Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions

Betty Jean Harmsen, Aihua Li

Research output: Contribution to journalArticle

9 Scopus citations


This paper deals with discrete second order Sturm-Liouville problems where the parameter that is part of the Sturm-Liouville difference equation appears nonlinearly in the boundary conditions. The operator is extended to a self-adjoint operator and an expansion theorem is proved.

Original languageEnglish
Pages (from-to)639-653
Number of pages15
JournalJournal of Difference Equations and Applications
Issue number7
Publication statusPublished - 1 Jul 2007



  • Boundary value problem
  • Difference equation
  • Discrete Sturm-Liouville problem
  • Parameter in the boundary conditions

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