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Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 277–285
DOI: https://doi.org/10.4213/mzm10174 (Mi mzm10174) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space

V. E. Slyusarchuk

Ukranian State Academy of Water Economy
Full-text PDF (466 kB) Citations (8)
References:
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DOI: https://doi.org/10.4213/mzm10174
Abstract: Conditions for the existence of almost-periodic solutions of nonlinear almost-periodic difference equations with continuous argument in a Banach space are obtained. These conditions do not involve the H-classes of these equations.
Keywords: nonlinear almost-periodic difference equation, almost-periodic solution, compact set, Banach space.
Received: 23.11.2012
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 268–274
DOI: https://doi.org/10.1134/S0001434615010289
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. E. Slyusarchuk, “Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space”, Mat. Zametki, 97:2 (2015), 277–285; Math. Notes, 97:2 (2015), 268–274
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm10174
  • https://doi.org/10.4213/mzm10174
  • https://www.mathnet.ru/eng/mzm/v97/i2/p277
    • This publication is cited in the following 8 articles:
    1. V. Yu. Slyusarchuk, “Conditions for the Existence of Solutions of Difference Equations in the Metric Space of Bounded Sequences”, J Math Sci, 278:6 (2024), 1092  crossref
    2. M. I. Kamenskii, V. V. Obukhovskii, G. Petrosyan, “On Almost Periodic Trajectories of Control Systems with Feedback in the Form of Sweeping Processes”, Math. Notes, 114:1 (2023), 85–91  mathnet  crossref  crossref  mathscinet
    3. V. Yu. Slyusarchuk, “Almost Periodic Solutions of Differential Equations”, J Math Sci, 254:2 (2021), 287  crossref
    4. Qu H., Wang L., “Asymptotical Stability and Asymptotic Periodicity For the Lasota-Wazewska Model of Fractional Order With Infinite Delays”, Quaest. Math., 43:8 (2020), 1091–1107  crossref  mathscinet  isi
    5. V. Yu. Slyusarchuk, “Representation of Bounded Solutions of Linear Discrete Equations”, J Math Sci, 249:4 (2020), 673  crossref
    6. V. Yu. Slyusarchuk, “Favard-Amerio theory for almost periodic functional-differential equations without using the H-classes of those equations”, Ukrainian Math. J., 69:6 (2017), 916–932  crossref  mathscinet  isi  scopus
    7. V. Yu. Slyusarchuk, “Conditions of Solvability of Functional Equations with Differentiable λ-Injective Operator”, J Math Sci, 226:3 (2017), 296  crossref
    8. V. E. Slyusarchuk, “Almost-periodic solutions of discrete equations”, Izv. Math., 80:2 (2016), 403–416  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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