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Remarks on Functional Equations and Applications

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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

  1. M. Kuczma, Functional Equations in a Single Variable, Polish Sci. Publ., Warszawa (1968).

  2. M. Kuczma, B. Choczewski, and R. Ger, Iterative Functional Equations, Cambridge Univ. Press, Cambridge etc. (1990).

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

  4. 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).

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  9. R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York etc. (1963).

  10. 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).

  11. 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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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, Novosibirsk, 630090, Russia

    Yu. E. Anikonov

  2. Novosibirsk State University, 2, ul. Pirogova, Novosibirsk, 630090, Russia

    Yu. E. Anikonov

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  1. Yu. E. Anikonov
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Correspondence to Yu. E. Anikonov.

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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

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