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Generalized Functions Method for Solving Nonstationary Boundary Value Problems for Strictly Hyperbolic Systems with Second-Order Derivatives

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New Trends in Analysis and Interdisciplinary Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

The method of generalized functions has been elaborated for solving nonstationary boundary value problems (BVPs) for strictly hyperbolic systems. Considered solutions may belong to the class of regular functions with discontinuous derivatives on moving surfaces, that is, wave fronts (shock waves). Generalized solutions of BVP subject to shock waves have been constructed. Singular boundary integral equations have been obtained that allow for the solution of BVP.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Pushkin str. 125, Almaty, Kazakhstan

    L. A. Alexeyeva & G. K. Zakir’yanova

Authors
  1. L. A. Alexeyeva
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  2. G. K. Zakir’yanova
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Corresponding author

Correspondence to L. A. Alexeyeva .

Editor information

Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Alexeyeva, L.A., Zakir’yanova, G.K. (2017). Generalized Functions Method for Solving Nonstationary Boundary Value Problems for Strictly Hyperbolic Systems with Second-Order Derivatives. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_1

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