Geodesic
Some remarks on functional equations and on their applications
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 12-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we give methods of construction of solutions of linear functional equations and applications of obtained results to one inverse problem for differential-difference equation.
Keywords: functional equations, inverse problems, differential-difference equations. 
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Yu. E. Anikonov. Some remarks on functional equations and on their applications. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 12-23. http://geodesic.mathdoc.fr/item/VNGU_2015_15_4_a1/

[1] Kuczma M., Functional Equations in a Single Variable, Warszawa, 1968 | MR

[2] Kuczma M., Choczewski B., Ger R., Iterative Functional Equations, Cambridge University Press, 1990 | MR | Zbl

[3] G. P. Pelyukh, A. N. Sharkovskii, Introduction to the Theory of Functional Equations, Naukova dumka, Kiev, 1974 (in Russian)

[4] Aczel J., Dhombres J., Functional Equations in Several Variables, Cambridge University Press, 1989 | MR | Zbl

[5] Brive B., “Sums of Entire Function in Certain Weighted $L^{2}$ Spaces”, Publ. Mat., 41:1 (2003), 211–236 | DOI | MR

[6] V. I. Arnold, Ordinary Differential Equations, The MIT Press, 1978 | MR | MR

[7] J. W. Forrester, World Dynamics, Pegasus Communications, 1971

[8] S. A. Makhov, “Mathematical modelling of the world economics and sustainable development based on the model of Forrester”, Novoe v sinergetike. Novaya real'nost'. Novye problemy. Novoe pokolenie, Nauka, M., 2007 (in Russian)

[9] R. Bellman, K. L. Cooke,, Differential-Difference Equations, Academic Press, New York–London, 1963 | MR | MR | Zbl

[10] S. P. Kurdyumov, G. G. Malinetskiy, A. B. Potapov, A. A. Samarskiy, “The structures in nonlinear medium”, Komp'yutery i nelineynye yavleniya, Nauka, M., 1988 (in Russian)

[11] T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskiy, “Paradoxes of the world of the unsteady structures”, Komp'yutery i nelineynye yavleniya, Nauka, M., 1988 (in Russian)