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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 4

Asymptotic behavior of solutions of $N$-th order forced integro-differential equations with $\beta$-Laplacian

Said R. Grace(Cairo University)0000-0001-8783-5227
John R. Graef(University of Tennessee at Chattanooga)0000-0002-8149-4633
Ercan Tunç(Tokat Gaziosmanpasa University)0000-0001-8860-608X
Pages
—
Publication Date
2023-08-15
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The paper concludes with two examples illustrating the applicability of the main results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The authors prove some new results on the asymptotic behavior of solutions of $n$th order forced integro-differential equations with a $\beta$-Laplacian.
📊
Key Findings & Data:The main goal is to investigate when all solutions behave at infinity like certain nontrivial nonlinear functions.
💡
Conclusion & Impact:The paper concludes with two examples illustrating the applicability of the main results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:higher order integro-differential equations · asymptotic behavior · $\beta$-Laplacian

Abstract

The authors prove some new results on the asymptotic behavior of solutions of $n$th order forced integro-differential equations with a $\beta$-Laplacian. The main goal is to investigate when all solutions behave at infinity like certain nontrivial nonlinear functions. They apply a technique involving Young's inequality. The paper concludes with two examples illustrating the applicability of the main results.

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Cite This Article

Grace, S. R., Graef, J. R., Tunç, E. (2023). Asymptotic behavior of solutions of $N$-th order forced integro-differential equations with $\beta$-Laplacian. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 4. https://doi.org/10.15672/hujms.1076176

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