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Mathematics of the USSR-Izvestiya, 1978, Volume 12, Issue 2, Pages 357–370
DOI: https://doi.org/10.1070/IM1978v012n02ABEH001858 (Mi im1770) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Linear functional equations

L. P. Kuchko
English version PDF (615 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1978v012n02ABEH001858
Abstract: Necessary and sufficient conditions are found for the existence and uniqueness of local $C^\infty$ solutions of multidimensional linear functional equations of the form
$$ \varphi(\Lambda x)-Q\varphi(x)=\gamma(x). $$

Sufficient conditions for local $C^\infty$ solvability are also obtained for equations with variable coefficients.
Bibliography: 5 titles.
Received: 04.01.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1978, Volume 42, Issue 2, Pages 379–395
Bibliographic databases:
UDC: 517.948+512.13
MSC: 39A25, 39A30
Language: English
Original paper language: Russian
Citation: L. P. Kuchko, “Linear functional equations”, Izv. Akad. Nauk SSSR Ser. Mat., 42:2 (1978), 379–395; Math. USSR-Izv., 12:2 (1978), 357–370
Citation in format AMSBIB
\Bibitem{Kuc78}
\by L.~P.~Kuchko
\paper Linear functional equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1978
\vol 42
\issue 2
\pages 379--395
\mathnet{http://mi.mathnet.ru/im1770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=516185}
\zmath{https://zbmath.org/?q=an:0418.39003|0432.39003}
\transl
\jour Math. USSR-Izv.
\yr 1978
\vol 12
\issue 2
\pages 357--370
\crossref{https://doi.org/10.1070/IM1978v012n02ABEH001858}
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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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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:303
    Russian version PDF:121
    English version PDF:8
    References:50
    First page:1
     
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