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Wiener-Hopf Method in Elastodynamics

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Methods of the Classical Theory of Elastodynamics

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Abstract

The Wiener-Hopf method (the factorization method) is widely used for solving certain integral equations and boundary-value problems by means of the Laplace, Fourier, Mellin integral transformations and a number of others. This method was first proposed by Wiener and Hopf in [6.1] to solve homogeneous integral equations with the kernel depending on a difference of arguments

$$u\left( x \right) = \int\limits_0^\infty {u\left( \xi \right)} k\left( {x - \xi } \right)d\xi \,\left( {x > 0} \right)$$

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 1, Michurinsky Prospect, 117192, Moscow, Russia

    Professor Dr. Vladimir B. Poruchikov

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  1. Professor Dr. Vladimir B. Poruchikov
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© 1993 Springer-Verlag Berlin Heidelberg

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Poruchikov, V.B. (1993). Wiener-Hopf Method in Elastodynamics. In: Methods of the Classical Theory of Elastodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77099-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-77099-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77101-9

  • Online ISBN: 978-3-642-77099-9

  • eBook Packages: Springer Book Archive

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