摘要
目的研究了具有阻尼项和高阶Laplace算子的非线性双曲型偏微分方程解的振动性。方法应用积分平均技术和Riccati变换方法。结果或结论获得了该方程在所给边值条件下所有解振动的一些新的充分条件。
Objective In this paper, the oscillation for the solutions of nonlinear hyperbolic partial differential equation with damped terms and high order Laplace operator is investigated. Methods By using integral averaging technique and Riccati transformation. Results or Conclusion some new sufficient conditions for the oscillation of each solution of the equation are obtained in the given boundary value conditions.
出处
《衡阳师范学院学报》
2012年第6期5-9,共5页
Journal of Hengyang Normal University
基金
Supported by the construct program of the key discipline in Hunan province
关键词
双曲偏微分方程
连续时滞变量
高阶LAPLACE算子
阻尼项
振动性
hyperbolic partial differential equation
continuous delay argument
high order Laplace operator
damped terms
oscillation.
