New Results On the 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. main goal is to investigate when all
 behave at infinity like certain nontrivial nonlinear
 functions. They apply technique involving Young's inequality. The
 paper concludes two examples illustrating applicability the
 results.