Error Bounds and Variational Methods for Non-linear Differential and Integral Equations

1 June 1971

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 7 (3) , 324-330
https://doi.org/10.1093/imamat/7.3.324

Abstract

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.

Keywords

VARIATIONAL METHODS
INTEGRAL EQUATIONS
ERROR BOUNDS
LINEAR DIFFERENTIAL
BOUNDS AND VARIATIONAL

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