Periodic Solutions and Their Properties for Systems of Functional-Differential Equations with Parameter

Author:

Denysenko N. L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference6 articles.

1. T. Kato and J. B. McLeod, “The functional-differential equation y′(x) = ay(λx) + by(x);” Bull. Amer. Math. Soc., 77, 891–937 (1971).

2. M. Kwapisz, “On the existence and uniqueness of solutions of certain integral-differential equation,” Ann. Pol. Math., 31, No. 1, 23–41 (1975).

3. 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); English translation: Ukr. Math. J., 46, No. 6, 799–811 (1994).

4. N. L. Denysenko, “Asymptotic properties of continuous solutions of the systems of functional-differential equations with linear transformations of the argument,” Nauk. Visti Nauk.-Tekh. Univ. Ukr. “Lviv. Politekh. Inst.,” No. 3, 135–141 (2008).

5. N. L. Denysenko, “Properties of continuous periodic solutions of systems of functional-differential equations with small parameter,” Nelin. Kolyv., 17, No. 3, 332–340 (2014); English translation: J. Math. Sci., 212, No. 3, 254–263 (2016).

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