descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1983 English Publisher:Oxford University Press (OUP)Journal:IMA Journal of Applied Mathematics, volume 31, pages 169-182 (issn: 0272-4960, eissn: 1464-3634,

Authors: Colin Atkinson; F. G. Leppington;

doi: 10.1093/imamat/31.3.169

The Asymptotic Solution of Some Integral Equations

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Abstract

Asymptotic ''outer'' and ''inner'' solutions are obtained for the following two integral equations: \(\int^{1}_{-1}k(w,t)B(w)dw=1\), \((| t|0\) is a small parameter.

Related Organizations

Imperial College London
United Kingdom

Keywords

small parameter, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Asymptotic ''outer'' and ''inner'' solutions, Asymptotics of solutions to integral equations, Wiener-Hopf technique

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