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Investigation of the Structure of the Set of Continuous Solutions for Systems of Linear Functional-Difference Equations

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We establish the conditions of existence of continuous solutions for a certain class of systems of linear functional-difference equations and study the properties of these solutions.

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References

  1. G. D. Birkhoff, “General theory of linear difference equations,” Trans. Amer. Math. Soc., 12, 243–284 (1911).

    Article  MATH  MathSciNet  Google Scholar 

  2. R. P. Agarwal, Difference Equations and Inequalities: Theory, Methods, and Applications, Marcel Dekker, New York (2000).

    Google Scholar 

  3. W. J. Trjitzinsky, “Analytic theory of linear q-difference equations,” Theory, Methods Appl., 61, 1–38 (1933).

  4. D. I. Martynyuk, Lectures on the Qualitative Theory of Difference Equations [in Russian], Naukova Dumka, Kiev (1972).

    Google Scholar 

  5. A. A. Mirolyubov and M. A. Soldatov, Linear Inhomogeneous Difference Equations [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  6. G. P. Pelyukh, “On the theory of systems of linear difference equations with continuous argument,” Dokl. Akad. Nauk, 73, No. 2, 269–272 (2006).

    MathSciNet  Google Scholar 

  7. H. P. Pelyukh and O. A. Sivak, “On the structure of the set of continuous solutions of functional difference equations with linearly transformed argument,” Nelin. Kolyvannya, 13, No. 1, 75–95 (2010); English translation: Nonlin. Oscillations, 13, No. 1, 85–107 (2010).

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Authors and Affiliations

  1. “Kyiv Polytechnic Institute” Ukrainian National Technical University, Ukraine, 03056, Kyiv, Peremohy Avenue, 37

    T. O. Er’omina

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  1. T. O. Er’omina
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Translated from Neliniini Kolyvannya, Vol. 17, No. 3, pp. 341–350, July–September, 2014.

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Er’omina, T.O. Investigation of the Structure of the Set of Continuous Solutions for Systems of Linear Functional-Difference Equations. J Math Sci 212, 264–274 (2016). https://doi.org/10.1007/s10958-015-2663-3

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  • DOI: https://doi.org/10.1007/s10958-015-2663-3

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