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A Minimum-Maximum Problem for Differential Expressions

Published online by Cambridge University Press:  20 November 2018

D. S. Carter
D. S. Carter*
Affiliation:
Los Alamos Scientific Laboratory
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In the study of approximate methods for solving ordinary differential equations, an interesting question arises. To state it roughly for a single first order expression, let y0(t) be the solution of the equation

(1.1)

which satisfies the initial condition y(a) = na. Let nb be an approximation to the value of y0 at a later time, t = b.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 132 - 140
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Birkhoff, G. D. and Langer, R. E., The boundary problems and developments associated with a system of ordinary differential equations of the first order, Proc. Amer. Acad. Arts Sci. 58 (1923), 345–424.Google Scholar
2. McShane, E. J., Integration (Princeton, 1944).Google Scholar