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Hill's Differential Equation

Published online by Cambridge University Press:  03 November 2016

N. W. McLachlan
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Extract

1. We deal with the equation

where ψ(ωt)is continuous, periodic in t with period 2π/ω a, k2 are real and positive, and

A stable (bounded) solution was given by Erdélyi in 1934 employing a complicated transformation and integral equations.

We shall obtain this solution by an elementary method, thereby reducing the analysis to one-third of its former length.

Type
Research Article
Information
The Mathematical Gazette , Volume 29 , Issue 284 , May 1945 , pp. 68 - 69
Copyright
Copyright © Mathematical Association 1945

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