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.
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页码：69 / 80
页数：12
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