Dynamics of nonlinear hyperbolic equations of Kirchhoff type

Jianyi Chen, Yimin Sun, Zonghu Xiu +1

In this paper, we study the initial boundary value problem of the important hyperbolic Kirchhoff equation $$u_{tt}-\left(a \int_Ω|\nabla u|^2 \dif x +b\right)Δu = λu+ |u|^{p-1}u ,$…