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On the asymptotic solutions of a class of ordinary differential equations of the fourth order. I. Existence of regular formal solutions

Data up to Jan 2025

Published1960
Citations27
References14

Total Citations Per Year

Abstract

References (14)

The theory of hydrodynamic stability

1955 • 1,507 citations

The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point

1949 • 176 citations

Asymptotic Solution of the Differential Equation of Hydrodynamic Stability in a Domain Containing A Transition Point

1953 • 49 citations

Asymptotic solutions of u iv +λ 2(zu″+αu′+βu)=0 for large ¦λ¦

1957 • 45 citations

A Study of the Solutions of the Differential Equation y (4) + λ 2 (xy � � + y) = 0 For Large Values of λ

1950 • 36 citations

The solutions of the differential equation v‴+λ2zv′+3μλ2v=0

1955 • 30 citations

The Asymptotic Solutions of Ordinary Linear Differential Equations of the Second Order, With Special Reference to a Turning Point

1949 • 30 citations

On the asymptotic solutions of a class of ordinary differential equations of the fourth order, with special reference to an equation of hydrodynamics

1957 • 27 citations

On the instability of laminar flow and its transition to turbulence

1958 • 23 citations

On the asymptotic forms of the solutions of ordinary linear differential equations of the third order in a region containing a turning point

1955 • 19 citations

Formal solutions and a related equation for a class of fourth order differential equations of a hydrodynamic type

1959 • 13 citations

On the Asymptotic Forms of the Solutions of Ordinary Linear Differential Equations of the Third Order in a Region Containing a Turning Point

1955 • 7 citations

On the Asymptotic Solutions of a Class of Ordinary Differential Equations of the Fourth Order, with Special Reference to an Equation of Hydrodynamics

1957 • 6 citations

Formal Solutions and a Related Equation For a Class of Fourth Order Differential Equations of a Hydrodynamic Type

1959 • 1 citations

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