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Journal of Mathematical Sciences

, Volume 170, Issue 5, pp 622–628 | Cite as

Mathematical models based on singular integral equations with non-Carleman shift. Analysis of solvability and numerical methods of solution

  • A. A. Batyrev
Article
  • 47 Downloads

We consider some examples of systems whose functionality can be described with the help of mathematical models based on singular integral equations with non-Carleman shift. For this type of equations, we have obtained an estimate for the dimension of the kernel of the corresponding operator and proposed numerical methods for both evaluating the dimension of the kernel and constructing solutions.

Keywords

Singular Integration Singular Integral Equation Linear Algebraic Equation Singular Integral Operator Pulse Characteristic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • A. A. Batyrev
    • 1
  1. 1.Department of Hydroacoustics, Marine Hydrophysical InstituteUkrainian National Academy of SciencesOdessaUkraine

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