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Journals / Hacettepe Journal of Mathematics and Statistics / 2023 / Cilt: 52 Sayı: 4

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

Said R. GRACE
John R. GRAEF
Ercan TUNÇ
Pages
923–930
Publication Date
2023-08-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ 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, Cilt: 52 Sayı: 4, 923–930. https://ajindex.com/articles/958692

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