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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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2002
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Online Access: | http://ndltd.ncl.edu.tw/handle/94637975113106707430 |
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
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