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Results in Mathematics

, Volume 63, Issue 3–4, pp 1057–1070 | Cite as

The Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions and Eigenparameter-Dependent Boundary Conditions

  • Ji-jun Ao
  • Jiong Sun
  • Mao-zhu Zhang
Article

Abstract

We study the finite spectrum of Sturm–Liouville problems with transmission conditions and eigenparameter-dependent boundary conditions. For any positive integers m and n, we construct a class of regular Sturm–Liouville problems with transmission conditions and eigenparameter-dependent boundary conditions, which have at most m + n + 4 eigenvalues.

Mathematics Subject Classification

Primary 34B24 34L15 Secondary 34L05 

Keywords

Sturm–Liouville problems Eigenvalue Finite spectrum Transmission conditions Eigenparameter-dependent boundary conditions 

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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.School of Mathematical SciencesInner Mongolia UniversityHohhotChina
  2. 2.College of SciencesInner Mongolia University of TechnologyHohhotChina
  3. 3.School of Mathematics and System SciencesTaishan UniversityTaianChina

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