On the computation of a certain class of Hill determinants

DOI10.1016/0377-0427(86)90240-2zbMath0626.65071OpenAlexW1994720150MaRDI QIDQ580914

P. Phariseau, Luc T. Wille

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90240-2

zbMATH Keywords

Mathieu equationstability criteriaHill's equationinfinite determinants

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical computation of determinants (65F40) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

• On the stability of solutions of a second-order differential equation
• Stability criteria for generalized Mathieu equations
• Quantum mechanics of electrons in crystal lattices
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