We present methods for constructing solutions to linear functional equations and discuss applications to an inverse problem for a differential-difference equation. Bibliography: 11 titles.
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References
M. Kuczma, Functional Equations in a Single Variable, Polish Sci. Publ., Warszawa (1968).
M. Kuczma, B. Choczewski, and R. Ger, Iterative Functional Equations, Cambridge Univ. Press, Cambridge etc. (1990).
G. P. Pelyukh and A. N. Sharkovskii, Introduction to the Theory of Functional Equations [in Russian], Naukova Dumka, Kiev (1974).
J. Aczél and J. Dhombres, Functional Equations in Several Variables with Applications to Mathematics, Information Theory and to the Natural and Social Sciences, Cambridge Univ. Press, Cambridge etc. (1989).
B. Brive, “Sums of an entire function in certain weighted L 2 spaces,” Publ. Mat. Barc. 47, No. 1, 211–236 (2003).
V. I. Arnold, Supplementary Chapters to the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1978).
J. W. Forrester, World Dynamics, Pegasus Communications (1971).
S. A. Makhov, “Mathematical modelling of the world economics and sustainable development based on the model of Forrester” [in Russian], In: News in Synergetics. New Actuality. New Problems. New Generation, Nauka, Moscow (2007).
R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York etc. (1963).
S. P. Kurdyumov, G. G. Malinetskiy, A. B. Potapov, and A. A. Samarskiy, “The structures in nonlinear medium” [in Russian], In: Computers and Nonlinear Phenomena, Nauka, Moscow (1988).
T. S. Akhromeeva, S. P. Kurdyumov, and G. G. Malinetskiy, “Paradoxes of the world of the unsteady structures” [in Russian], In: Computers and Nonlinear Phenomena, Nauka, Moscow (1988).
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 15, No. 4, 2015, pp. 12-23.
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Anikonov, Y.E. Remarks on Functional Equations and Applications. J Math Sci 221, 745–757 (2017). https://doi.org/10.1007/s10958-017-3263-1
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DOI: https://doi.org/10.1007/s10958-017-3263-1