| 偏Riccati型不等式和具阻尼项p-Laplacian型PDE的振动定理 |
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| 引用本文： | 杨戈锋,徐志庭.偏Riccati型不等式和具阻尼项p-Laplacian型PDE的振动定理[J].应用数学,2009,22(3). |
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| 作者姓名： | 杨戈锋 徐志庭 |
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| 作者单位： | 1. 华南师范大学数学科学学院,广东,广州,510631;广东外语外贸大学人事处,广东,广州,510420
2. 华南师范大学数学科学学院,广东,广州,510631 |
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| 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.
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| 关 键 词： | 振动 偏Riccati-型不等式 p-Laplacian型PDE 阻尼项 |
Oscillation Theorems for Certain Damped PDE with p-Laplacian via Partial Riccati-type inequality |
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| YANG Ge-feng,XU Zhi-ting.Oscillation Theorems for Certain Damped PDE with p-Laplacian via Partial Riccati-type inequality[J].Mathematica Applicata,2009,22(3). |
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| Authors: | YANG Ge-feng XU Zhi-ting |
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| Abstract: | 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. |
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| Keywords: | Oscillation Partial Riccati-type inequality PDE with p-Laplacian Damped |
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