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A repeated transformation in the asymptotic solution of linear differential systems
Published online by Cambridge University Press: 14 November 2011
Synopsis
A sequence of transformations of the type Y = (I + o(1))Z is developed for the system Y′(x) = {Λ(x) + R(x)}Y(x), where Λ is diagonal. The transformations bring in the derivatives of R in succession until the Levinson form is obtained when a given derivative is reached. This theory covers rapidly varying coefficients and it extends results which are known for constant Λ.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 173 - 188
- Copyright
- Copyright © Royal Society of Edinburgh 1986
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