Power comparison theorems in half-linear oscillation theory

被引：12

作者：

Dosly, Ondrej ^{[1
]}

Fisnarova, Simona ^{[2
]}

Marik, Robert ^{[2
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, CZ-61137 Brno, Czech Republic

[2] Mendel Univ Brno, Dept Math, CZ-61300 Brno, Czech Republic

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 02期

关键词：

Half-linear differential equation; Oscillation and nonoscillation criteria; Riccati technique; Conditional oscillation; 2ND-ORDER DIFFERENTIAL-EQUATIONS; PRINCIPAL SOLUTION;

D O I：

10.1016/j.jmaa.2012.12.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compare oscillatory behavior of two half-linear differential equations with different powers by the homogeneous functions appearing in these equations. Our results generalize and extend several previously proved power comparison theorems. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：611 / 619

页数：9

共 50 条

[21] Conditional oscillation and principal solution of generalized half-linear differential equation
Bognar, Gabriella
Dosly, Ondrej
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (02): : 451 - 459
[22] METHODS IN HALF-LINEAR ASYMPTOTIC THEORY
Rehak, Pavel
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[23] Oscillation result for half-linear dynamic equations on timescales and its consequences
Hasil, Petr
Vesely, Michal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) : 1921 - 1940
[24] HARTMAN-TYPE COMPARISON THEOREMS FOR HALF-LINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER
Jaros, Jaroslav
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (84) : 1 - 8
[25] Oscillation constants for half-linear difference equations with coefficients having mean values
Petr Hasil
Michal Veselý
Advances in Difference Equations, 2015
[26] Integral averaging technique for oscillation of damped half-linear oscillators
Yukihide Enaka
Masakazu Onitsuka
Czechoslovak Mathematical Journal, 2018, 68 : 755 - 770
[27] OSCILLATION CONSTANT FOR MODIFIED EULER TYPE HALF-LINEAR EQUATIONS
Hasil, Petr
Vesely, Michal
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[28] Oscillation and non-oscillation of Euler type half-linear differential equations
Dosly, Ondrej
Vesely, Michal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (01) : 602 - 621
[29] CONDITIONAL OSCILLATION OF HALF-LINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
Hasil, Petr
ARCHIVUM MATHEMATICUM, 2008, 44 (02): : 119 - 131
[30] Oscillation and non-oscillation results for solutions of perturbed half-linear equations
Hasil, Petr
Vesely, Michal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (09) : 3246 - 3269

← 1 2 3 4 5 →