Stability and exponential stability in linear viscoelasticity
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2009/08/08
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Journal
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Indian UGC (journal)
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Refrences22
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Citations67
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Vittorino Pata
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1142/S0218202508002590 | 2008 | |||
| 10.1090/S0033-569X-06-01010-4 | Quarterly of Applied Mathematics |
| 2006 | |
| On the energy decay of the linear thermoelastic plate with memory | Journal of Mathematical Analysis and Applications |
| 25 | 2005 |
| Asymptotic Decay for Some Differential Systems with Fading Memory | Applicable Analysis |
| 93 | 2002 |
| Global Attractors for a Semilinear Hyperbolic Equation in Viscoelasticity | Journal of Mathematical Analysis and Applications |
| 107 | 2001 |
Refrences Analysis
The category
Science: Mathematics 12
is the most frequently represented among the references in this article. It primarily includes studies from Quarterly of Applied Mathematics and Asymptotic Analysis. 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 |
|---|---|---|---|---|
| A new approach to abstract linear viscoelastic equation in Hilbert space | Zeitschrift für angewandte Mathematik und Physik |
| 2024 | |
| Semigroups of Operators Generated by Integro-Differential Equations with Kernels Representable by Stieltjes Integrals | Journal of Mathematical Sciences | 2024 | ||
| Dynamics of a critical semilinear Lamé system with memory | Zeitschrift für angewandte Mathematik und Physik |
| 2023 | |
Lack of superstable trajectories in linear viscoelasticity: a numerical approach | Numerische Mathematik |
| 2023 | |
| Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations | Applied Mathematics & Optimization |
| 2023 |
Citations Analysis
The category
Science: Mathematics 57
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Exponential and polynomial decay for first order linear Volterra evolution equations and was published in 2009. The most recent citation comes from a 2024 study titled Semigroups of Operators Generated by Integro-Differential Equations with Kernels Representable by Stieltjes Integrals. This article reached its peak citation in 2021, with 14 citations. It has been cited in 35 different journals, 8% of which are open access. Among related journals, the Zeitschrift für angewandte Mathematik und Physik cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.