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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 4, Pages 916–927
(Mi smj1888)
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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
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
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
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https://www.mathnet.ru/eng/smj1888 https://www.mathnet.ru/eng/smj/v49/i4/p916
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Abstract page: | 460 | Full-text PDF : | 113 | References: | 70 | First page: | 2 |
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