EVEN SOLUTIONS OF THE TODA SYSTEM WITH PRESCRIBED ASYMPTOTIC BEHAVIOR

被引：0
|
作者：
Liu, Yong [1 ,2 ]
机构：
[1] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[2] Univ Chile, CMM, UMI CNRS 2807, Santiago, Chile
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2011年 / 10卷 / 06期
关键词：
Toda system; even solution; asymptotic behavior; LATTICE;
D O I：
10.3934/cpaa.2011.10.1779
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Every solution of the Toda system, describing the behavior of a finite number of mass points on the line, each one interacting with its neighbors, is asymptotically linear at infinity. We show the existence and uniqueness of even solution with suitable prescribed asymptotic behavior, by analyzing a system of algebraic equations derived from the relation between the slopes and the intercepts of the asymptotic lines.
引用
收藏
页码：1779 / 1790
页数：12
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