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Further transformable nth order differential equations with transition points of particular order m

Published online by Cambridge University Press:  24 October 2008

John Heading
John Heading
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
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Extract

Further consideration is given to properties of the Stokes phenomenon associated with a class of nth order differential equations with transition points of order m (a rational fraction) at the origin. The systematic vanishing of the Stokes multipliers leads to the discovery of sets of equations that are transformable from certain specific values of m to particular lower values of m. A series of theorems in the theory of congruences is first proved, from which the main transformation theorem is then deduced. The theory is ifiustrated by various numerical examples.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 1 , January 1975 , pp. 145 - 157
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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