ON THE INTEGRAL CHARACTERIZATION OF PRINCIPAL SOLUTIONS FOR HALF-LINEAR ODE

被引：0

作者：

Cecchi, Mariella ^{[1
]}

Dosla, Zuzana ^{[2
]}

Dosly, Ondrej ^{[2
]}

Marini, Mauro ^{[3
]}

机构：

[1] Univ Florence, Dept Elect & Telecommun, I-50139 Florence, Italy

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

[3] Univ Florence, Dept Math & Informat Ulisse Dini, I-50139 Florence, Italy

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 12期

关键词：

Half-linear differential equation; principal solution; oscillation; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter alpha is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations.

引用

页码：1 / 14

页数：14

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