ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF A CLASS OF SECOND ORDER DIFFERENTIAL SYSTEMS

被引：0

作者：

Nenov, Svetoslav Ivanov ^{[1
]}

机构：

[1] Univ Chem Technol & Met, Dept Math, BU-1756 Sofia, Bulgaria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

asymptotic behaviour; gradient systems; T. Wazewski's theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper it is proved that for any solution x(1)(t) of the system Mx+x=f(t,x),for which lim(t ->infinity) parallel to x1(t)parallel to = 0, there exists a solution x2(t) of the system x = f(t,x) such that lim(t ->infinity) parallel to x1(t)-x2(t)parallel to = 0. Some generalizations of this result are also presented. The case f(t,x) = -del U(x) has been investigated explicitly.

引用

页数：9