Abstract
Samoilenko's numerical-analytic method is modified for differential systems with pulse action in a space of bounded sequences. In certain cases of linear systems of equations, this method makes it possible to solve the periodic control problem with a predetermined accuracy.
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Yu. V. Teplinskii and N. S. Tsiganovskii, “On periodic control problem for differential equations with pulses in the space of bounded number sequences,” Ukr. Mat. Zh.,42, No. 2, 271–275 (1990).
A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Pulse Actions [in Russian], Vishch. Shk., Kiev (1987).
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Method for Investigating Periodic Solutions [in Russian], Vishch. Shk., Kiev (1976).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1580–1589, November, 1992.
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Teplinskii, Y.V., Luchik, V.E. Periodic control problem for infinite differential systems with pulse action. Ukr Math J 44, 1455–1464 (1992). https://doi.org/10.1007/BF01071521
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DOI: https://doi.org/10.1007/BF01071521