偏Riccati型不等式和具阻尼项p-Laplacian型PDE的振动定理(英文)  

Oscillation Theorems for Certain Damped PDE with p-Laplacian via Partial Riccati-type inequality

作　　者：杨戈锋[1,2] 徐志庭[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631 [2]广东外语外贸大学人事处,广东广州510420

出　　处：《应用数学》2009年第3期616-623,共8页Mathematica Applicata

基　　金：Supported by the NSF of Guangdong Province under Grant(8451063101000730)

摘　　要：本文建立了具阻尼项的p-Laplacian型PDE的偏Riccati型不等式,并利用该不等式得到了振动定理,推广了Philos线性ODE的结果,并改进了已有的无阻尼p-Laplacian型PDE的振动准则.The partial Riccati-type inequality is established for certain damped PDE with p-Laplacian.As an application of the inequality,we obtain oscillation theorems,which extend the results for linear ODE due to Philos,and improve earlier oscillation criteria for undamped PDE with p-Laplacian.

关 键 词：振动 偏Riccati-型不等式 p-Laplacian型PDE 阻尼项 

分 类 号：O175.25[理学—数学]