ON ASYMPTOTIC STABILITY OF SOLUTIONS OF SECOND ORDER LINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Barinova, Tatiyana [1 ]
Kostin, Alexander [1 ]
机构：
[1] Odessa II Mechnikov Natl Univ, 2 Dvoryanska St, UA-65082 Odessa, Ukraine
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2014年 / 63卷
关键词：
Second order differential equation; linear; nonautonomous; asymptotic 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 sufficient conditions for asymptotic stability of solutions of second order linear differential equation y'' + p(t)y' + q(t) y = 0 with continuously differentiable coefficients p : [0; +infinity) -> R and q : [0; +infinity) -> R are established in the case where the roots of the characteristic equation lambda(2) + p(t)lambda + q(t) = 0 satisfy conditions Re lambda(i) (t) < 0 for t >= 0; integral(+infinity)(t0) Re lambda(i) (t) dt = -infinity (i = 1, 2).
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页码：79 / 104
页数：26
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