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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 3–14 (Mi smj2173)  
This article is cited in 18 scientific papers (total in 18 papers)

On a particular second kind Volterra integral equation with a spectral parameter

D. M. Akhmanovaa, M. T. Dzhenalievb, M. I. Ramazanova

a E. A. Buketov Karaganda State University, Karaganda, Kazakhstan
b Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan, Almaty, Kazakhstan
Full-text PDF (315 kB) Citations (18)
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Abstract: We study the solvability questions for a particular second kind Volterra integral equation with a spectral parameter $\lambda$ arising in the theory of boundary value problems for the spectrally loaded parabolic equations in unbounded domains when the order of a derivative in a loaded summand agrees with that in the differential part of the equation.
Keywords: Volterra integral equation, particular kernel, Riemann problem, index.
Received: 16.10.2008
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 1, Pages 1–10
DOI: https://doi.org/10.1134/S0037446606010010
Bibliographic databases:
Document Type: Article
UDC: 517.956+517.968.2
Language: Russian
Citation: D. M. Akhmanova, M. T. Dzhenaliev, M. I. Ramazanov, “On a particular second kind Volterra integral equation with a spectral parameter”, Sibirsk. Mat. Zh., 52:1 (2011), 3–14; Siberian Math. J., 52:1 (2011), 1–10
Citation in format AMSBIB
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\vol 52
\issue 1
\pages 3--14
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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