Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:2-1-4
Session:
Number:2-1-4-6
Numerical Method of Proving Existence of Periodic Solution for Nonlinear ODE using Affine Arithmetic and Green’s Function Expression
Yuchi Kanzawa, Shin’ichi Oishi,
pp.753-756
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
In this paper, a method is proposed to prove the existence of solutions for nonlinear ordinary equations on an essentially bounded functional space. For that, Affine Arithmetic extended to the functional space. Green’s Function Expression is also used to prevent from overestimating integral arithmetic with Affine Arithmetic.