Abstract <p> The viscoelastic plate equation with a memory term, logarithmic nonlinearity, and nonlinear frictional damping term is considered in this article. We use a few additional assumptions on the kernel <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(b\)</EquationSource> </InlineEquation> to demonstrate the blow-up result for the solution to the plate problem. </p>

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On the Blow-Up Result for a Viscoelastic Plate Equation with Nonlinear Frictional Damping

  • B. K. Kakumani,
  • S. P. Yadav

摘要

Abstract

The viscoelastic plate equation with a memory term, logarithmic nonlinearity, and nonlinear frictional damping term is considered in this article. We use a few additional assumptions on the kernel \(b\) to demonstrate the blow-up result for the solution to the plate problem.