OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

被引：12

作者：

Rogovchenko, Yuri V. ^{[1
,2
]}

Tuncay, Fatos ^{[2
]}

机构：

[1] Univ Kalmar, Sch Pure & Appl Nat Sci, SE-39182 Kalmar, Sweden

[2] Eastern Mediterranean Univ, Dept Math, TRNC, TR-10 Mersin, Turkey

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 6B期

关键词：

Nonlinear differential equations; Damping term; Alternating coefficients; Second order; Asymptotic behavior; Oscillatory solutions; Integral averaging; INTEGRAL AVERAGES; CRITERIA;

D O I：

10.11650/twjm/1500405648

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of second order nonlinear differential equations with damping, efficient oscillation criteria are derived by refining the standard integral averaging technique. Examples are provided to illustrate the relevance of new theorems.

引用

页码：1909 / 1928

页数：20

共 50 条

[1] Oscillation Theorems for Nonlinear Second Order Differential Equations with Damping
B. Ayanlar
A. Tiryaki
[J]. Acta Mathematica Hungarica, 2000, 89 : 1 - 13
[2] OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
陈伯山
[J]. Acta Mathematica Scientia, 1991, (04) : 409 - 416
[3] Oscillation Theorems for Second Order Nonlinear Differential Equations with Damping
Saad, M. J.
Kumaresan, N.
Ratnavelu, Kuru
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (04) : 881 - 893
[4] Oscillation theorems for nonlinear second order differential equations with damping
Ayanlar, B
Tiryaki, A
[J]. ACTA MATHEMATICA HUNGARICA, 2000, 89 (1-2) : 1 - 13
[5] Oscillation theorems for second order nonlinear functional differential equations with damping
Saker, SH
Pang, PYH
Agarwal, RP
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2003, 12 (3-4): : 307 - 321
[6] 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
[7] Oscillation theorems for second-order nonlinear perturbed differential equations with damping
张蒙
宋国华
[J]. Advances in Manufacturing, 2011, 15 (06) : 510 - 516
[8] OSCILLATION THEOREMS FOR NONLINEAR SECOND ORDER DIFFERENTIAL EQUATIONS
ONOSE, H
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 26 (03) : 461 - &
[9] Oscillation theorems for second order nonlinear differential equations
Dosla, Zuzana
Partsvania, Nino
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E1649 - E1658
[10] OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
ERBE, L
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (04) : 811 - &

← 1 2 3 4 5 →