4.1 Article

On Parametric Families of Solutions of Volterra Integral Equations of the First Kind with Piecewise Smooth Kernel

Journal

DIFFERENTIAL EQUATIONS
Volume 49, Issue 2, Pages 210-216

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0012266113020079

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Funding

  1. Russian Foundation for Basic Research [12-01-00722, 11-08-00109-a]
  2. Ministry of Education and Science of the Russian Federation [NIR: 01200804682]
  3. Deutscher Akademischer Austauschdienst [A1200665]

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We suggest a method for constructing asymptotic approximations to parametric families of solutions of Volterra integral equations of the first kind with piecewise smooth kernel and prove the existence of continuous solutions.

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