Nonprincipal solutions of half-linear second order differential equations

被引：5

作者：

Dosly, Ondrej ^{[1
]}

Unal, Mehmet ^{[2
]}

机构：

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

[2] Bahcesehir Univ, Fac Engn, TR-34100 Istanbul, Turkey

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期

关键词：

Half-linear oscillation theory; Principal solution; Nonprincipal solution; Oscillation criterion; Riccati type equation;

D O I：

10.1016/j.na.2009.02.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonoscillatory half-linear second order differential equation (r(t)phi(x'))' + c(t)phi(x) = 0, phi(x) = |x|(p-2)x, p>1, (*) and we suppose that we know its principal solution (x) over tilde. We establish an asymptotic formula for nonprincipal solutions of (*) and we use this asymptotic formula to obtain an oscillation criterion for (*). (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4026 / 4033

页数：8

共 50 条

[21] A REMARK ON POWER COMPARISON THEOREM FOR HALF-LINEAR DIFFERENTIAL EQUATIONS
Bognar, Gabriella
Dosly, Ondaej
MATHEMATICA BOHEMICA, 2008, 133 (02): : 187 - 195
[22] Oscillation and nonoscillation of perturbed half-linear Euler differential equations
Dosly, Ondrej
Reznickova, Jana
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2007, 71 (3-4): : 479 - 488
[23] Oscillation theorems for second-order half-linear delay dynamic equations with damping on time scales
Zhang, Quanxin
Qiu, Fang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4185 - 4193
[24] OSCILLATION OF MODIFIED EULER TYPE HALF-LINEAR DIFFERENTIAL EQUATIONS VIA AVERAGING TECHNIQUE
HASIL, P. E. T. R.
SISOLAKOVA, J. I. R. I. N. A.
VESELY, M. I. C. H. A. L.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (41)
[25] Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case
Zuzana Došlá
Petr Hasil
Serena Matucci
Michal Veselý
Journal of Inequalities and Applications, 2019
[26] Averaging technique and oscillation criterion for linear and half-linear equations
Hasil, P.
Sisolakova, J.
Vesely, M.
APPLIED MATHEMATICS LETTERS, 2019, 92 : 62 - 69
[27] Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case
Dosla, Zuzana
Hasil, Petr
Matucci, Serena
Vesely, Michal
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[28] Half-linear equations and characteristic properties of the principal solution
Cecchi, M
Doslá, Z
Marini, M
JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 208 (02) : 494 - 507
[29] ON THE INTEGRAL CHARACTERIZATION OF PRINCIPAL SOLUTIONS FOR HALF-LINEAR ODE
Cecchi, Mariella
Dosla, Zuzana
Dosly, Ondrej
Marini, Mauro
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (12) : 1 - 14
[30] Summation Characterization of the Recessive Solution for Half-Linear Difference Equations
Dosly, Ondrej
Fisnarova, Simona
ADVANCES IN DIFFERENCE EQUATIONS, 2009,

← 1 2 3 4 5 →