Simplification of a linear ordinary differential equation of the \(n\)th order at a turning point

DOI10.1007/BF01262693zbMath0115.29903WikidataQ115393758 ScholiaQ115393758MaRDI QIDQ2625613

Yasutaka Sibuya

Publication date: 1963

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equations

Related Items

A turning point problem for a system of linear ordinary differential equations of the third order, An historical survey of ordinary linear differential equations with a large parameter and turning points, A turning point problem of an $n$-th order differential equation of hydrodynamic type

Cites Work

• The solutions of the differential equation \(v+\lambda^2zv'+3\mu\lambda^2v= 0\)
• The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point
• On the Asymptotic Solutions of a Class of Ordinary Differential Equations of the Fourth Order, with Special Reference to an Equation of Hydrodynamics
• Formal Solutions and a Related Equation For a Class of Fourth Order Differential Equations of a Hydrodynamic Type
• On the Asymptotic Solutions of a Class of Ordinary Differential Equations of the Fourth Order: I. Existence of Regular Formal Solutions
• On certain reduction theorems for systems of differential equations which contain a turning point
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