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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2015 Volume 56, Number 6, Pages 1234–1248 (Mi smj2709)
This article is cited in 34 papers

On one homogeneous problem for the heat equation in an infinite angular domain

M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov

Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Abstract: We prove that the operator of a boundary value problem of heat conduction in an infinite angular domain is Noetherian with index $-1$ in the class of growing functions.

Keywords: heat conduction, Volterra equation, Abel equation, index.

UDC: 517.95

Received: 22.12.2014

DOI: 10.17377/smzh.2015.56.603


 English version: Siberian Mathematical Journal, 2015, 56:6, 982–995

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© Steklov Math. Inst. of RAS, 2024