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A Remark on the Existence of Solutions to Nonlinear Equations with Degenerate Mappings

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Abstract

The paper studies nonlinear mappings using methods of p-regularity theory and some concepts and technics of set-valued analysis. The main result addresses to the problem of existence of solutions to nonlinear equations in the degenerate case where a linear part may be singular at the considered initial point.

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Authors and Affiliations

  1. Institute of Mathematics and Physics, University of Podlasie, 3-go Maja 54, 08-110, Siedlce, Poland

    Agnieszka Prusińska & Alexey Tret’yakov

  2. System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Alexey Tret’yakov

  3. Russian Academy of Sciences, Computing Center, Vavilova 40, Moscow, GSP-1, Russia

    Alexey Tret’yakov

Authors
  1. Agnieszka Prusińska
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  2. Alexey Tret’yakov
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Correspondence to Agnieszka Prusińska.

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Prusińska, A., Tret’yakov, A. A Remark on the Existence of Solutions to Nonlinear Equations with Degenerate Mappings. Set-Valued Anal 16, 93–104 (2008). https://doi.org/10.1007/s11228-007-0060-x

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  • DOI: https://doi.org/10.1007/s11228-007-0060-x

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