OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

被引：10

作者：

Chuaqui, Martin ^{[2
]}

Duren, Peter ^{[1
]}

Osgood, Brad ^{[3
]}

Stowe, Dennis ^{[4
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Pontificia Univ Catolica Chile, Fac Matemat, Santiago 22, Chile

[3] Stanford Univ, Dept Elect Engn, Stanford, CA 94305 USA

[4] Idaho State Univ, Dept Math, Pocatello, ID 83204 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 79卷 / 01期

关键词：

linear differential equations; zeros of solutions; oscillation; relative convexity; Sturm comparison theorem; Schwarzian derivative; univalence; CRITERIA;

D O I：

10.1017/S0004972708001202

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we study the zeros of solutions of differential equations of the form u '' + pu = 0. A criterion for oscillation is found, and some sharper forms of the Sturm comparison theorem are given.

引用

页码：161 / 169

页数：9

共 50 条

[1] Oscillation of solutions of linear differential equations
Ye Zhou Li
Jun Wang
[J]. Acta Mathematica Sinica, English Series, 2008, 24 : 167 - 176
[2] Oscillation of Solutions of Linear Differential Equations
Ye Zhou LI School of Science
[J]. Acta Mathematica Sinica,English Series, 2008, 24 (01) : 167 - 176
[3] On Oscillation of Solutions of Linear Differential Equations
Janne Gröhn
Jouni Rättyä
[J]. The Journal of Geometric Analysis, 2017, 27 : 868 - 885
[4] On Oscillation of Solutions of Linear Differential Equations
Grohn, Janne
Rattya, Jouni
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (01) : 868 - 885
[5] Oscillation of solutions of linear differential equations
Li, Ye Zhou
Wang, Jun
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (01) : 167 - 176
[6] ON THE OSCILLATION OF SOLUTIONS OF LINEAR-DIFFERENTIAL EQUATIONS
HARRIS, BJ
[J]. MATHEMATIKA, 1984, 31 (62) : 214 - 226
[7] OSCILLATION OF IMPULSIVE LINEAR DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS
Akgol, Sibel Dogru
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2023, 107 (01) : 112 - 124
[8] OSCILLATION OF SOLUTIONS TO SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS
Seman, Jan
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[9] Oscillation and nonoscillation of solutions for second order linear differential equations
Hong, HL
Yeh, CC
Li, HJ
Hsu, HB
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2004, 65 (1-2): : 29 - 47
[10] GROWTH AND OSCILLATION THEORY OF SOLUTIONS OF SOME LINEAR DIFFERENTIAL EQUATIONS
Belaiedi, Benharrat
[J]. MATEMATICKI VESNIK, 2008, 60 (04): : 233 - 246

← 1 2 3 4 5 →