Oscillation theorems for second-order superlinear neutral differential equations

被引：33

作者：

Baculikova, Blanka ^{[1
]}

Li, Tongxing ^{[2
]}

Dzurina, Jozef ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, SK-04200 Kosice, Slovakia

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

MATHEMATICA SLOVACA | 2013年 / 63卷 / 01期

关键词：

second-order superlinear neutral differential equations; comparison theorem; oscillation; CRITERIA;

D O I：

10.2478/s12175-012-0087-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form (r(t)vertical bar z'(t)vertical bar(alpha-1)z'(t))' + q(t)vertical bar x(sigma(t))vertical bar(alpha-1)x(sigma(t)) = 0, (E) where z(t) = x(t) + p(t)x(tau(t)). The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend and improve the results in the literature.

引用

页码：123 / 134

页数：12

共 50 条

[31] On oscillation of second-order noncanonical neutral differential equations
Muhib, Ali
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[32] OSCILLATION THEOREMS FOR SECOND ORDER ADVANCED NEUTRAL DIFFERENTIAL EQUATIONS
Dzurina, Jozef
DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2010, 2011, 48 : 61 - 71
[33] Oscillation of second-order nonlinear neutral differential equations
Lin, XY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 442 - 452
[34] On the Oscillation of Second-Order Neutral Delay Differential Equations
Han, Zhenlai
Li, Tongxing
Sun, Shurong
Chen, Weisong
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[35] OSCILLATION OF SOLUTIONS TO SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Li, Tongxing
Thandapani, Ethiraju
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[36] On the Oscillation of Second-Order Neutral Delay Differential Equations
Zhenlai Han
Tongxing Li
Shurong Sun
Weisong Chen
Advances in Difference Equations, 2010
[37] On oscillation of second-order noncanonical neutral differential equations
Ali Muhib
Journal of Inequalities and Applications, 2021
[38] Oscillation of Second-Order Noncanonical Delay Differential Equations With a Neutral Part Containing Sublinear and Superlinear Terms
Graef, John R.
Grace, Said R.
Chhatria, Gokula N.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
[39] OSCILLATION THEOREMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT
KUSANO, T
ONOSE, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (5-6): : 342 - 346
[40] Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations
Qin, Hui-Zeng
Ren, Yongsheng
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 2009

← 1 2 3 4 5 →