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On Zeros of Solutions of a Linear Differential Equation

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Extended Abstracts Fall 2019

Part of the book series: Trends in Mathematics ((RPCRMB,volume 12))

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Abstract

We are looking for a function a(z) analytic in the unit disc such that \(f''+a(z)f= 0\) possesses a solution having zeros precisely at the points \(z_k\), and the resulting function a(z) has ‘minimal’ growth.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematical and Computer Sciences, University of Warmia and Mazury in Olsztyn, Słoneczna 54, 10-710, Olsztyn, Poland

    Igor Chyzhykov

  2. School of Mathematical Sciences, Guizhou Normal University, Guiyang, Guizhou, 550025, China

    Jianren Long

Authors
  1. Igor Chyzhykov
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  2. Jianren Long
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Corresponding author

Correspondence to Igor Chyzhykov .

Editor information

Editors and Affiliations

  1. Laboratoire d'Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Marne-la-Vallée, France

    Evgeny Abakumov

  2. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    Anton Baranov

  3. Institut de Mathématiques de Marseille, Aix Marseille Université, Marseille, France

    Alexander Borichev

  4. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    Konstantin Fedorovskiy

  5. Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Barcelona, Spain

    Joaquim Ortega-Cerdà

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© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Chyzhykov, I., Long, J. (2021). On Zeros of Solutions of a Linear Differential Equation. In: Abakumov, E., Baranov, A., Borichev, A., Fedorovskiy, K., Ortega-Cerdà, J. (eds) Extended Abstracts Fall 2019. Trends in Mathematics(), vol 12. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-74417-5_10

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