Riesz bases of solutions of Sturm-Liouville equations

  • Xionghui He
  • Hans Volkmer


This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions. The investigation is based on the stability of Riesz bases of cosines and sines in the Hibert space L2[0,π].

Math Subject Classifications

42C15 34L10 

Keywords and Phrases

Riesz bases of sines and cosines Sturm-Liouville equations 


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Copyright information

© Birkhäuser Boston 2001

Authors and Affiliations

  • Xionghui He
    • 1
    • 2
  • Hans Volkmer
    • 3
  1. 1.Department of Mathematical SciencesUniversity of Wisconsin-MilwaukeeMilwaukee
  2. 2.Department of Mathematics and Computer ScienceLambuth UniversityJackson
  3. 3.Department of Mathematical SciencesUniversity of Wisconsin-MilwaukeeMilwaukee

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