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Sbornik: Mathematics, 2001, Volume 192, Issue 4, Pages 565–576
DOI: https://doi.org/10.1070/sm2001v192n04ABEH000559 (Mi sm559) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient conditions for the invertibility of the non-linear difference operator $(\mathscr Dx)(t)=x(t+1)-f(x(t))$ in the space of bounded continuous functions on the real axis

V. E. Slyusarchuk

Rovno State Technology University
English version PDF (165 kB) Citations (1)
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DOI: https://doi.org/10.1070/sm2001v192n04ABEH000559
Abstract: Necessary and sufficient conditions for the invertibility in the space of bounded continuous functions on $\mathbb R$ of the non-linear difference operator
$$ (\mathscr Dx)(t)=x(t+1)-f(x(t)), \qquad t\in\mathbb R, $$
with $f\colon\mathbb R\to\mathbb R$ a continuous map, are obtained.
Received: 28.05.1999 and 14.11.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 4, Pages 87–98
DOI: https://doi.org/10.4213/sm559
Bibliographic databases:
UDC: 517.9
MSC: Primary 47B38, 47A05; Secondary 46E15, 39A70
Language: English
Original paper language: Russian
Citation: V. E. Slyusarchuk, “Necessary and sufficient conditions for the invertibility of the non-linear difference operator $(\mathscr Dx)(t)=x(t+1)-f(x(t))$ in the space of bounded continuous functions on the real axis”, Mat. Sb., 192:4 (2001), 87–98; Sb. Math., 192:4 (2001), 565–576
Citation in format AMSBIB
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\paper Necessary and sufficient conditions for the invertibility of the non-linear difference operator $(\mathscr Dx)(t)=x(t+1)-f(x(t))$ in the space of bounded continuous functions on the real axis
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\yr 2001
\vol 192
\issue 4
\pages 87--98
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\pages 565--576
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  • https://www.mathnet.ru/eng/sm/v192/i4/p87
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:590
    Russian version PDF:252
    English version PDF:22
    References:56
    First page:2
     
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