Literature cited
A. D. Myshkis, “On certain problems in the theory of differential equations with deviating argument,” Usp. Mat. Nauk,32, No. 2, 173–202 (1977).
V. M. Borok and Ya. I. Zhitomirskii, “The Cauchy problem for systems of linear partial differential equations that are functional dependent on a parameter,” Differents. Uravn.,18, No. 6, 1000–1005 (1982).
N. N. Chaus, “On the uniqueness of the solution of a Cauchy problem for a differential equation with constant coefficients,” Ukr. Mat. Zh.,16, No. 3, 417–421 (1964).
G. N. Zolotarev, “On upper estimates of uniqueness classes of solutions of the Cauchy problem for systems of partial differential equations,” Nauch. Dokl. Vyssh. Shk., No. 2, 37–40 (1958).
I. M. Gel'fand and G. E. Shilov, Generalized Functions. Vol. 2: Spaces of Fundamental and Generalized Functions, Academic Press, New York (1968).
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Translated from Teoriya Funktskii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 46, pp. 3–8, 1986.
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Borok, V.M., Zhitomirskii, Y.I. Decreasing solutions of differential equations that are functionally dependent on a parameter. J Math Sci 48, 495–500 (1990). https://doi.org/10.1007/BF01095615
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DOI: https://doi.org/10.1007/BF01095615