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Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales

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Differential and Difference Equations with Applications (ICDDEA 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 333))

Abstract

We study Hyers-Ulam stability of a nonlinear Volterra integral equation on unbounded time scales. Sufficient conditions are obtained based on the Banach fixed point theorem and Bielecki type norm.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, 29 Raiņa bulvāris, Rīga, 1459, Latvia

    Andrejs Reinfelds

  2. Department of Mathematics, University of Latvia, 3 Jelgavas iela, Rīga, 1004, Latvia

    Andrejs Reinfelds & Shraddha Christian

Authors
  1. Andrejs Reinfelds
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  2. Shraddha Christian
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Corresponding author

Correspondence to Andrejs Reinfelds .

Editor information

Editors and Affiliations

  1. Department of Exact Sciences and Engineering, Military Academy, Lisbon, Portugal

    Sandra Pinelas

  2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, USA

    John R. Graef

  3. Mathematik und Didaktik, Katholische Universität Eichstätt, Eichstätt, Bayern, Germany

    Stefan Hilger

  4. Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  5. Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, Xanthi, Greece

    Christos Schinas

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Reinfelds, A., Christian, S. (2020). Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. In: Pinelas, S., Graef, J.R., Hilger, S., Kloeden, P., Schinas, C. (eds) Differential and Difference Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-56323-3_10

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