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

[1] NONPRINCIPAL SOLUTIONS IN OSCILLATION CRITERIA FOR HALF-LINEAR DIFFERENTIAL EQUATIONS
Dosly, Ondrej
Reznickova, Jana
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (01) : 127 - 137
[2] Extreme and moderate solutions of nonoscillatory second order half-linear differential equations
Jaros, Jaroslav
Kusano, Takasi
Tanigawa, Tomoyuki
ANNALES POLONICI MATHEMATICI, 2022, 128 (01) : 49 - 85
[3] Conjugacy of half-linear second-order differential equations
Dosly, O
Elbert, A
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 : 517 - 525
[4] Nonoscillation and oscillation of second order half-linear differential equations
Kong, Qingkai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) : 512 - 522
[5] Oscillation of certain second order half-linear differential equations
Agarwal, RP
Grace, SR
DIFFERENTIAL EQUATIONS AND APPLICATIONS, VOL 2, 2002, : 11 - 18
[6] OSCILLATION OF SOLUTIONS TO SECOND-ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS WITH NEUTRAL TERMS
Li, Tongxing
Senel, Mehmet Tamer
Zhang, Chenghui
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[7] Oscillation criteria for second-order half-linear differential equations
Manojlovic, JV
MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (5-6) : 109 - 119
[8] Oscillation results for second-order half-linear differential equations
Yang, XJ
MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (4-5) : 503 - 507
[9] Methods of oscillation theory of half-linear second order differential equations
Dosly, O
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2000, 50 (03) : 657 - 671
[10] OSCILLATIONS OF SECOND-ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES
Pan Lijun (Dept. of Math.
Annals of Differential Equations, 2006, (04) : 540 - 545

← 1 2 3 4 5 →