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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 11, Pages 40–53 (Mi ivm9728)

This article is cited in 1 paper

On delta-extension for a Noether operator

E. Tompé Weimbapoua, Abdourahmana, E. Kengneb

a University of Maroua, Maroua, Cameroon
b Zhejiang Normal University, School of Physics and Electronic Information Engineering, Jinhua, 321004 China

Abstract: We examine a third kind integral equation in the class of generalized functions. We show that the considered equation has similar solvability properties as the Fredholm equation of the second kind.

Keywords: integral equation of the third kind, characteristic numbers, fundamental functions, singular operator.

UDC: 517.929

Received: 26.12.2020
Revised: 30.03.2021
Accepted: 30.03.2021

DOI: 10.26907/0021-3446-2021-11-40-53


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:11, 34–45


© Steklov Math. Inst. of RAS, 2024