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Bounded and periodic solutions of a difference equation and its stochastic analogue in Banach space

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Publication:1176944
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DOI10.1007/BF01066900zbMath0735.47007OpenAlexW2089544654MaRDI QIDQ1176944

S. Singh

Publication date: 25 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01066900


zbMATH Keywords

bounded operatorsdifference equationclosed operatorB-valued random processexistence of bounded or periodic solutions


Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Additive difference equations (39A10) Equations and inequalities involving linear operators, with vector unknowns (47A50)


Related Items

Homotopy of curves and mappings and the Teichmüller metric ⋮ Bounded and summable solutions of a difference equation with piecewise-constant operator coefficients ⋮ Vandermonde operator and bounded solutions of difference equations ⋮ Exponentially dichotomous difference equations with piecewise constant operator coefficients ⋮ Necessary and sufficient conditions for the invertibility of piecewise-autonomous difference operators in the space of bounded two-sided sequences ⋮ Bounded (on \(\mathbb{Z}\)) solutions of one difference equation



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