An extension of the Liouville–Green asymptotic formula for oscillatory second-order differential equations

DOI10.1017/S0308210500013755zbMath0577.34048MaRDI QIDQ3699196

J. S. Cassell

Publication date: 1985

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

zbMATH Keywords

Liouville-Green conditions

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

A repeated transformation in the asymptotic solution of linear differential systems ⋮ On the asymptotic properties of linear differential equations ⋮ Generalised Liouville-Green asymptotic approximations for second-order differential equations ⋮ The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −x^c(c ≦ 2)

Cites Work

• Asymptotic formulae for linear oscillations
• Asymptotic Formulae of Liouville-Green Type for Higher-Order Differential Equations
• The limit-point, limit-circle nature of rapidly oscillating potentials
• Asymptotic Integrations of Linear Differential Equations