The necessary and sufficient condition for solvability of a partial integral equation

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dc.creatorKh, Eshkabilov Yu.
dc.date2008-03-13
dc.date.accessioned2026-07-07T09:26:34Z
dc.date.available2026-07-07T09:26:34Z
dc.descriptionLet $T_1: L_2(Ω^2) \to L_2(Ω^2)$ be a partial integral operator with the kernel from $C(Ω^3)$ where $Ω=[a,b ]^ν.$ In this paper we investigate solvability of a partial integral equation $f-\varkappa T_1 f=g_0$ in the space $L_2(Ω^2)$ in the case when $\varkappa$ is a characteristic number. We proved the theorem describing the necessary and sufficient condition for solvability of the partial integral equation $f-\varkappa T_1 f=g_0.$
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0803.1899
dc.identifierhttp://arxiv.org/abs/0803.1899
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156797
dc.subjectFunctional Analysis
dc.titleThe necessary and sufficient condition for solvability of a partial integral equation
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