Oscillation criteria for nonlinear second order differential equations with damping

被引：10

作者：

Zheng, Z ^{[1
]}

机构：

[1] Qufu Normal Univ, Dept Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2006年 / 110卷 / 03期

基金：

中国国家自然科学基金;

关键词：

oscillation; damping term; integral average method;

D O I：

10.1007/s10474-006-0019-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the integral average method, we give some new oscillation criteria for the second order differential equation with damped term (a(t) Psi(x(t)) K(x'(t)))' + p(t) K(x'(t)) + q(t) f(x(t)) = 0; t >= t(0). These results improve and generalize the oscillation criteria in [ 1], because they eliminate both the differentiability of p(t) and the sign of p(t), q(t). As a consequence, improvements of Sobol's type oscillation criteria are obtained.

引用

页码：241 / 252

页数：12

共 50 条

[1] Oscillation criteria for nonlinear second order differential equations with damping
Zhaowen Zheng
[J]. Acta Mathematica Hungarica, 2006, 110 : 241 - 252
[2] OSCILLATION CRITERIA FOR NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DAMPING
Cakmak, D.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (05) : 799 - 809
[3] Interval oscillation criteria for second order nonlinear differential equations with damping
Li, WT
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2003, 7 (03): : 461 - 475
[4] OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
El-Sheikh, M. M. A.
Sallam, R. A.
Elimy, D. I.
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2011, 8 (02): : 127 - 142
[5] OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
Tunc, E.
Avci, H.
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (02): : 40 - 50
[6] Oscillation criteria for nonlinear second-order differential equations with damping
D. Çakmak
[J]. Ukrainian Mathematical Journal, 2008, 60 : 799 - 809
[7] Oscillation criteria for second-order nonlinear differential equations with damping
Rogovchenko, Yuri V.
Tuncay, Fatos
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) : 208 - 221
[8] Interval oscillation criteria for second order nonlinear differential equations with damping
Rogovchenko, Yuri V.
Tuncay, Fatos
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2007, 16 (02): : 337 - 343
[9] INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH NONLINEAR DAMPING
Tunc, Ercan
Avci, Hakan
[J]. MISKOLC MATHEMATICAL NOTES, 2013, 14 (01) : 307 - 321
[10] Oscillation criteria for second-order nonlinear differential equations with nonlinear damping
Zhao, Aimin
Wang, Yanmei
Yan, Jurang
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (02) : 542 - 555

← 1 2 3 4 5 →