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

^*Šī darba korespondējošais autors

Matemātikas nodaļa

University of Latvia

Zinātniskās darbības rezultāts: Nodaļa grāmatā/enciklopēdijā/konferences krājumā › Konferences zinātniskais raksts › Pētniecība › koleģiāli recenzēts

2 Atsauces (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Rīkotāja publikācijas nosaukums	Differential and Difference Equations with Applications, ICDDEA 2019
Redaktori	Sandra Pinelas, Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas
Publikācijas vieta	Cham
Izdevējs	Springer Nature Switzerland
Lapas	123-131
Lapu skaits	9
Sējums	333
ISBN (Drukātā versija)	9783030563226
DOIs	https://doi.org/10.1007/978-3-030-56323-3_10
Publikācijas statuss	Publicēts - 2020

Publikāciju sērijas

Nosaukums	Springer Proceedings in Mathematics and Statistics
Sējums	333
ISSN (Drukātā versija)	2194-1009
ISSN (Elektroniskā versija)	2194-1017

OECD Zinātnes nozare

1.1 Matemātika

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

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Reinfelds, A., & Christian, S. (2020). Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. (gadā) S. Pinelas, S. Pinelas, J. R. Graef, S. Hilger, P. Kloeden, & C. Schinas (Red.), Differential and Difference Equations with Applications, ICDDEA 2019 (Sēj. 333, lpp. 123-131). (Springer Proceedings in Mathematics and Statistics; Sēj. 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. redaktors / Sandra Pinelas ; Sandra Pinelas ; John R. Graef ; Stefan Hilger ; Peter Kloeden ; Christos Schinas. Sēj. 333 Cham : Springer Nature Switzerland, 2020. lpp. 123-131 (Springer Proceedings in Mathematics and Statistics).

@inproceedings{7f3a8b199bcf407bb9f79b4e9b6f7378,

title = "Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales",

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",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

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

language = "English",

isbn = "9783030563226",

volume = "333",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer Nature Switzerland",

pages = "123--131",

editor = "Sandra Pinelas and Sandra Pinelas and Graef, \{John R.\} and Stefan Hilger and Peter Kloeden and Christos Schinas",

booktitle = "Differential and Difference Equations with Applications, ICDDEA 2019",

}

Reinfelds, A & Christian, S 2020, Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. (kur) S Pinelas, S Pinelas, JR Graef, S Hilger, P Kloeden & C Schinas (red.), Differential and Difference Equations with Applications, ICDDEA 2019. sēj. 333, Springer Proceedings in Mathematics and Statistics, sēj. 333, Springer Nature Switzerland, Cham, lpp. 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. red. / Sandra Pinelas; Sandra Pinelas; John R. Graef; Stefan Hilger; Peter Kloeden; Christos Schinas. Sēj. 333 Cham: Springer Nature Switzerland, 2020. lpp. 123-131 (Springer Proceedings in Mathematics and Statistics; Sēj. 333).

Zinātniskās darbības rezultāts: Nodaļa grāmatā/enciklopēdijā/konferences krājumā › Konferences zinātniskais raksts › Pētniecība › koleģiāli recenzēts

TY - GEN

T1 - Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales

AU - Reinfelds, Andrejs

AU - Christian, Shraddha

PY - 2020

Y1 - 2020

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

UR - https://link.springer.com/chapter/10.1007%252F978-3-030-56323-3_10

UR - https://www.scopus.com/pages/publications/85096562873

U2 - 10.1007/978-3-030-56323-3_10

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

M3 - Conference paper

SN - 9783030563226

VL - 333

T3 - Springer Proceedings in Mathematics and Statistics

SP - 123

EP - 131

BT - Differential and Difference Equations with Applications, ICDDEA 2019

A2 - Pinelas, Sandra

A2 - Graef, John R.

A2 - Hilger, Stefan

A2 - Kloeden, Peter

A2 - Schinas, Christos

PB - Springer Nature Switzerland

CY - Cham

ER -

Reinfelds A, Christian S. Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. (gadā) Pinelas S, Pinelas S, Graef JR, Hilger S, Kloeden P, Schinas C, redaktori, Differential and Difference Equations with Applications, ICDDEA 2019. Sēj. 333. Cham: Springer Nature Switzerland. 2020. lpp. 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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