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

Year 2023, Volume: 52 Issue: 4, 923 - 930, 15.08.2023

Said R. Grace , John R. Graef , Ercan Tunç

https://doi.org/10.15672/hujms.1076176

Cited By: 1

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.

Keywords

higher order integro-differential equations, asymptotic behavior, $\beta$-Laplacian, forced equation

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