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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 3–14
(Mi smj2173)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj2173 https://www.mathnet.ru/eng/smj/v52/i1/p3
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