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

Andrejs Reinfelds; Shraddha Christian

doi:10.1007/978-3-030-56323-3_10

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

Andrejs Reinfelds^*
, Shraddha Christian

^*Corresponding author for this work

Department of Mathematics

University of Latvia

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

2 Citations (Scopus)

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.

Original language	English
Title of host publication	Differential and Difference Equations with Applications, ICDDEA 2019
Editors	Sandra Pinelas, Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas
Place of Publication	Cham
Publisher	Springer Nature Switzerland
Pages	123-131
Number of pages	9
Volume	333
ISBN (Print)	9783030563226
DOIs	https://doi.org/10.1007/978-3-030-56323-3_10
Publication status	Published - 2020

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	333
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Keywords

Hyers-Ulam stability
Nonlinear Volterra integral equation
Unbounded time scales

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10.1007/978-3-030-56323-3_10

Cite this

Reinfelds, A., & Christian, S. (2020). Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. In S. Pinelas, S. Pinelas, J. R. Graef, S. Hilger, P. Kloeden, & C. Schinas (Eds.), Differential and Difference Equations with Applications, ICDDEA 2019 (Vol. 333, pp. 123-131). (Springer Proceedings in Mathematics and Statistics; Vol. 333). Springer Nature Switzerland. https://doi.org/10.1007/978-3-030-56323-3_10

Reinfelds, Andrejs ; Christian, Shraddha. / Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. Differential and Difference Equations with Applications, ICDDEA 2019. editor / Sandra Pinelas ; Sandra Pinelas ; John R. Graef ; Stefan Hilger ; Peter Kloeden ; Christos Schinas. Vol. 333 Cham : Springer Nature Switzerland, 2020. pp. 123-131 (Springer Proceedings in Mathematics and Statistics).

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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.",

keywords = "Hyers-Ulam stability, Nonlinear Volterra integral equation, Unbounded time scales",

author = "Andrejs Reinfelds and Shraddha Christian",

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year = "2020",

doi = "10.1007/978-3-030-56323-3\_10",

language = "English",

isbn = "9783030563226",

volume = "333",

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Reinfelds, A & Christian, S 2020, Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. in S Pinelas, S Pinelas, JR Graef, S Hilger, P Kloeden & C Schinas (eds), Differential and Difference Equations with Applications, ICDDEA 2019. vol. 333, Springer Proceedings in Mathematics and Statistics, vol. 333, Springer Nature Switzerland, Cham, pp. 123-131. https://doi.org/10.1007/978-3-030-56323-3_10

Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. / Reinfelds, Andrejs; Christian, Shraddha.
Differential and Difference Equations with Applications, ICDDEA 2019. ed. / Sandra Pinelas; Sandra Pinelas; John R. Graef; Stefan Hilger; Peter Kloeden; Christos Schinas. Vol. 333 Cham: Springer Nature Switzerland, 2020. p. 123-131 (Springer Proceedings in Mathematics and Statistics; Vol. 333).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

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AU - Reinfelds, Andrejs

AU - Christian, Shraddha

PY - 2020

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N2 - 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.

AB - 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.

KW - Hyers-Ulam stability

KW - Nonlinear Volterra integral equation

KW - Unbounded time scales

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BT - Differential and Difference Equations with Applications, ICDDEA 2019

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PB - Springer Nature Switzerland

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Reinfelds A, Christian S. Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. In Pinelas S, Pinelas S, Graef JR, Hilger S, Kloeden P, Schinas C, editors, Differential and Difference Equations with Applications, ICDDEA 2019. Vol. 333. Cham: Springer Nature Switzerland. 2020. p. 123-131. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-56323-3_10

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

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