A remark on an oscillation constant in the half-linear oscillation theory

被引：4

作者：

Dosly, Ondrej ^{[1
]}

Reznickova, Jana ^{[2
]}

机构：

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

[2] Tomas Bata Univ, Dept Math, CZ-76005 Zlin, Czech Republic

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 09期

关键词：

Half-linear differential equation; Oscillation criterion; Nonprincipal solution; Oscillation constant; NONOSCILLATION;

D O I：

10.1016/j.aml.2010.04.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a new oscillation criterion for the half-linear second order differential equation (r(t)Phi(x')' + c(t)Phi(x) = 0. Phi(x) := vertical bar x vertical bar(p-2)x. p> 1, which improves a result given in [8]. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：971 / 974

页数：4

共 50 条

[41] Oscillation of half-linear differential equations with asymptotically almost periodic coefficients
Petr Hasil
Michal Veselý
Advances in Difference Equations, 2013
[42] OSCILLATION OF THIRD-ORDER HALF-LINEAR NEUTRAL DIFFERENCE EQUATIONS
Thandapani, E.
Selvarangam, S.
MATHEMATICA BOHEMICA, 2013, 138 (01): : 87 - 104
[43] An oscillation criterion for forced half-linear differential equations with mixed nonlinearities
Yang, Xiaojing
Kim, Yong-In
Lo, Kueiming
APPLIED MATHEMATICS LETTERS, 2012, 25 (12) : 2128 - 2131
[44] Modified Prufer angle and conditional oscillation of perturbed linear and half-linear differential equations
Hasil, Petr
Vesely, Michal
APPLIED MATHEMATICS AND COMPUTATION, 2019, 361 : 788 - 809
[45] Non-oscillation of modified Euler type linear and half-linear differential equations
Sisolakova, Jirina
EUROPEAN JOURNAL OF MATHEMATICS, 2022, 8 (02) : 700 - 721
[46] Non-oscillation of modified Euler type linear and half-linear differential equations
Jiřina Šišoláková
European Journal of Mathematics, 2022, 8 : 700 - 721
[47] Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values
Hasil, Petr
Vesely, Michal
OPEN MATHEMATICS, 2018, 16 : 507 - 521
[48] Geometrical conditions for oscillation of second-order half-linear differential equations
Sugie, J.
ACTA MATHEMATICA HUNGARICA, 2008, 118 (04) : 369 - 394
[49] Oscillation of a second order half-linear difference equation and the discrete Hardy inequality
Kalybay, Aigerim
Karatayeva, Danagul
Oinarov, Ryskul
Temirkhanova, Ainur
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (43) : 1 - 16
[50] Oscillation of even-order half-linear functional differential equations with damping
Liu, Shouhua
Zhang, Quanxin
Yu, Yuanhong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 2191 - 2196

← 1 2 3 4 5 →