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.
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页数：9
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