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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 1, Pages 59–71 (Mi ivm7172)
This article is cited in 3 papers

A multiparametric family of solutions to a singular Volterra integral equation in a Banach space

I. V. Sapronov

Chair of Mathematics, Voronezh State Forestry Academy, Voronezh, Russia

Abstract: We construct a multiparametric set of solutions to a singular Volterra integral equation of the first kind with a sufficiently smooth kernel in the space of integrable functions whose values belong to a Banach space.

Keywords: integral equation, Banach space, operator pencil, spectrum.

UDC: 517.968

Received: 02.06.2009


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:1, 50–61

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© Steklov Math. Inst. of RAS, 2024