Abstract
We are interested in the study of the global non-existence of solutions of hyperbolic nonlinear problems, governed by the p -Kirchhoff operator, under dynamic boundary conditions, when p > p n with p n < 2 . The systems involve nonlinear external forces and may be affected by a perturbation of the type | u | p − 2 u . Several models already treated in the literature are covered in special subcases, and concrete examples are provided for the source term f and the external nonlinear boundary damping Q .
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