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III.—The Simplest Form of Second-Order Linear Differential Equation, with Periodic Coefficient, having Finite Singularities*
Published online by Cambridge University Press: 14 February 2012
Synopsis
A differential equation of the second order, arising in problems of disturbed oscillation, such as occur in frequency modulation, is considered. The nature of its solutions is examined by the method of continued fractions. The cases in which the solutions are periodic, and the regions of stability and instability (lability), are determined according to the values taken by the two parameters involved.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 63 , Issue 1 , 1950 , pp. 27 - 51
- Copyright
- Copyright © Royal Society of Edinburgh 1950