Finite-difference proof of the completeness of eigenfunctions of the Sturm-Liouville operator in conservative form

DOI10.1134/S0965542515010029zbMath1323.65088MaRDI QIDQ2354411

Elshad H. Eyvazov, Araz R. Aliev

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergencefinite difference methodSturm-Liouville operatorcompleteness of eigenfunctionsLevitan's methodself-adjoint finite difference schemes

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (1)

Identification of fixedness and loading of an end of the Euler–Bernoulli beam by the natural frequencies of its vibrations

Cites Work

• On coercive estimates of solutions of difference equations
• Approximate computation of eigenvalues and eigenfunctions of Sturm-Liouville differential operators by applying the theory of regularized traces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite-difference proof of the completeness of eigenfunctions of the Sturm-Liouville operator in conservative form