Eigenvalues of fourth order Sturm-Liouville problems using Fliess series

DOI10.1016/S0377-0427(98)00086-7zbMath0934.65083MaRDI QIDQ1298637

Bilal Chanane

Publication date: 25 April 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical resultseigenvaluesfourth-order Sturm-Liouville problemsFliess series

Mathematics Subject Classification ID

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

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Uses Software

• SLEUTH
• SLEDGE

Cites Work

• Unnamed Item
• Nonlinear control systems: An introduction
• Computing eigenvalues of singular Sturm-Liouville problems
• Automatic solution of Sturm-Liouville problems using the Pruess method
• Eigenvalues of fourth order Sturm-Liouville problems using Fliess series
• Integration of Paths--A Faithful Representation of Paths by Noncommutative Formal Power Series
• An algebraic approach to nonlinear functional expansions
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• Automatic Solution of the Sturm-Liouville Problem
• Algorithm 775
• Mathematical software for Sturm-Liouville problems
• Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations