On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem

DOI10.1134/S0001434615030323zbMath1374.34353OpenAlexW1984539204MaRDI QIDQ2352614

T. M. Khapaeva, M. M. Khapaev

Publication date: 3 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615030323

zbMATH Keywords

functionalalgorithmeigenvalueDirichlet boundary conditionSturm-Liouville problemvariational methodeigenfunctionrandom search method``nminimize procedurefunction \(\cos(4x)\)function \(\sin((x-\pi)^2/\pi)\)nonisosceles triangleWolfram research

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Application of the variational method for solving inverse problems of optimal control

Cites Work

• An effective method of investigating the oscillations of substantially inhomogeneous distributed systems
• An introduction to the mathematical theory of inverse problems

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