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Proceedings of the American Mathematical Society

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A differentially algebraic elimination theorem with application to analog computability in the calculus of variations


Authors: Lee A. Rubel and Michael F. Singer
Journal: Proc. Amer. Math. Soc. 94 (1985), 653-658
MSC: Primary 12H05
MathSciNet review: 792278
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Abstract: An elimination theorem is proved in differential algebra, from which it follows that an analytic solution of virtually any ordinary differential equation that you can "write down" must actually solve an algebraic differential equation. As a corollary, it follows that the solutions of a large class of variational problems can be produced by an analog computer.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0792278-1
Article copyright: © Copyright 1985 American Mathematical Society