(x, In this paper we consider the initial boundary value problem for a nonlinear damping and a delay term of the form: |u_t|^lu_tt- u, t) - u_tt+_1|u_t|^m-2u_t\\+_2|u_t(t-)|^m-2u_t(t-)=b|u|^p-2u, with initial conditions and Dirichlet boundary conditions. Under appropriate conditions on, and we prove that there are solutions with negative initial energy that blow-up finite time if . “Blow-up of Result in a Nonlinear Wave Equation With Delay and Source Term”. Discontinuity, Nonlinearity, and Complexity 10, no. 4 (August 17, 2026): 733–741. Accessed August 17, 2026. https://lhscientificpublishing.com/index.php/DNC/article/view/1751.