Abstract
We study the solvability of boundary-value problems with parameters and integral and multipoint boundary conditions for resonance multifrequency systems subject to pulse influence at fixed moments of time. We estimate the deviation of solutions of the averaged problem from those of the original problem.
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REFERENCES
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).
A. M. Samoilenko and R. I. Petryshyn, Multifrequency Oscillations of Nonlinear Systems [in Ukrainian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1998).
A. Yu. Luchka, Projection-Iterative Methods [in Russian], Naukova Dumka, Kiev (1993).
Ya. R. Petryshyn, “Averaging of a multipoint problem with parameters for an impulsive oscillation system,” Ukr. Mat. Zh., 52, No. 3, 419–423 (2000).
R. I. Petryshyn and T. M. Sopronyuk, “Exponential estimate for the fundamental matrix of a linear impulsive system,” Ukr. Mat. Zh., 53, No. 8, 1101–1108, (2001).
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Petryshyn, R.I., Lakusta, L.M. Error Estimates for the Averaging Method in Impulsive Boundary-Value Problems with Parameters. Nonlinear Oscillations 5, 184–198 (2002). https://doi.org/10.1023/A:1019764110274
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DOI: https://doi.org/10.1023/A:1019764110274