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Contemporary Mathematics. Fundamental Directions, 2021, Volume 67, Issue 2, Pages 208–236
DOI: https://doi.org/10.22363/2413-3639-2021-67-2-208-236 (Mi cmfd415) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Right-sided invertibility of binomial functional operators and graded dichotomy

A. B. Antonevich

Belarusian State University, Minsk, Belarus
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DOI: https://doi.org/10.22363/2413-3639-2021-67-2-208-236
Abstract: In this paper, we consider the right-sided invertibility problem for binomial functional operators. It is known that such operators are invertible iff there exists dichotomy of solutions of the homogeneous equation. New property of solutions of the homogeneous equation named graded dichotomy is introduced and it is proved that right-sided invertibility of binomial functional operators is equivalent to existence of graded dichotomy.
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. B. Antonevich, “Right-sided invertibility of binomial functional operators and graded dichotomy”, Dedicated to the memory of Professor N. D. Kopachevsky, CMFD, 67, no. 2, PFUR, M., 2021, 208–236
Citation in format AMSBIB
\Bibitem{Ant21}
\by A.~B.~Antonevich
\paper Right-sided invertibility of binomial functional operators and graded dichotomy
\inbook Dedicated to the memory of Professor N. D. Kopachevsky
\serial CMFD
\yr 2021
\vol 67
\issue 2
\pages 208--236
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd415}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-2-208-236}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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