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

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

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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