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

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.

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Journal
Mathematical Notes
Published
2025-10-01
DOI
https://doi.org/10.1134/s0001434625602527
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

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

B. K. Kakumani, S. P. Yadav
Mathematical Notes
Stability and Controllability of Differential Equations
article

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

B. K. Kakumani, S. P. Yadav
article en

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.

Mathematical NotesVol. 118(3-4)
Birla Institute of Technology and Science - Hyderabad Campus (IN)
Openalex Percentile: Top 37%
Stability and Controllability of Differential Equations
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On the Blow-Up Result for a Viscoelastic Plate Equation with Nonlinear Frictional Damping — B. K. Kakumani, S. P. Yadav · Mathematical Notes (2025) | TGRS Research Map | TGRS