On a Singular Integrodifferential Equation arising from a Linearised Free Surface Problem

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dc.creatorMcLean, Patrick
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:13Z
dc.date.available2026-07-07T06:55:13Z
dc.descriptionA problem of linear surface waves discussed by Forbes(1984) initially gave rise to a singular integrodifferential equation over the real line. We have been able to transform this integrodifferential equation into a linear second order differential equation whose solution has been found explicitly in terms of the sine and cosine integral functions. Furthermore, we have been able to recover known results of physical interest using more simple techniques.
dc.description8 pages, 1 figure, draft
dc.identifierhttps://arxiv.org/abs/math/0512303
dc.identifierhttp://arxiv.org/abs/math/0512303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106210
dc.subjectClassical Analysis and ODEs
dc.subject76B07;34B40
dc.titleOn a Singular Integrodifferential Equation arising from a Linearised Free Surface Problem
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