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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 416, Pages 91–97 (Mi znsl5695)  
This article is cited in 3 scientific papers (total in 3 papers)

On entire solutions of exponential type of some implicit linear differential-difference equation in a Banach space

S. L. Gefter, T. E. Stulova

Karazin Kharkiv National University, Faculty of Mathematics and Mechanics, Kharkiv, Ukraine
Full-text PDF (200 kB) Citations (3)
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Abstract: Let $A$ be a closed linear operator on a Banach space with a possibly domain. Entire solutions of exponential type of the linear differential-difference equation $w'(z)=Aw(z-h)+f(z)$ are studied nondense. Assuming that operator $A$ has a bounded inverse, the well-posedness of this equation in a special space of entire $E$-valued function is proved.
Key words and phrases: difference-differencial equation, holomorphic and entire solutions, closed linear operator, spectral radius.
Received: 25.05.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 4, Pages 541–545
DOI: https://doi.org/10.1007/s10958-014-2060-3
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: S. L. Gefter, T. E. Stulova, “On entire solutions of exponential type of some implicit linear differential-difference equation in a Banach space”, Investigations on linear operators and function theory. Part 41, Zap. Nauchn. Sem. POMI, 416, POMI, St. Petersburg, 2013, 91–97; J. Math. Sci. (N. Y.), 202:4 (2014), 541–545
Citation in format AMSBIB
\Bibitem{GefStu13}
\by S.~L.~Gefter, T.~E.~Stulova
\paper On entire solutions of exponential type of some implicit linear differential-difference equation in a~Banach space
\inbook Investigations on linear operators and function theory. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 416
\pages 91--97
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5695}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 4
\pages 541--545
\crossref{https://doi.org/10.1007/s10958-014-2060-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922073541}
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  • https://www.mathnet.ru/eng/znsl/v416/p91
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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