Literature cited
A. A. Andronov, A. A. Vitt, and S. E. Khaikin, The Theory of Oscillations [in Russian], Nauka, Moscow (1981).
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).
A. E. Kobrinskii and A. A. Kobrinskii, Vibration-Shock Systems [in Russian], Nauka, Moscow (1973).
A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Impulse Action [in Russian], Izd. Kiev. Univ. (1980).
A. D. Myshkis and A. M. Samoilenko, “Systems with impulses at given instants of time,” Mat. Sb.,74 (116), No. 2, 202–208 (1967).
A. V. Skorokhod, “On the limit transition from a sequence of sums of independent random variables to a homogeneous random process with independent increments,” Dokl. Akad. Nauk SSSR,104, No. 3, 364–367 (1955).
A. V. Skorokhod, “Limit theorems for random processes,” Teor. Veroyatn. Primen.,1, No. 3, 289–319 (1956).
A. Halanay and D. Wexler, The Qualitative Theory of Systems with Impulses [in Romanian], Ed. Acad. Rep. Soc. Romania, Bucharest (1968).
A. M. Samoilenko, N. A. Perestyuk, and M. U. Akhmetov, Almost Periodic Solutions of Differential Equations with Impulse Action [in Russian], Akad. Nauk UkrSSR, Inst. Mat., Kiev, Preprint No. 83.26 (1983).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 8, pp. 1028–1033, August, 1989.
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Akhmetov, M.U., Perestyuk, N.A. Differentiable dependence of the solutions of impulse systems on initial data. Ukr Math J 41, 878–882 (1989). https://doi.org/10.1007/BF01058301
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DOI: https://doi.org/10.1007/BF01058301