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Almost periodic and N-periodic solutions of a difference equation

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Literature cited

  1. B. M. Levitan, Almost Periodic Functions, Gostekhizdat, Moscow (1953).

    Google Scholar 

  2. M.I. Kadetz, “Integration of almost periodic functions with values in a Banach space,” Funktsional Analiz i Ego Prilozhenia,3, No. 3 (1969).

  3. R. Doss, “On bounded functions with almost periodic differences,” Proc. Amer. Math. Soc.,12, 488–489 (1961).

    Google Scholar 

  4. B. R. Boles, “Generalization of two theorems of M. I. Kadetz on the indefinite integral of an abstract almost periodic function,” Matem. Zametki,9, No. 3 (1971).

  5. M. G. Lyubarskii, “The indefinite integral of an almost periodic function of Levitan,” Theory of Functions, Functional Analysis and Its Applications, No. 16, Izd-vo KhGU (1972).

  6. J. von Neumann, “Almost periodic functions in a group, I,” Trans. Amer. Math. Soc.,36, 445–492 (1934).

    Google Scholar 

  7. B. Ya. Levin, “On almost periodic functions of Levitan,” Ukrainsk. Matem. Zh., 1 No. 1 (1949).

  8. A. Pelczynski, “On B-spaces containing subspaces isomorphic to the space c0,” Bull. Acad. Polon. Sci.,5, No. 8, 797–798 (1957).

    Google Scholar 

  9. Ya. BT Tumarkin, “On locally convex spaces with a basis,” DAN SSSR,195, No. 6 (1970).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 193–198, March–April, 1973.

The author expresses his deepest gratitude to M. I. Kadetz for introducing the problem and directing the research.

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Dimitrov, D.B. Almost periodic and N-periodic solutions of a difference equation. Ukr Math J 25, 156–160 (1973). https://doi.org/10.1007/BF01096974

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