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

共 50 条

[31] Asymptotic stability for nonautonomous delay differential equations
YU JiansheDepartment of Applied Mathematics
ChineseScienceBulletin, 1997, (20) : 1676 - 1679
[32] Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
Irena Rachůnková
Jan Tomeček
Boundary Value Problems, 2009
[33] Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
Rachunkova, Irena
Tomecek, Jan
BOUNDARY VALUE PROBLEMS, 2009,
[34] Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities
Daoudi-Merzagui, N.
Derrab, F.
Boucherif, A.
ABSTRACT AND APPLIED ANALYSIS, 2012,
[35] Asymptotic Behavior of the Solutions of inhomogeneous linear Differential Equations of the second Order with constant Coefficients
Guckel, Ralf
ELEMENTE DER MATHEMATIK, 2014, 69 (02) : 68 - 83
[36] UNIFORM ASYMPTOTIC SOLUTIONS OF SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS
LYNN, RYS
KELLER, JB
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (03) : 379 - &
[37] Stability properties of solutions of linear second order differential equations with random coefficients
Csoergo, Sandor
Hatvani, Laszlo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (01) : 21 - 49
[38] On the Infinite φ-Order Solutions of Second Order Linear Differential Equations
Yu, Hui
Li, Xiaomin
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2024,
[39] Linear asymptotic behaviour of second order ordinary differential equations
Ehrnstrom, Mats
GLASGOW MATHEMATICAL JOURNAL, 2007, 49 : 105 - 120
[40] Asymptotic representations of solutions of second-order differential equations
V. M. Evtukhov
L. I. Kusik
Differential Equations, 2013, 49 : 406 - 419

← 1 2 3 4 5 →