Periodic solutions of a system of nonlinear integro-differential equations with pulse action |
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| Authors: | N. I. Shkil’ G. V. Zavizion M. V. Samoilenko |
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| Affiliation: | (1) National Pedagogic University, Kiev;(2) Kirovograd Pedagogic University, Kirovograd;(3) Kiev Academy of Water Transport, Kiev |
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| Abstract: | We establish a condition for the existence and uniqueness of a periodic solution of a system of nonlinear integro-differential equations with pulse action. The solution is represented as the limit of periodic iterations. We give estimates for the rate of convergence and for the exact solution of the system. __________ Translated from Neliniini Kolyvannya, Vol. 8, No. 4, pp. 553–573, October–December, 2005. |
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