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On Spectra of a Nonperiodic Woven Membrane

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Abstract

This paper describes the conditions of physical nature under which the low-frequency part of the spectrum of frequencies of natural oscillations of a stretched network of strings sufficiently densely filling the domain Ω ⊂ ℝ2 and fixed on its boundary is sufficiently close to a similar part of the spectrum of a stretched membrane covering the same domain.

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Authors and Affiliations

  1. Voronezh State University, Russia

    A. V. Komarov & O. M. Penkin

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  1. A. V. Komarov
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  2. O. M. Penkin
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 16, Partial Differential Equations, 2004.

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Komarov, A.V., Penkin, O.M. On Spectra of a Nonperiodic Woven Membrane. J Math Sci 133, 883–902 (2006). https://doi.org/10.1007/s10958-006-0024-y

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