Mohamed Merouani, Djamel Ouchenane, Abdelbaki Choucha

Blow-Up of Solutions for a Viscoelastic Kirchhoff Equation with a Logarithmic Nonlinearity, Delay and Balakrishnan-Taylor Damping Terms

abstract:
A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, dispersion, delay and Balakrishnan-Taylor damping terms is studied. We prove the blow-up of solutions under a suitable hypothesis.

Mathematics Subject Classification: 35B40, 35L70, 76Exx, 93D20

Key words and phrases: Kirchhoff equation, blow-up, delay term, viscoelastic term, logarithmic nonlinearity