Abstract
The Green's functions for a series of boundary-value problems are formulated in transforms with respect to t by means of matrix functions that are introduced and allow the scalar dependence on the weighted differences of the coordinate argument to be isolated in them. It was possible in general form to carry out the procedure of the method of integral transformations in solving the integral equations for the function that generates periodic motion.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 15, No. 3, pp. 323–331, March, 1972.
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Alekseev, A.S., Laburkina, O.K. On the formal expansion of the possibilities of the method of integral transformations in investigating linear distributed systems with constant parameters. Radiophys Quantum Electron 15, 238–244 (1972). https://doi.org/10.1007/BF02210661
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DOI: https://doi.org/10.1007/BF02210661