Some properties of solutions of second-order linear ordinary differential equations

被引：0

作者：

Grigoryan, G. A. ^{[1
,2
]}

机构：

[1] Natl Acad Sci Armenia, Inst Math, Yerevan, Armenia

[2] Natl Acad Sci Armenia, Inst Math, Physicomath Sci, Yerevan, Armenia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2013年 / 19卷 / 01期

关键词：

Riccati equation; estimation of the distance between two consecutive zeroes; oscillation; nonoscillation; oscillation on a finite interval; asymptotic behavior; stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Riccati equation method is used to obtain lower and upper estimates for the distance between two consecutive zeros of a solution and the derivative of the solution to a second-order linear ordinary differential equation in terms of its coefficients. Oscillation conditions and a stability condition are proved, and a theorem on the asymptotic behavior of zeros of solutions to a second-order linear equation and on the asymptotic behavior of one of the solutions to this equation is established.

引用

页码：69 / 80

页数：12

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