Literature cited
A. Halanay, “An invariant surface for some linear singularly perturbed systems with time lag,” J. Diff. Eqs.,2, No. 1, 33–46 (1966).
Yu. A. Mitropol'skii and V. I. Fodchuk, “On stable integral manifolds for a class of singularly perturbed systems with retardation,” Ukr. Mat. Zh.,20, No. 6, 790–801 (1968).
V. I. Fodchuk, “On the existence and properties of the integral manifold for a system of nonlinear differential equations with retarded argument and variable coefficients,” in: Approximate Methods of Solution of Differential Equations [in Russian], Kiev (1963), pp. 129–140.
V. I. Fodchuk and A. Kholmatov, “Periodic and almost-periodic solutions of singularly perturbed differential equations of neutral type,” Differents. Uravn.,12, No. 6, 1019–1027 (1976).
Yu. S. Kolesov, “On the stability of solutions of linear difference-differential equations of neutral type,” Sib. Mat. Zh.,20, No. 2, 317–321 (1979).
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 1, pp. 81–88, January–February, 1982.
Rights and permissions
About this article
Cite this article
Cherevko, I.M. Integral manifolds of singularly perturbed difference-differential equations of neutral type. Ukr Math J 34, 68–74 (1982). https://doi.org/10.1007/BF01086136
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01086136