Literature cited
A. M. Samoilenko, “A numerical-analytic method for the investigation of periodic systems of ordinary differential equations. I,” Ukr. Mat. Zh.,17, No. 4, 82–93 (1965).
A. M. Samoilenko, “A numerical-analytic method for the investigation of periodic systems of ordinary differential equations. II,” Ukr. Mat. Zh.,18, No. 2, 50–59 (1966).
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods for the Investigation of Periodic Solutions [in Russian], Vishcha Shkola, Kiev (1976).
N. A. Perestyuk, “A numerical-analytic method for the investigation of periodic systems with impulses,” in: Proceedings of the Seminar on Mathematical Physics [in Russian], No. 3, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1969), pp. 243–253.
M. O. Perestyuk, “Periodic difference systems with impulses,” Visn. Kiev. Univ. Mat. Mekh., No. 13, 100–105 (1971).
B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).
A. M. Samoilenko and N. A. Perestyuk, “Stability of solutions of differential equations with impulsive action,” Differents. Uravn., No. 11, 1981–1992 (1977).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 517–524, September–October, 1979.
Rights and permissions
About this article
Cite this article
Perestyuk, N.A., Shovkoplyas, V.N. Periodic solutions of nonlinear differential equations with impulsive action. Ukr Math J 31, 408–414 (1979). https://doi.org/10.1007/BF01126864
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01126864