On two classes of third order boundary value problems with finite spectrum

Document Type: Research Paper

Author

School of Mathematical Sciences‎, ‎Inner Mongolia University‎, ‎Hohhot 010021‎, ‎China‎ and College of Sciences‎, ‎Inner Mongolia University of Technology‎, ‎Hohhot 010051‎, ‎China.

Abstract

‎The spectral analysis of two classes of third order boundary value problems is investigated‎. ‎For every positive integer $m$ we construct two classes of regular third order boundary value problems with at most $2m+1$‎ ‎eigenvalues‎, ‎counting multiplicity‎. ‎These kinds of finite spectrum results are previously known only for even order boundary value problems‎.

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Main Subjects


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Volume 43, Issue 5
September and October 2017
Pages 1089-1099
  • Receive Date: 08 November 2015
  • Revise Date: 02 May 2016
  • Accept Date: 02 May 2016