Nonoscillatory half-linear differential equations and generalized Karamata functions

被引：49

作者：

Jaros, J

Takasi, K

Tanigawa, T

机构：

[1] Fukuoka Univ, Fac Sci, Dept Appl Math, Jonan Ku, Fukuoka 8140180, Japan

[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal, Bratislava 82448, Slovakia

[3] Joetsu Univ Educ, Dept Math, Niigata 9438512, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 04期

关键词：

half-linear differential equation; nonoscillation; slowly varying function; regular variation;

D O I：

10.1016/j.na.2005.05.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a natural generalization of the concept of regularly varying functions in the sense of Karamata, and show that the class of generalized Karamata functions is a well-suited framework for the study of the asymptotic behavior of nonoscillatory solutions of the half-linear differential equation of the type (P(t) vertical bar y'vertical bar(alpha-1)y')' + q(t) vertical bar y vertical bar(alpha-1) y = 0. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：762 / 787

页数：26

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