Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations

Maryam A. Alghamdi; Mymonah Alharbi; Martin Bohner; Alaa E. Hamza

doi:10.1007/s12346-021-00451-3

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations

Maryam A. Alghamdi
, Mymonah Alharbi
, Martin Bohner
, Alaa E. Hamza

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach space.

Original language	American English
Journal	Qualitative Theory of Dynamical Systems
Volume	20
DOIs	https://doi.org/10.1007/s12346-021-00451-3
State	Published - Jul 1 2021

Keywords

First-order nonlinear dynamic equations
Hyers-Ulam stability
Hyers-Ulam-Rassias stability
Time scales

Disciplines

Mathematics
Statistics and Probability

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10.1007/s12346-021-00451-3License: Unspecified

https://doi.org/10.1007/s12346-021-00451-3

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title = "Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations",

abstract = " We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach space.",

keywords = "First-order nonlinear dynamic equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Time scales",

author = "Alghamdi, \{Maryam A.\} and Mymonah Alharbi and Martin Bohner and Hamza, \{Alaa E.\}",

year = "2021",

month = jul,

day = "1",

doi = "10.1007/s12346-021-00451-3",

language = "American English",

volume = "20",

journal = "Qualitative Theory of Dynamical Systems",

issn = "1662-3592",

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TY - JOUR

T1 - Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations

AU - Alghamdi, Maryam A.

AU - Alharbi, Mymonah

AU - Bohner, Martin

AU - Hamza, Alaa E.

PY - 2021/7/1

Y1 - 2021/7/1

N2 - We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach space.

AB - We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach space.

KW - First-order nonlinear dynamic equations

KW - Hyers-Ulam stability

KW - Hyers-Ulam-Rassias stability

KW - Time scales

UR - https://scholarsmine.mst.edu/math_stat_facwork/1069

UR - https://doi.org/10.1007/s12346-021-00451-3

U2 - 10.1007/s12346-021-00451-3

DO - 10.1007/s12346-021-00451-3

M3 - Article

SN - 1662-3592

VL - 20

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

ER -

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations

Abstract

Keywords

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