Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional p-Laplacian operator

This paper is devoted to the question of global and local asymptotic stability for nonlinear damped Kirchhoff systems, with homogeneous Dirichlet boundary conditions, under fairly natural assumptions on the external force f and the distributed damping Q. Particular attention is devoted to the asymptotic behavior of the solutions in the linear case. The paper extends in several directions recent theorems and covers also the so-called degenerate case, that is the case in which M is zero at zero.