Even solutions of the Toda system with prescribed asymptotic behavior

Yong Liu

doi:10.3934/cpaa.2011.10.1779

Article Contents

2011, Volume 10, Issue 6: 1779-1790. Doi: 10.3934/cpaa.2011.10.1779

This issue Previous Article Theory of the NS-$\overline{\omega}$ model: A complement to the NS-$\alpha$ model Next Article A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear Neumann problems

Even solutions of the Toda system with prescribed asymptotic behavior

Yong Liu^1,

1.
Departamento de Ingeniería Matemática and CMM, (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago

Received: April 30, 2010

Revised: February 28, 2011

Published: October 2011

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Abstract

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.

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Mathematics Subject Classification: Primary: 34B30, 34E99, 35J60.

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References

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