积分平均法与偶数阶带阻尼项非线性微分方程的振动准则(英文)  

Integral Averaging Technique and Oscillation Criteria for Even Order Nonlinear Damped Differential Equations

作　　者：陈目[1] 张静[2] 

机构地区：[1]湛江教育学院数学系,湛江524037 [2]广州大学纺织服装学院公共教学部,广州510310

出　　处：《工程数学学报》2008年第5期788-794,共7页Chinese Journal of Engineering Mathematics

基　　金：The Natural Science Foundation of Guangdong (04010364)

摘　　要：用积分平均法和黎卡提技巧,对偶数阶带阻尼项非线性微分方程研究获得一些新的振动准则,这些结果改进和推广了一些已有文献的性质。最后,我们给出实例以阐述本文结果的有效性。Using the integral averaging technique and the generalized Riccat technique, some new oscillation criteria are established for even order nonlinear damped differential equations.In particular, an interesting example that demonstrates the importance of our results is also included. These results improve and extend some known results in the literature.

关 键 词：振动 非线性微分方程 偶数阶 积分平均法 

分 类 号：O175.14[理学—数学]