应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2009年
3期
616-623
,共8页
振动%偏Riccati-型不等式%p-Laplacian型PDE%阻尼项
振動%偏Riccati-型不等式%p-Laplacian型PDE%阻尼項
진동%편Riccati-형불등식%p-Laplacian형PDE%조니항
Oscillation%Partial Riccati-type inequality%PDE with p-Laplacian%Damped
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.
本文建立瞭具阻尼項的p-Laplacian型PDE的偏Riccati型不等式,併利用該不等式得到瞭振動定理,推廣瞭Philos線性ODE的結果,併改進瞭已有的無阻尼p-Laplacian型PDE的振動準則.
본문건립료구조니항적p-Laplacian형PDE적편Riccati형불등식,병이용해불등식득도료진동정리,추엄료Philos선성ODE적결과,병개진료이유적무조니p-Laplacian형PDE적진동준칙.
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.
