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IMA Journal of Applied Mathematics 1971 7(3):324-330; doi:10.1093/imamat/7.3.324
© 1971 by Institute of Mathematics and its Applications
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Error Bounds and Variational Methods for Non-linear Differential and Integral Equations

A. M. ARTHURS and C. W. COLES

Department of Mathematics, University of York Heslington, York, England

Error bounds for non-linear differential and integral equations are derived from the theory of complementary variational principles. The results are illustrated by the Liouville and Poisson—Boltzmann equations and by a non-linear integral equation which arises in communication theory.


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