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.
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American Institute of Mathematical Sciences
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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.
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