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

Authors : Said R. GRACE, John R. GRAEF, Ercan TUNÇ

Pages : 923-930

Doi:10.15672/hujms.1076176

View : 256 | Download : 426

Publication Date : 2023-08-15

Article Type : Research Paper

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