PERIODIC-SOLUTIONS OF NON-LINEAR DIFFERENTIAL DIFFERENCE-EQUATIONS

被引：0
|
作者：
LAEDERICH, S
机构：
[1] IMA, University of Michigan, Ann Arbor, MI
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1991年 / 42卷 / 02期
关键词：
D O I：
10.1007/BF00945798
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we will be interested in the behaviour of long chains of coupled gravitational pendula. We will prove existence and uniqueness of periodic solutions for such chains under periodic forcing and will prove that under some smoothness assumptions the chain behaves as an uncoupled one. We will also analyse a more general class of differential difference equations and prove existence and unicity results for periodic solutions.
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页码：264 / 279
页数：16
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