KAMENEV-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER QUASILINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Xu, Zhiting ^{[1
]}

Xia, Yong ^{[2
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510090, Guangdong, Peoples R China

[2] Dongguan Inst Technol, Dept Math, Dongguan 511700, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Oscillation; second order quasilinear differential equation; integral operator;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain Kamenev-type oscillation criteria for the second-order quasilinear differential equation (r(t)vertical bar y'(t)vertical bar(alpha) (1)y'(t))' + p(t) vertical bar y(t)vertical bar(beta) (1)y(t) = 0 . The criteria obtained extend the integral averaging technique and include earlier results due to Kamenev, Philos and Wong.

引用

页数：9

共 50 条

[1] New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping
Sun, YG
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) : 341 - 351
[2] Kamenev-type oscillation criteria for second-order matrix differential systems
Wang, QR
Wu, XM
Zhu, SM
APPLIED MATHEMATICS LETTERS, 2003, 16 (06) : 821 - 826
[3] New Kamenev-type oscillation criteria for second-order differential equations on a measure chain
Del Medico, A
Kong, QK
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (8-9) : 1211 - 1230
[4] On Kamenev-type oscillation theorems for second-order differential equations with damping
Wong, JSW
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (01) : 244 - 257
[5] Kamenev-type oscillation criteria for second-order linear delay dynamic equations
Erbe, L
Peterson, A
Saker, SH
DYNAMIC SYSTEMS AND APPLICATIONS, 2006, 15 (01): : 65 - 78
[6] Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain
Del Medico, A
Kong, QK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) : 621 - 643
[7] New Kamenev-type oscillation criteria for second-order nonlinear advanced dynamic equations
Agarwal, Ravi P.
Zhang, Chenghui
Li, Tongxing
APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 822 - 828
[8] Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales
Qiu, Yang-Cong
Wang, Qi-Ru
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[9] KAMENEV-TYPE OSCILLATION CRITERIA FOR SECOND-ORDER MATRIX DYNAMIC EQUATIONS ON TIME SCALES
Kong, Qingkai
Wang, Qi-Ru
Zhu, Zhi-Qiang
DYNAMIC SYSTEMS AND APPLICATIONS, 2009, 18 (3-4): : 423 - 439
[10] New kamenev-type oscillation criteria for second order neutral nonlinear differential equations
Xu, Run
Meng, Fanwei
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1364 - 1370

← 1 2 3 4 5 →