Initial conditions for integrable-square solutions to singular differential equations

DOI10.1017/S030821050001502XzbMath0748.34011OpenAlexW2023619329MaRDI QIDQ3991037

Philip W. Walker

Publication date: 28 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050001502x

zbMATH Keywords

initial conditionsinfinite intervaltrapezoidal ruleAdams-Moulton methodnumerical proceduressquare-integrablelinear, high order, homogeneous differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical analysis in abstract spaces (65J99)

Cites Work

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• Spectral theory of ordinary differential operators
• Hamiltonian systems of limit point or limit circle type with both endpoints singular
• n-th order Stieltjes differential-boundary operators and Stieltjes differential-boundary systems
• Numerical treatment of ordinary differential equations by extrapolation methods
• Some multistep formulae for special high order ordinary differential equations
• Some Remarks on Linear Ordinary Quasi-Differential Expressions
• Boundary conditions for differential operators with intermediate deficiency index
• A Vector-Matrix Formulation for Formally Symmetric Ordinary Differential Equations with Applications to Solutions of Integrable Square
• Modified Multistep Methods Based on a Nonpolynomial Interpolant

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