辽宁工程技术大学学报（自然科学版）2011，Vol.30Issue(6)：951-954,4.DOI:21-1379/N.20111211.2127.028
一类双曲时滞微分方程解的H-振动性判据
A class of oscillation criteria of impulsive vector delay hyperbolic differential equations
摘要
Abstract
The oscillations of a class of impulsive vector hyperbolic partial differential equations with delays are investigated in this study. Based on the discussion on the solution of vector differential, the multi-dimensional oscillation problems are transformed into the problems of one-dimensional impulsive delay differential inequalities, which do not have eventual positive solution, using the concept of H-oscillation introduced by Domslak and the method of reducing dimension with scalar product. Some sufficient criteria for H-oscillation of all solutions of the equations are obtained under Robin boundary value condition.关键词
脉冲/时滞/双曲/微分方程/边值问题/内积/不等式/H-振动性Key words
impulse/delay/hyperbolic/differential equation/boundary value problem/inner product/inequality/H-oscillation分类
数理科学引用本文复制引用
高振兴..一类双曲时滞微分方程解的H-振动性判据[J].辽宁工程技术大学学报（自然科学版）,2011,30(6):951-954,4.基金项目
辽宁省教育厅基金资助项目(2008F5005) （2008F5005）
