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).

引用

页码：79 / 104

页数：26

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