On necessary and sufficient conditions for numerical verification of double turning points

Ken'ichiro Tanaka*, Sunao Murashige, Shin'ichi Oishi

*この研究の対応する著者

研究成果: Article査読

5 被引用数 (Scopus)

抄録

This paper describes numerical verification of a double turning point of a nonlinear system using an extended system. To verify the existence of a double turning point, we need to prove that one of the solutions of the extended system corresponds to the double turning point. For that, we propose an extended system with an additional condition. As an example, for a finite dimensional problem, we verify the existence and local uniqueness of a double turning point numerically using the extended system and a verification method based on the Banach fixed point theorem.

本文言語English
ページ(範囲)537-554
ページ数18
ジャーナルNumerische Mathematik
97
3
DOI
出版ステータスPublished - 2004 5月 1

ASJC Scopus subject areas

  • 計算数学
  • 応用数学

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