拟线性时滞双曲型分布参数系统的(全)振动性
(Full) Oscillation of a Class of Quasilinear Delay Hyperbolic Distributed Parameter Systems
摘要
Abstract
By using a new technique of treating quasilinear diffusion term and the method of differential inequalities,we discussed the (full) oscillation problems for a class of delay hyperbolic distributed parameter systems with quasilinear diffusion term under homogeneous Neumann boundary value condition.Firstly,the oscillation problems of the systems were transformed into the problems of two order delay differential inequality without eventually position solution,and then some explicit sufficient conditions for the (full) oscillation of each solution of such systems were established by means of some results of the functional differential equations.The obtained results reflected the role of the delay in determining the (full) oscillation of system.关键词
(全)振动性/双曲型分布参数系统/最终正解/时滞/拟线性扩散项Key words
(full) oscillation/hyperbolic distributed parameter system/eventually positive solution/delay/quasilinear diffusion term分类
数理科学引用本文复制引用
罗李平,罗振国,侯娟..一类拟线性时滞双曲型分布参数系统的(全)振动性[J].吉林大学学报（理学版）,2017,55(5):1051-1054,4.基金项目
湖南省自然科学基金面上项目(批准号:2016JJ2008)、湖南省教育厅重点项目(批准号:17A030)、“智能信息处理与应用”湖南省重点实验室项目(批准号:2016TP1020)和湖南省重点建设学科项目. （批准号:2016JJ2008）
