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

author

  • J.J. Ao 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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Journal title

volume 43  issue 5

pages  1089- 1099

publication date 2017-10-01

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