Publication: 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
Date
2024
Authors
Choucha A.
Jan R.
Mekawy I.
Alharbi A.
Alnegga M.
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Mathematical Sciences
Abstract
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 Sciences. All rights reserved.