the number of peaks of the first eigenfunction of the Sturm-Liouville eigenvalue problem

碩士 === 東吳大學 === 數學系 === 90 === Abstract: This paper is concerned with the number of peaks of the graph of the 1st eigenfunction of the Sturm-Lionville equation with Dirichlet boundary condition.We prove that under some conditions of the coefficient function,the graph of the f...

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Bibliographic Details
Main Authors: Chin-Fei Huang, 黃琴斐
Other Authors: Chie-Ping Chu
Format: Others
Language:en_US
Published: 2002
Online Access:http://ndltd.ncl.edu.tw/handle/94637975113106707430
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Summary:碩士 === 東吳大學 === 數學系 === 90 === Abstract: This paper is concerned with the number of peaks of the graph of the 1st eigenfunction of the Sturm-Lionville equation with Dirichlet boundary condition.We prove that under some conditions of the coefficient function,the graph of the first eigenfunction has only one peak. Also some examples are given that more than one peaks occur