Hyers-Ulam Stability Of Nonautonomous Third Order Nonlinear Differential Equations

Hyers-Ulam stability of non-autonomous third order nonlinear differential equations is considered in this paper. This consideration is possible by using the Bihari integral inequality and Gronwall-Bellman-Bihari integral inequality to prove Hyers-Ulam stability and determine Hyers-Ulam constant of every non-autonomous third order nonlinear differential equation considered. Our results improve and extend known results in literature.

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Publication Details

Journal
Afrischolar Discovery
Published
2025-02-28
DOI
https://doi.org/10.60787/tnamp.v21.475
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
0.00
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Hyers-Ulam Stability Of Nonautonomous Third Order Nonlinear Differential Equations

Afrischolar Discovery
Functional Equations Stability Results
article

Hyers-Ulam Stability Of Nonautonomous Third Order Nonlinear Differential Equations

article en

Abstract

Hyers-Ulam stability of non-autonomous third order nonlinear differential equations is considered in this paper. This consideration is possible by using the Bihari integral inequality and Gronwall-Bellman-Bihari integral inequality to prove Hyers-Ulam stability and determine Hyers-Ulam constant of every non-autonomous third order nonlinear differential equation considered. Our results improve and extend known results in literature.

Afrischolar Discovery
Federal College of Education, Kano (NG)
Reduced inequalities
Openalex Percentile: Top 45%
Functional Equations Stability Results
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Hyers-Ulam Stability Of Nonautonomous Third Order Nonlinear Differential Equations · Afrischolar Discovery (2025) | TGRS Research Map | TGRS