A remark on the existence of slowly growing positive solutions to second order super-linear ordinary differential equations

被引：6

作者：

Naito, Manabu ^{[1
]}

机构：

[1] Ehime Univ, Dept Math, Fac Sci, Matsuyama, Ehime 7908577, Japan

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2013年 / 20卷 / 06期

关键词：

Slowly growing positive solutions; Super-linear; Ordinary differential equations; OSCILLATION; THEOREMS;

D O I：

10.1007/s00030-013-0229-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper second order super-linear ordinary differential equations are considered, and a sufficient condition for the existence of a slowly growing positive solution is given.

引用

页码：1759 / 1769

页数：11

共 9 条

[1] Cecchi M., 2008, ADV DYNAM SYSTEMS AP, V3, P161
[2] ELBERT A, 1982, LECT NOTES MATH, V964, P187
[3] OSCILLATION AND NON-OSCILLATION THEOREMS FOR A CLASS OF 2ND-ORDER QUASI-LINEAR DIFFERENTIAL-EQUATIONS
ELBERT, A
KUSANO, T
[J]. ACTA MATHEMATICA HUNGARICA, 1990, 56 (3-4) : 325 - 336
[4] Characterization of slowly decaying positive solutions of second-order quasilinear ordinary differential equations with sub-homogeneity
Kamo, Ken-ichi
Usami, Hiroyuki
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2010, 42 : 420 - 428
[5] Mirzov D.D., 1973, DIFF EQUAT, V9, P447
[6] MIRZOV DD, 1974, MATH NOTES, V16, P932
[7] Naito M, 2012, MEM DIFFER EQU MATH, V57, P95
[8] On the asymptotic behavior of nonoscillatory solutions of second order quasilinear ordinary differential equations
Naito, Manabu
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (01) : 315 - 327
[9] [No title captured]

← 1 →