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An Oscillation Theorem for a Sturm ‐Liouville Eigenvalue Problem
Author(s) -
Bohner Martin
Publication year - 1996
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19961820104
Subject(s) - sturm–liouville theory , mathematics , eigenfunction , eigenvalues and eigenvectors , oscillation (cell signaling) , oscillation theory , boundary value problem , mathematical analysis , comparison theorem , pure mathematics , differential equation , physics , ordinary differential equation , quantum mechanics , biology , genetics , collocation method
We consider a certain Sturm ‐ Liouville eigenvalue problem with self‐ adjoint and non ‐separated boundary conditions. We derive an explicit formula for the oscillation number of any given eigenfunction.