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Solution of an integral equation

Published online by Cambridge University Press:  18 May 2009

J. S. Lowndes
Affiliation:
Department of Mathematics, University Of Strathclyde, Glasgow.
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In this paper we obtain the general solution of the equation

whose kernel is

where 0<α, β<1, μ, η, σ > 0, δ>0, are real parameters, z = max(x, y), φ(t) and g(y) are prescribed functions and ƒ(x) is to be determined.

Information

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978