非线性时滞双曲型偏泛函微分方程的振动准则  

Oscillation Criteria for Nonlinear Delay Hyperbolic Partial Functional Differential Equations

作　　者：高正晖[1] 罗李平[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《大学数学》2009年第6期82-85,共4页College Mathematics

基　　金：湖南省自然科学基金资助项目(06JJ5001);湖南省教育厅科研资助项目(09C171)

摘　　要：研究一类多滞量非线性双曲型偏泛函微分方程解的振动性,借助广义Riccati变换和微分不等式技巧,获得了该类方程振动的若干新的充分条件,同时也给出了实际应用的例子.Oscillatory properties of solutions of a class of nonlinear hyperbolic partial functional differential equations with multi-delays are studied and some new sufficient conditions for the oscillation of the equations are obtained via the generalized Riccati transformation and the technique of differential inequalities. These results are illustrated by some examples.

关 键 词：振动性 时滞 双曲型偏泛函微分方程 非线性 广义Riccati变换 

分 类 号：O175.27[理学—数学]