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＜technical report＞
Numerical verification method for solutions of the perturbed Gelfand equation

Creator	Creator Name Minamoto, Teruya 皆本, 晃弥 Affiliation Affiliation Name Department of Informatics, Kyushu University 九州大学大学院システム情報科学研究院情報理学部門
	Creator Name Yamamoto, Nobito 山本, 野人 Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学府
	Author PID K000694 Creator Name Nakao, Mitsuhiro T. 中尾, 充宏 Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学府
Language	English
Publisher	Department of Informatics, Kyushu University
Publisher	九州大学大学院システム情報科学研究院情報理学部門
Date	1998-03
Source Title	DOI Technical Report
Vol	147
Publication Type	Accepted Manuscript
Access Rights	open access
Related DOI	DOI Technical Report \|\| 147
Related DOI	http://www.i.kyushu-u.ac.jp/research/report.html
Related URI	DOI Technical Report \|\| 147
Related URI	http://www.i.kyushu-u.ac.jp/research/report.html
Relation	DOI Technical Report \|\| 147
Relation	http://www.i.kyushu-u.ac.jp/research/report.html
Abstract	A numerical verification method for radially symmetric solutions of the perturbed Gelfand equation is presented for the case in which this equation possesses turning points. We use Nakao's method with... local uniqueness to enclose the continua of solutions and a bordering algorithm in order to treat a turning point. We describe verification procedures in detail and give a numerical example.show more

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Details

Record ID	3015
Peer-Reviewed	Unrefereed
Subject Terms	Numerical verification
	Perturbed Gelfand equation
	Fixed point theorem
	Implicit function theorem
Type	テクニカルレポート
Created Date	2009.04.22
Modified Date	2018.08.31