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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 10
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Original Articles

Polynomial stability of a coupled system of wave equations weakly dissipative

Mauro Lima Santos Departamento de Matemática, Universidade Federal do Pará, Campus Universitário do Guamá, Rua Augusto Corrêa 01, Cep 66075-110, Pará, BrazilCorrespondence[email protected]
,
M. P. C. Rocha Departamento de Matemática, Universidade Federal do Pará, Campus Universitário do Guamá, Rua Augusto Corrêa 01, Cep 66075-110, Pará, Brazil
&
S. C. Gomes Departamento de Matemática, Universidade Federal do Pará, Campus Universitário do Guamá, Rua Augusto Corrêa 01, Cep 66075-110, Pará, Brazil
Pages 1293-1302 | Received 15 May 2007, Accepted 10 Aug 2007, Published online: 21 Sep 2010

Citations (8)

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Read on this site (1)

M. J. Dos Santos, M. M. Freitas, A. J. A. Ramos & D. S. Almeida Júnior. (2022) Asymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equations. Dynamical Systems 37:1, pages 29-55.
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Articles from other publishers (7)

Liqun Zhou, Quanxin Zhu & Tingwen Huang. (2023) Global Polynomial Synchronization of Proportional Delayed Inertial Neural Networks. IEEE Transactions on Systems, Man, and Cybernetics: Systems 53:7, pages 4487-4497.
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Zhuang Yao, Ziye Zhang, Zhen Wang, Chong Lin & Jian Chen. (2022) Polynomial synchronization of complex-valued inertial neural networks with multi-proportional delays. Communications in Theoretical Physics 74:12, pages 125801.
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Liqun Zhou & Zhixue Zhao. (2022) Global polynomial periodicity and polynomial stability of proportional delay Cohen–Grossberg neural networks. ISA Transactions 122, pages 205-217.
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Liqun Zhou & Zhixue Zhao. (2020) Asymptotic Stability and Polynomial Stability of Impulsive Cohen–Grossberg Neural Networks with Multi-proportional Delays. Neural Processing Letters 51:3, pages 2607-2627.
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Liqun Zhou & Zhixue Zhao. (2020) Exponential synchronization and polynomial synchronization of recurrent neural networks with and without proportional delays. Neurocomputing 372, pages 109-116.
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R. F. C. Lobato, S. M. S. Cordeiro, M. L. Santos & D. S. Almeida Júnior. (2014) Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties. Journal of Applied Mathematics 2014, pages 1-9.
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R.G.C. Almeida & M.L. Santos. (2011) Lack of exponential decay of a coupled system of wave equations with memory. Nonlinear Analysis: Real World Applications 12:2, pages 1023-1032.
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