二阶泛函微分方程解的振动性判别准则(英文)

基金项目:

Oscillation criteria for second order neutral functional differentia equations

摘要: 研究了二阶混合中立型泛函数微分方程 :d2dt2 [x( t) + cx( t- h) + c* x( t+h* ) ]+ qx( t- g) + px( t+ g* ) =0 ,这里 c,c* ,h,h* ,p,q是实数 ,g和 g*是正常数 .并对其解的振动性建立了若干判别准则 .本文结果改进了文 [1 ]中所有定理
- 微分方程 /
- 中立型 /
- 振动性
Abstract: The second order neutral functional differential equations of mixed type: d 2dt 2〔x(t)+cx(t-h)+c *x(t+h *)〕+qx(t-g)+px(t+g *)=0 is studied,where c,c *,h,h *,p,q are real numbers,g and g * are positive constants,and some new criterias for the oscillation of those equations are established.The results in this paper improve all theorems in.
- differential equation /
- neutral /
- oscilliation