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

Keywords

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

References

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