期刊论文

Oscillation of Solutions to a Class of Second Order Damped Partial Differential Equations with High Order Laplace Operator

中文

兰州文理学院学报(自然科学版)

2095-6991

2008

22

5

9-11+23

10.13804/j.cnki.2095-6991.2008.05.002

湖南省自然科学基金资助项目（06JJ5001）；

本校为第一机构

研究一类含高阶Laplace算子的二阶阻尼偏微分方程解的振动性,通过利用Riccati变换、引入参数函数,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 second order damped partial differential equations with high order Laplace operator are studied. Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary conditions by making use of Riccati transforma...