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Symmetry 2019, 11(2), 226; https://doi.org/10.3390/sym11020226

Polynomial Decay Rate for Kirchhoff Type in Viscoelasticity with Logarithmic Nonlinearity and Not Necessarily Decreasing Kernel

1
Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Buraydah 51921, Saudi Arabia
2
Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran 31000, Algeria
3
Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, Tebessa 12002, Algeria
*
Author to whom correspondence should be addressed.
Received: 14 January 2019 / Revised: 25 January 2019 / Accepted: 12 February 2019 / Published: 14 February 2019
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Abstract

This paper describes a polynomial decay rate of the solution of the Kirchhoff type in viscoelasticity with logarithmic nonlinearity, where an asymptotically-stable result of the global solution is obtained taking into account that the kernel is not necessarily decreasing. View Full-Text
Keywords: global existence; polynomial decay; viscoelastic damping; intrinsic decay rates global existence; polynomial decay; viscoelastic damping; intrinsic decay rates
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Boulaaras, S.; Draifia, A.; Alnegga, M. Polynomial Decay Rate for Kirchhoff Type in Viscoelasticity with Logarithmic Nonlinearity and Not Necessarily Decreasing Kernel. Symmetry 2019, 11, 226.

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