Abstract
We establish conditions of the existence of solutions periodic in t with period T for a weakly nonlinear system of partial differential equations with pulse influence.
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References
A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).
A. M. Samoilenko and N. A. Perestyuk, “Periodic solutions of weakly nonlinear systems with pulse influence,” Differents. Uravn., 14, No. 6, 1034–1045 (1978).
A. M. Samoilenko and N. A. Perestyuk, “Stability of solutions of differential equations with pulse influence,” Differents. Uravn., 13, No. 6, 1981–1992 (1977).
N. A. Perestyuk, “Periodic solutions of nonlinear differential equations with pulse influence,” Ukr. Mat. Zh., 31, No. 5, 517–524 (1979).
Additional information
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 4, pp. 601–605, April, 1997.
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Perestyuk, N.A., Tkach, A.B. Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. Ukr Math J 49, 665–671 (1997). https://doi.org/10.1007/BF02487331
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DOI: https://doi.org/10.1007/BF02487331