Oscillation Theorems for Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales

被引：0

作者：

Samir HSAKER ^{[1
]}

Donal OREGAN ^{[2
]}

Ravi PAGARWAL ^{[3
]}

机构：

[1] Department of Mathematics, College of Science, King Saud University, Riyadh , Saudi Arabia

[2] Department of Mathematics, National University of Ireland, Galway, Ireland

[3] Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida , USA

来源：

ActaMathematicaSinica(EnglishSeries) | 2008年 / 24卷 / 09期

关键词：

oscillation; neutral delay dynamic equation; generalized Riccati technique; time scales;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正> By employing the generalized Riccati transformation technique,we will establish some newoscillation criteria and study the asymptotic behavior of the nonoscillatory solutions of the second-ordernonlinear neutral delay dynamic equation[r（t）[y（t）+p（t）y(■（t）)]Δ]Δ+q（t）f(y((δ（t）))=0on a time scale■.The results improve some oscillation results for neutral delay dynamic equationsand in the special case when■our results cover and improve the oscillation results for second-order neutral delay differential equations established by Li and Liu[Canad.J.Math.,48（1996）,871 886].When■,our results cover and improve the oscillation results for second order neutraldelay difference equations established by Li and Yeh[Comp.Math.Appl.,36（1998）,123-132].When■■our results are essentially new.Someexamples illustrating our main results are given.

引用

页码：5+1410 / 1432 +1410-1432

页数：24

共 5 条

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[3]

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[4]

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[5]

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