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Literature cited
A. Halanay and D. Wexler, The Qualitative Theory of Systems with Impulse [Russian translation], Mir, Moscow (1971).
V. E. Slyusarchuk and F. F. Yasko, “On the representation of solutions of nonhomogeneous discrete linear systems,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 1, 33–36 (1982).
É. Mukhamadiev, “On the invertibility of functional operators in the space of bounded functions on the axis,” Mat. Zametki,11, No. 3, 269–274 (1972).
V. E. Slyusarchuk, “On the bounded solutions of discrete nonlinear almost-periodic systems,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 520–522 (1979).
V. E. Slyusarchuk, “Invertibility of difference operators,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 11, 24–27 (1980).
V. E. Slyusarchuk, “Invertibility of almost-periodic c-continuous functional operators,” Mat. Sb.,116, No. 4, 483–501 (1981).
N. Bourbaki, Spectral Theory [Russian translation], Mir, Moscow (1972).
V. E. Slyusarchuk, “The integral representation of c-continuous linear operators,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 8, 34–37 (1981).
V. E. Slyusarchuk, “Estimates of spectra and invertibility of functional operators,” Mat. Sb.,105, No. 2, 269–285 (1978).
V. E. Slyusarchuk, “Invertibility of nonautonomous linear difference operators in the space of the bounded functions on Z,” Mat. Zametki,37, No. 5, 662–666 (1985).
N. Wiener, The Fourier Integral and Certain of Its Applications, Cambridge Univ. Press (1933).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 210–215, March–April, 1987.
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Slyusarchuk, V.E. Representation of the bounded solutions of discrete linear system. Ukr Math J 39, 176–180 (1987). https://doi.org/10.1007/BF01057500
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DOI: https://doi.org/10.1007/BF01057500