Plate equations with viscoelastic boundary damping
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2015/03/01
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Journal
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Indian UGC (journal)
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Refrences18
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Citations9
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Muhammad I. Mustafa
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Ghassan A. Abusharkh
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory | Journal of Mathematical Analysis and Applications |
| 2003 | |
| General decay for Kirchhoff plates with a boundary condition of memory type | Boundary Value Problems |
| 13 | 2012 |
General stability result for viscoelastic wave equations | Journal of Mathematical Physics |
| 84 | 2012 |
| General Decay Estimate of Energy for the Second Order Evolution Equations with Memory | Acta Applicandae Mathematicae |
| 27 | 2010 |
| A general method for proving sharp energy decay rates for memory-dissipative evolution equations | Comptes Rendus. Mathématique |
| 116 | 2009 |
Refrences Analysis
The category
Science: Mathematics 10
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
New general decay results for a fully dynamic piezoelectric beam system with fractional delays under memory boundary controls | Mathematical Methods in the Applied Sciences |
| 2023 | |
General decay of solutions for a von Karman plate system with general type of relaxation functions on the boundary | AIMS Mathematics | 2023 | ||
| Viscoelasticity versus nonlinear feedback in plate systems: optimal decay | Applicable Analysis |
| 3 | 2022 |
| General decay for a nonlinear Bresse system with memory conditions on part of the boundary | Applicable Analysis |
| 1 | 2019 |
| Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions | Boundary Value Problems |
| 13 | 2019 |
Citations Analysis
The category
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled General stability for a von Kármán plate system with memory boundary conditions and was published in 2015. The most recent citation comes from a 2023 study titled General decay of solutions for a von Karman plate system with general type of relaxation functions on the boundary. This article reached its peak citation in 2023, with 2 citations. It has been cited in 6 different journals, 16% of which are open access. Among related journals, the Boundary Value Problems cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.