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Quantitative Stability of a Generalized Equation

Application to Non-regular Electrical Circuits

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Abstract

The paper is devoted to the study of several stability properties (such as Aubin/Lipschitz-like property, calmness and isolated calmness) of a special non-monotone generalized equation. The theoretical results are applied in the theory of non-regular electrical circuits involving electronic devices like ideal diode, practical diode, and diode alternating current.

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Acknowledgements

The authors would like to thank to Huynh Van Ngai for the fruitful discussion concerning the computation of the outer subdifferential in Example 6.2, and also to anonymous referees for their valuable comments. The second author was partially supported by the Research Plan MSM 4977751301.

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Authors and Affiliations

  1. XLIM UMR-CNRS 6172, Université de Limoges, 870 60, Limoges, France

    S. Adly & R. Cibulka

  2. Department of Mathematics, University of West Bohemia, Univerzitní 8, 306 14, Pilsen, Czech Republic

    R. Cibulka

Authors
  1. S. Adly
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  2. R. Cibulka
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Correspondence to S. Adly.

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Communicated by Boris S. Mordukhovich.

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Adly, S., Cibulka, R. Quantitative Stability of a Generalized Equation. J Optim Theory Appl 160, 90–110 (2014). https://doi.org/10.1007/s10957-013-0369-6

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  • DOI: https://doi.org/10.1007/s10957-013-0369-6

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