We study the structure of the set of continuously differentiable solutions for one class of systems of difference-differential equations of the neutral type.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Hale, Theory of Functional Differential Equations, Springer, New York (1977).
G. P. Pelyukh, “On the asymptotic properties of the solutions of systems of nonlinear functional-differential equations,” Differents. Uravn., No. 1, 45–49 (2003).
G. P. Pelyukh, “On the properties of solutions of the limit problem for systems of nonlinear functional differential equations of neutral type,” Ukr. Mat. Zh., 60, No. 2, 217–224 (2008); English translation: Ukr. Math. J., 60, No. 2, 253–261 (2008).
I. Gumovski and C. Mira, Recurrences and Discrete Dynamic Systems, Springer, Berlin (1980).
A. M. Samoilenko and G. P. Pelyukh, “Solutions of the systems of nonlinear functional-differential equations bounded on the entire real axis and their properties,” Ukr. Mat. Zh., 46, No. 6, 737–747 (1994); English translation: Ukr. Math. J., 46, No. 6, 799–811 (1994).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Neliniini Kolyvannya, Vol. 19, No. 2, pp. 247–252, April–June, 2016.
Rights and permissions
About this article
Cite this article
Pelyukh, G.P. On the Structure of the Set of Solutions of One Class of Systems of Nonlinear Difference-Differential Equations of the Neutral Type. J Math Sci 223, 305–310 (2017). https://doi.org/10.1007/s10958-017-3357-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-017-3357-9