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Matematicheskie Zametki, 1971, Volume 9, Issue 2, Pages 161–170 (Mi mzm9655)  
A functional equation

V. S. Kozyakin

Voronezh State University
Full-text PDF (1136 kB)
Abstract: Existence theorems for and the determination of continuous solutions, defined on the real axis $R$, of the functional equation $f(t)=A[t,f(at-b),f(at-c)]$, where $a$, $b$ and $c$ are real parameters, $A: R\times E\times E\to E$ is a continuous operator, and $E$ is a Banach space.
Received: 26.11.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 2, Pages 95–100
DOI: https://doi.org/10.1007/BF01316987
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: V. S. Kozyakin, “A functional equation”, Mat. Zametki, 9:2 (1971), 161–170; Math. Notes, 9:2 (1971), 95–100
Citation in format AMSBIB
\Bibitem{Koz71}
\by V.~S.~Kozyakin
\paper A functional equation
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 2
\pages 161--170
\mathnet{http://mi.mathnet.ru/mzm9655}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=277944}
\zmath{https://zbmath.org/?q=an:0222.47006|0209.45703}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 2
\pages 95--100
\crossref{https://doi.org/10.1007/BF01316987}
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