Journal of Mathematical Sciences

, Volume 212, Issue 3, pp 264–274 | Cite as

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

  • T. O. Er’omina

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.


Difference Equation Vector Function Formal Solution Continuous Solution Inhomogeneous Equation 
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  1. 1.
    G. D. Birkhoff, “General theory of linear difference equations,” Trans. Amer. Math. Soc., 12, 243–284 (1911).MATHMathSciNetCrossRefGoogle Scholar
  2. 2.
    R. P. Agarwal, Difference Equations and Inequalities: Theory, Methods, and Applications, Marcel Dekker, New York (2000).Google Scholar
  3. 3.
    W. J. Trjitzinsky, “Analytic theory of linear q-difference equations,” Theory, Methods Appl., 61, 1–38 (1933).Google Scholar
  4. 4.
    D. I. Martynyuk, Lectures on the Qualitative Theory of Difference Equations [in Russian], Naukova Dumka, Kiev (1972).Google Scholar
  5. 5.
    A. A. Mirolyubov and M. A. Soldatov, Linear Inhomogeneous Difference Equations [in Russian], Nauka, Moscow (1986).Google Scholar
  6. 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).MathSciNetGoogle Scholar
  7. 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).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • T. O. Er’omina
    • 1
  1. 1.“Kyiv Polytechnic Institute” Ukrainian National Technical UniversityKyivUkraine

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