Periodic and asymptotically periodic solutions of systems of differential-difference equations of neutral type

R. I. Kachurivs’kyi1, H. P. Pelyukh1
1Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

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Tài liệu tham khảo

G. P. Pelyukh, “On the existence of periodic solutions of nonlinear difference equations,” Ukr. Mat. Zh., 54, No. 12, 1626–1633 (2002); English translation: Ukr. Math. J., 54, No. 12, 1971–1981 (2002).

R. R. Akhmerov, M. I. Kamenskii, A. S. Potapov, et al., “Theory of equations of neutral type,” in: VINITI Series in Mathematical Analysis [in Russian], Vol. 19, VINITI, Moscow (1981), pp. 55–126.

V. G. Kurbatov, Linear Differential-Difference Equations [in Russian], Voronezh University, Voronezh (1990).

J. Hale, Theory of Functional Differential Equations, Springer, New York (1977).

H. P. Pelyukh and O. P. Oliinychenko, “Asymptotic properties of global solutions of systems of functional differential equations of neutral type with nonlinear deviations of an argument,” Nelin. Kolyvannya, 5, No. 4, 489–503 (2002); English translation: Nonlin. Oscillations, 5, No. 4, 484–498 (2002).

Yu. A. Mitropol’skii, A. M. Samoilenko, and D. I. Martynyuk, Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients [in Russian], Naukova Dumka, Kiev (1984).

H. P. Pelyukh and N. I. Blashchak, “On the existence and uniqueness of periodic solutions of systems of nonlinear functional differential equations with linear deviation of an argument,” Dopov. Nats. Akad. Nauk Ukr., No. 8, 10–13 (1997).

A. M. Samoilenko and G. P. Pelyukh, “On periodic solutions of systems of nonlinear functional differential equations of neutral type,” Dopov. Nats. Akad. Nauk Ukr., No. 3, 19–21 (1994).

R. I. Kachurivs’kyi and H. P. Pelyukh, “On the existence of periodic solutions of systems of differential-difference equations of neutral type,” Zb. Prats’ Inst. Mat. Nats. Akad. Nauk Ukr., 6, No. 2, 400–416 (2009).

H. P. Pelyukh and N. A. Bohai, “Investigation of the structure of the set of continuous solutions of systems of linear difference equations with continuous argument,” Nelin. Kolyvannya, 8, No. 3, 351–359 (2005); English translation: Nonlin. Oscillations, 8, No. 3, 351–360 (2005).