关键词: General decay, differential inclusion, boundary value problem, memory term, relaxation function

Abstract:

In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.

Key words: General decay, differential inclusion, boundary value problem, memory term, relaxation function