非线性中立双曲型偏泛函微分方程的振动性定理  

OSCILLATION THEOREMS OF NONLINEAR NEUTRAL HYPERBOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

作　　者：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：《数学杂志》2010年第6期1023-1028,共6页Journal of Mathematics

基　　金：湖南省教育厅科研计划项目(07C164)

摘　　要：本文研究了一类多滞量非线性中立双曲型偏泛函微分方程的振动性.借助广义Riccati变换和微分不等式技巧,获得了这类方程在Robin,Dirichlet边值条件下所有解振动的若干新的充分条件.表明了其振动是由时滞量引起的.In this article, the oscillation of a class of nonlinear neutral hyperbolic functional partial differential equations with multi-delays is studied. By employing the generalized Riccati transformation and the technique of differential inequalities, some new sufficient conditions for oscillation of all solutions of such equations are obtained under Robin and Dirichlet boundary value conditions. The results fully indicate that the oscillation is caused by delay.

关 键 词：振动性 非线性 中立型 时滞双曲型偏微分方程 广义Riccati变换 

分 类 号：O175.27[理学—数学]