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On some mathematical principles in the linear theory of damped oscillations of continua I

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Note of the editor:

This paper is the first part of a paper which was originally published in Russian in "Proc. Int. Sympos. on Applications of the Theory of Functions in Continuum Mechanics, Tbilisi 1963, vol II: Fluid and Gas Mechanics, Math. Methods, Nauka, Moskow, 1965, pp. 283 – 322." The second part will appear in one of the forth-coming issues of this journal. The division into two parts is made formally. The editor is grateful to R. Troelstra of the Wiskundig Seminarium of the Vrije Universiteit at Amsterdam for making the translation.

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Krein, M.G., Langer, H. & Troelstra, R. On some mathematical principles in the linear theory of damped oscillations of continua I. Integr equ oper theory 1, 364–399 (1978). https://doi.org/10.1007/BF01682844

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