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
收藏
页码：611 / 619
页数：9
相关论文
共 50 条
  • [31] Integral condition for oscillation of half-linear differential equations with damping
    Sugie, Jitsuro
    Ishibashi, Kazuki
    APPLIED MATHEMATICS LETTERS, 2018, 79 : 146 - 154
  • [32] Oscillation criteria for second order half-linear difference equations
    Rehák, P
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2001, 7 (04) : 483 - 505
  • [33] Oscillation criterion for Euler type half-linear difference equations
    Hasil, Petr
    Vesely, Michal
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4283 - 4305
  • [34] OSCILLATION CRITERIA FOR FOURTH ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS
    Jaros, Jaroslav
    Takasi, Kusano
    Tanigawa, Tomoyuki
    ARCHIVUM MATHEMATICUM, 2020, 56 (02): : 115 - 125
  • [35] Generalized Prufer angle and oscillation of half-linear differential equations
    Dosly, O.
    Jaros, J.
    Vesely, M.
    APPLIED MATHEMATICS LETTERS, 2017, 64 : 34 - 41
  • [36] Riccati technique and oscillation constant for modified Euler type half-linear equations
    Hasil, Petr
    Jaros, Jaroslav
    Vesely, Michal
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2020, 97 (1-2): : 117 - 147
  • [37] Oscillation constants for half-linear difference equations with coefficients having mean values
    Hasil, Petr
    Vesely, Michal
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [38] Non-Oscillation of half-linear difference equations with asymptotically periodic coefficients
    Hasil, P.
    Juranek, J.
    Vesely, M.
    ACTA MATHEMATICA HUNGARICA, 2019, 159 (01) : 323 - 348
  • [39] Integral averaging technique for oscillation of damped half-linear oscillators
    Enaka, Yukihide
    Onitsuka, Masakazu
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (03) : 755 - 770
  • [40] Oscillation and nonoscillation of perturbed half-linear Euler differential equations
    Dosly, Ondrej
    Reznickova, Jana
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2007, 71 (3-4): : 479 - 488
12345