Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems

DOI10.1016/S0893-9659(01)00159-8zbMath1023.34022OpenAlexW2035277217MaRDI QIDQ1861788

Bilal Chanane

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00159-8

zbMATH Keywords

eigenvalue problemsiterated integralsfourth-order Sturm-Liouville problemsFliess series

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points, Dependence of eigenvalues of \(2m\)th-order spectral problems, Differential quadrature method (DQM) and Boubaker polynomials expansion scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems, Eigenvalues of a class of regular fourth-order Sturm-Liouville problems, Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four, A new numerical method for solving high-order fractional eigenvalue problems, Accurate solutions of fourth order Sturm-Liouville problems, Numerical evaluation of the Evans function by Magnus integration, A simple approach for determining the eigenvalues of the fourth-order Sturm-Liouville problem with variable coefficients, On using Bernstein scheme for computation of the eigenvalues of fourth-order Sturm-Liouville problems

Uses Software

• SLEUTH

Cites Work

• Unnamed Item
• Eigenvalues of fourth order Sturm-Liouville problems using Fliess series
• Nonlinear control systems.
• Integration of Paths--A Faithful Representation of Paths by Noncommutative Formal Power Series
• Eigenvalues of Sturm-Liouville Problems Using Fliess Series
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• Automatic Solution of the Sturm-Liouville Problem
• Algorithm 775
• Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations