Adapted Riccati technique and non-oscillation of linear and half-linear equations

被引：6

作者：

Hasil, P. ^{[1
]}

Juranek, J. ^{[1
]}

Vesely, M. ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, CZ-61137 Brno, Czech Republic

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 82卷

关键词：

Riccati technique; p-Laplacian; Half-linear equation; Non-oscillation criterion; Riccati equation; Oscillation theory; Linear differential equation; NONLINEAR DIFFERENTIAL-EQUATIONS; EULER TYPE; PERIODIC COEFFICIENTS; P-LAPLACIAN; CONSTANTS; OPERATORS; CRITERIA;

D O I：

10.1016/j.aml.2018.03.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to mention a generalization of the adapted Riccati equation and, using this method, to prove a non-oscillatory result concerning half-linear differential equations with coefficients having mean values. Note that this result is new even for linear equations. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：98 / 105

页数：8

共 50 条

[21] Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients
Hasil, Petr
Vesely, Michal
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[22] Oscillation and non-oscillation criterion for Riemann-Weber type half-linear differential equations
Hasil, Petr
Vesely, Michal
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (59)
[23] Oscillation of linear and half-linear difference equations via modified Riccati transformation
Sisolakova, Jirina
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 528 (02)
[24] 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
[25] Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients
Petr Hasil
Michal Veselý
Advances in Difference Equations, 2015
[26] 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
[27] Riccati technique for oscillation of half-linear/Emden-Fowler neutral dynamic equations
Saker, Samir H.
Sethi, Abhay K.
Tunc, Osman
Alzabut, Jehad
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 29 (04): : 387 - 398
[28] Generalized discrete Riccati equation and oscillation of half-linear difference equations
Rehák, P
MATHEMATICAL AND COMPUTER MODELLING, 2001, 34 (3-4) : 257 - 269
[29] Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm
Sisolakova, Jirina
OPEN MATHEMATICS, 2024, 22 (01):
[30] Oscillation criterion for Euler type half-linear difference equations
Hasil, Petr
Vesely, Michal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4283 - 4305

← 1 2 3 4 5 →