二阶非线性阻尼方程的振动准则

基金项目: 广东省自然科学基金资助项目

Oscillation Criteria for Second Order Nonlinear Differential Equation With Damping

1.
Department of Mathematics, Huizhou College, Huizhou, Guangdong 516015, P. R. China;

摘要: 利用Riccati变换和积分平均方法，研究了一类具有阻尼项的二阶非线性方程的解为振动的若干充分条件，建立了一些判定上述方程为振动的充分准则，结果推广并加强了已有的一些振动准则．
- 二阶非线性阻尼方程 /
- 振动性 /
- Riccati变换 /
- 积分平均技巧
Abstract: By the generalized Riccati transformation and the integral averaging technique'some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed'some sufficient oscillation criteria for previous equations were built up.Some oscillation criteria have been expanded and strengthened in some other known results.
- second order nonlinear differential equation with damping /
- oscillation /
- Riccati transformation /
- integral averaging technique

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