GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS

• Main Authors: Choucha A., Jan R., Mekawy I., Alharbi A., Alnegga M.
• Other Authors: 57216493937
• Format: Article
• Published: American Institute of Mathematical Sciences 2025
• Institution: Universiti Tenaga Nasional

A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, delay and Balakrishnan-Taylor damping terms is studied. We prove the exponential growth and the blow-up of solutions with positive initial-energy under suitable hypotheses. ? 2024 American Institute of Mathematical Sci...