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Existence and uniqueness of solutions to singular ODE’s

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Abstract

We present an existence and uniqueness result for ordinary differential equations based upon the use of weighted spaces. We deal with singular and discontinuous right-hand-sides of the equation.

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Authors and Affiliations

  1. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile

    Przemysław Górka

  2. Wydział Matematyki i Nauk Informacyjnych, Politechnika Warszawska, Pl. Politechniki 1, 00-661, Warsaw, Poland

    Przemysław Górka

  3. Institute of Applied Mathematics and Mechanics, Warsaw University, ul. Banacha 2, 02-097, Warsaw, Poland

    Piotr Rybka

Authors
  1. Przemysław Górka
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  2. Piotr Rybka
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Correspondence to Przemysław Górka.

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Górka, P., Rybka, P. Existence and uniqueness of solutions to singular ODE’s. Arch. Math. 94, 227–233 (2010). https://doi.org/10.1007/s00013-009-0093-5

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  • DOI: https://doi.org/10.1007/s00013-009-0093-5

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