Literature Cited
V. A. Ambartsumyan, "On the theory of brightness fluctuations in the Milky Way," Dokl. Akad. Nauk SSSR,44, 223–226 (1944).
K. Mahler, "On a special functional equation," J. London Math. Soc.,15, 115–123 (1940).
V. M. Polishchuk and A. N. Sharkovskii, "Representation of the solutions of linear differential-difference equations of neutral type," Differents. Uravn.,9, No. 9, 1627–1645 (1973).
E. Yu. Romanenko and A. N. Sharkovskii, "Asymptotic behavior of the solutions of linear functional-differential equations," in: Asymptotic Behavior of Solutions of Functional-Differential Equations [in Russian], Akad. Nauk UkrSSR, Inst. Mat., Kiev (1978), pp. 5–39.
T. Kato and J. B. McLeod, "The functional-differential equation y'(x) = ay(λx) + by(x)," Bull. Am. Math. Soc.,77, No. 6, 891–937 (1971).
I. Ts. Gokhberg and M. G. Krein, "Fundamental aspects of defect numbers, root numbers, and indices of linear operators," Usp. Mat. Nauk,12, No. 2, 43–118 (1957).
C. R. Adams, "On the linear ordinary q-difference equation," Ann. Math.,30, No. 2, 195–205 (1929).
G. D. Birkhoff and W. J. Trjitzinsky, "Analytic theory of singular difference equations," Acta Math.,60, 1–89 (1932).
G. A. Derfel’, "A certain class of functional-differential equations with a linearly transformed argument," Soobshch. Akad. Nauk GruzSSR,83, No. 3, 561–564 (1976).
G. A. Derfel’, "The behavior of solutions of functional and functional-differential equations with certain transformations of the argument," Ukr. Mat. Zh.,34, No. 3, 350–356 (1982).
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Karaganda State University. M. V. Lomonosov Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 24, No. 1, pp. 77–79, January–March, 1990.
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Derfel’, G.A., Molchanov, S.A. On T. Kato's problem regarding bounded solutions of differential-functional equations. Funct Anal Its Appl 24, 67–69 (1990). https://doi.org/10.1007/BF01077925
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DOI: https://doi.org/10.1007/BF01077925