Abstract
For one class of systems of nonlinear functional differential equations, we study asymptotic properties of their solutions continuously differentiable and bounded for t ≥ T > 0 together with their first derivatives.
Similar content being viewed by others
References
J. Hale, Theory of Functional Differential Equations, Springer, New York (1977).
T. Kato and J. B. Mcleod, “The functional-differential equation y′(x) = ay(λx) + by(x),” Bull. Amer. Math. Soc., 77, 891–937 (1971).
A. M. Samoilenko and G. P. Pelyukh, “Solutions of systems of nonlinear functional differential equations bounded on the entire real axis and their properties,” Ukr. Mat. Zh., 46, No. 6, 737–747 (1994).
G. P. Pelyukh, “On asymptotic properties of solutions of systems of nonlinear functional differential equations,” Differents. Uravn., No. 1, 45–49 (2003).
G. P. Pelyukh and D. V. Bel’skii, “On the behavior of solutions of linear functional differential equations with constant coefficients and linearly transformed argument in the neighborhood of singular points,” Ukr. Mat. Zh., 57, No. 12, 1668–1676 (2005).
Author information
Authors and Affiliations
Additional information
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 2, pp. 217–224, February, 2008.
Rights and permissions
About this article
Cite this article
Pelyukh, G.P. On properties of solutions of a limit problem for systems of nonlinear functional differential equations of neutral type. Ukr Math J 60, 253–261 (2008). https://doi.org/10.1007/s11253-008-0056-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-008-0056-1