Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 4

Ulam-Hyers stability for a nonlinear Volterra integro-differential equation

Vu Ho(Ton Duc Thang University)0000-0001-7274-6096
Ngo Van Hoa(Ton Duc Thang University)0000-0002-4603-4682
Pages
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Publication Date
2020-08-06
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Some simple examples are given to illustrate the main results. ************************************************************************************************************************** **************************************************************************************************************************

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability for the nonlinear Volterra integro-differential equations are established by employing the method of successive approximation.
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Key Findings & Data:In this work, the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability for the nonlinear Volterra integro-differential equations are established by employing the method of successive approximation.
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Conclusion & Impact:Some simple examples are given to illustrate the main results. ************************************************************************************************************************** **************************************************************************************************************************
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ulam stability · successive approximation · nonlinear Volterra integro-differential equation

Abstract

In this work, the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability for the nonlinear Volterra integro-differential equations are established by employing the method of successive approximation. Some simple examples are given to illustrate the main results. ************************************************************************************************************************** **************************************************************************************************************************

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Cite This Article

Ho, V., Hoa, N. V. (2020). Ulam-Hyers stability for a nonlinear Volterra integro-differential equation. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 4. https://doi.org/10.15672/hujms.483606

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