一类偶数阶非线性中立型阻尼偏微分方程解的振动准则  

Oscillation of solutions to a class of even order nonlinear neutral damped partial differential equations

作　　者：蔡江涛[1] 肖娟[1] 杨柳[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《合肥工业大学学报（自然科学版）》2009年第11期1789-1792,共4页Journal of Hefei University of Technology：Natural Science

基　　金：湖南省自然科学基金资助项目(06JJ5001);湖南省教育厅科研基金资助项目(06C189)

摘　　要：研究一类具有阻尼项的偶数阶非线性中立型偏微分方程解的振动性,通过利用Riccati变换、引入一类Φ(t,s,l)型的新函数,获得该类方程在Robin、Dirichlet边值条件下振动的充分判据。Oscillatory properties of solutions to a class of even order nonlinear neutral damped partial differential equations are studied. Some criteria of sufficient conditions for the oscillation of all possible solutions of the equations are obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing a class of new functions φ（t, s,l）.

关 键 词：阻尼 中立型 偏微分方程 振动性 

分 类 号：O175.4[理学—数学]