We study the solvability of multifrequency differential systems with linearly transformed arguments and integral boundary conditions and substantiate the procedure of averaging over fast variables. The coefficients in the integral boundary conditions depend both on slow time and slow variables and on the fast variables.
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Translated from Neliniini Kolyvannya, Vol. 16, No. 2, pp. 147–156, April–June, 2013
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Berezovs’ka, I. Averaging of Multifrequency Boundary-Value Problems with Linearly Transformed Arguments. J Math Sci 198, 235–244 (2014). https://doi.org/10.1007/s10958-014-1786-2
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DOI: https://doi.org/10.1007/s10958-014-1786-2