One class of solutions of Volterra equations with regular singularity

The Volterra integral equation of the second order with a regular singularity is considered. Under the conditions that a kernel K(x,t) is a real matrix function of order n×n with continuous partial derivatives up to order N+1 inclusively and K(0,0) has complex eigenvalues ν±i μ (ν>0), it is shown...

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Bibliographic Details
Date:1997
Main Authors: Krein, S.G., Sapronov, I.V.
Format: Article
Language:English
Published: Інститут математики НАН України 1997
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156280
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:One class of solutions of Volterra equations with regular singularity / S.G. KreinI, I.V. Sapronov // Український математичний журнал. — 1997. — Т. 49, № 3. — С. 424–432. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine