Ahmad Z. Fino

In this article, we study the nonexistence of global solutions to a semi‐linear structurally damped wave equation with nonlinear memory in for any space dimension and for the initial arbitrarily data being subject to a positivity assumption. We intend to apply the method of test function to establish blow‐up results and to overcome some difficulties as well caused by the well‐known fractional Laplacian in structural damping terms.