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Null Trigonometric Series inDifferential Equations

Published online by Cambridge University Press:  20 November 2018

Charles Walmsley*
Affiliation:
Dalhousie University
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In this paper it is shown how trigonometric series which are Cesàro-summable to zero may be used to solve differential equations. The explicit solution of the general ordinary linear equation with constant coefficients is found in terms of trigonometric series and special cases are dealt with.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1953