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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The paper concludes with two examples illustrating the applicability of the main results.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The authors prove some new results on the asymptotic behavior of solutions of $n$th order forced integro-differential equations with a $\beta$-Laplacian.
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Temel Bulgular & Veri:The main goal is to investigate when all solutions behave at infinity like certain nontrivial nonlinear functions.
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Sonuç & Katkı:The paper concludes with two examples illustrating the applicability of the main results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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