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Izvestiya: Mathematics, 2013, Volume 77, Issue 1, Pages 3–19
DOI: https://doi.org/10.1070/IM2013v077n01ABEH002626 (Mi im7800) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects

V. B. Didenko

Voronezh State University
English version PDF (294 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM2013v077n01ABEH002626
Abstract: We obtain necessary and sufficient conditions for the continuous invertibility and the Fredholm property of operators generated by a family of evolution operators, with boundary conditions given by a linear relation and impulse effects also given by a linear relation.
Keywords: continuous invertibility, Fredholm property, family of evolution operators, linear relation, impulse effect.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00378
Received: 09.06.2011
Revised: 18.11.2011
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 34A37; Secondary 47E05, 93B99
Language: English
Original paper language: Russian
Citation: V. B. Didenko, “On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects”, Izv. Math., 77:1 (2013), 3–19
Citation in format AMSBIB
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\by V.~B.~Didenko
\paper On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects
\jour Izv. Math.
\yr 2013
\vol 77
\issue 1
\pages 3--19
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  • https://doi.org/10.1070/IM2013v077n01ABEH002626
  • https://www.mathnet.ru/eng/im/v77/i1/p5
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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