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Open Access Research Article

Exponential convergence and boundedness criteria for differential equations using integral inequalities

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pp. 1–14Online FirstMay 2026DOI: 10.47974/JIM-2314XML
Received:
02 Dec 2024
Published Online:
15 May 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2314
Pages:
1–14

Abstract

The aim purpose of the present work is to investigate a nonlinear Gronwall-Bellman- Bihari-Gamidov’s type inequality. This investigation allows us to study the asymptotic behavior of some differential equations in presence of perturbation in the sense that the solutions are bounded and exponential convergence to a small neighborhood of the origin. The obtained findings can be used to study some properties of boundedness of solutions for perturbed differential equations.

Keywords

Subject Classifications

34H1537B25

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