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Complementary bivariational principles for linear problems involving non-self-adjoint operators

Published online by Cambridge University Press:  14 November 2011

R. J. Cole
R. J. Cole
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow, Scotland
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Synopsis

Bivariational principles are constructed that yield upper and lower bounds to the quantity 〈g0, f〉, where f is the solution of the equation f0−Tf = 0, g0 is a given function and T is a non-self-adjoint linear operator from a Hilbert space into itself. The theory is illustrated by an integral equation of Fredholm type.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 1-2 , 1980 , pp. 115 - 128
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

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