INTEGRAL COMPARISON CRITERIA FOR NONOSCILLATION OF HALF-LINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER

被引：0

作者：

Jaros, Jaroslav ^{[1
]}

机构：

[1] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2023年 / 90卷

关键词：

Half-linear differential equations; nonoscillatory solutions; Hille-Wintner comparison theorem; generalized Riccati equation; OSCILLATION; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new comparison theorem of the Hille-Wintner type is established for a pair of half-linear differential equations of the second order. It is formulated in terms of solutions continuable to infinity of the generalized Riccati equation associated with a known nonoscillatory second-order half-linear equation.

引用

页码：27 / 38

页数：12

共 28 条

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