Oscillation Criteria for Second Order Nonlinear Differential Equation With Damping
-
摘要: 利用Riccati变换和积分平均方法，研究了一类具有阻尼项的二阶非线性方程的解为振动的若干充分条件，建立了一些判定上述方程为振动的充分准则，结果推广并加强了已有的一些振动准则．Abstract: By the generalized Riccati transformation and the integral averaging technique'some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed'some sufficient oscillation criteria for previous equations were built up.Some oscillation criteria have been expanded and strengthened in some other known results.
-
[1] Kirane M，Rogovchenko Yu V.Oscillation results for a second order damped differential equation with nonmonotonous nonlinearity[J].J Math Anal Appl，2000，250（1）:118—138. doi: 10.1006/jmaa.2000.6975 [2] 王其如.二阶非线性微分方程的振动准则[J].数学学报,2001,44(2):371—376. [3] Hartman P.On nonoscillatory linear differential equations of second order[J].Amer J Math,1952,74(1):389—400. doi: 10.2307/2372004 [4] Kamenev I V.An integral criterion for oscillation of linear differential equations[J].Mat Zametki,1978,23(1):249—251. [5] Li H J.Oscillation criteria for second order linear differential equations[J].J Math Anal Appl,1995,194(2):217—234. doi: 10.1006/jmaa.1995.1295 [6] Philos Ch G.Oscillation theorems for linear differential equations of second order[J].Arch Math,1989,53(6):489—492. [7] Yan J.Oscillation theorems for second order linear differential equations with damping[J].Proc Amer Math Soc,1986，98(1):276—282. doi: 10.1090/S0002-9939-1986-0854033-4 [8] Li W T,Zhang M Y.Oscillation criteria for second order nonlinear differential equations with damped term[J].Indian J Pure Appl Math,1999，30(10)：1017—1029. [9] Wong J S W.A second order nonlinear oscillation[J].Funkcial Ekvac,1968，11(1):207—234. -
点击查看大图
计量
- 文章访问数: 2134
- HTML全文浏览量: 63
- PDF下载量: 636
- 被引次数: 0
下载:
