Oscillation of even-order nonlinear differential equations with sublinear and superlinear neutral terms

被引:3
作者
Graef, John R. [1 ]
Grace, Said R. [2 ]
Tunc, Ercan [3 ]
机构
[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt
[3] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60240 Tokat, Turkey
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2020年 / 96卷 / 1-2期
关键词
oscillation; nonlinear differential equation; even-order; neutral term; CRITERIA; BEHAVIOR;
D O I
10.5486/PMD.2020.8648
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with the oscillatory behavior of solutions to a class of even-order nonlinear differential equations with sublinear and superlinear neutral terms. The results are obtained by a comparison with first-order delay differential equations whose oscillatory characters are known as well as by an integral criteria. Examples are provided to illustrate the main results.
引用
收藏
页码:195 / 206
页数:12
相关论文
共 28 条
[1]  
Agarwal RP, 2014, CARPATHIAN J MATH, V30, P1
[2]   The oscillation of higher-order differential equations with deviating arguments [J].
Agarwal, RP ;
Grace, SR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (3-4) :185-199
[3]   The oscillation of certain higher-order functional differential equations [J].
Agarwal, RP ;
Grace, SR ;
O'Regan, D .
MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (7-8) :705-728
[4]   Oscillation criteria for certain nth order differential equations with deviating arguments [J].
Agarwal, RP ;
Grace, SR ;
O'Regan, D .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :601-622
[5]  
Agarwal RP., 2007, Ukr. Math. J, V59, P315, DOI DOI 10.1007/S11253-007-0021-4
[6]  
Agarwal RP., 2000, Oscillation Theory for Difference and Functional Differential Equations
[7]  
[Anonymous], 1988, Inequalities
[8]  
Baculikova B., 2011, J DIFFERENTIAL EQUAT, V2011
[9]   OSCILLATION CRITERIA FOR SECOND-ORDER HALF-LINEAR DELAY DIFFERENTIAL EQUATIONS WITH MIXED NEUTRAL TERMS [J].
Grace, Said R. ;
Graef, John R. ;
Jadlovska, Irena .
MATHEMATICA SLOVACA, 2019, 69 (05) :1117-1126
[10]   An improved approach for studying oscillation of second-order neutral delay differential equations [J].
Grace, Said R. ;
Dzurina, Jozef ;
Jadlovska, Irena ;
Li, Tongxing .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,