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Application of the Laplace transform to the analysis of a mixed problem describing the vibrations of a compound rod

✍ Scribed by Rogozhnikov, A. M.

Book ID
125392743
Publisher
Springer
Year
2014
Tongue
English
Weight
371 KB
Volume
50
Category
Article
ISSN
0012-2661

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## Abstract We consider the problem of finding __u__ ∈ __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying ∫~__I__~ __u__ (__x__ )__x__ d__x__ = __ΞΌ__ ~__k__~ , where __k__ = 0, 1, 2, …, (__Ξ±__ ~__k__~ ) is a sequence of distinct real numbers greater than –1/2, and **__ΞΌ__** = (__ΞΌ__ ~__kl__~ ) is a g