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
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...
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| Main Authors: | , , , , |
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| Format: | Article |
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American Institute of Mathematical Sciences
2025
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| Institution: | Universiti Tenaga Nasional |