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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 4, Pages 916–927 (Mi smj1888)  
This article is cited in 5 scientific papers (total in 5 papers)

Systems of degenerate differential equations in Banach spaces

M. V. Falaleev, O. V. Korobova

Irkutsk State University
Full-text PDF (321 kB) Citations (5)
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Abstract: We consider systems of degenerate differential equations in Banach spaces of a special form. The main instrument of research is the technique of distributions in Banach spaces; namely, the construction of a fundamental operator function introduced by the first author. We translate the results obtained previously for a single equation to the systems of various types and illustrate them with examples.
Keywords: distribution, fundamental operator function, index-zero Fredholm operator.
Received: 29.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 4, Pages 734–743
DOI: https://doi.org/10.1007/s11202-008-0070-4
Bibliographic databases:
UDC: 517.983.51
Language: Russian
Citation: M. V. Falaleev, O. V. Korobova, “Systems of degenerate differential equations in Banach spaces”, Sibirsk. Mat. Zh., 49:4 (2008), 916–927; Siberian Math. J., 49:4 (2008), 734–743
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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