Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 1: Variational Analysis, Optimization and Optimal Control. Guest editors: Der-Chen Chang, Robert P. Gilbert, Yongzhi Steve Xu and Jen-Chih Yao
Submit an article Journal homepage
197
Views
32
CrossRef citations to date
0
Altmetric
Articles

Asymptotic behavior for coupled abstract evolution equations with one infinite memory

Aissa GuesmiaElie Cartan Institute of Lorraine, UMR 7502, University of Lorraine, Bat. A, Ile du Saulcy, 57045Metz Cedex 01, France.Correspondence[email protected]
Pages 184-217 | Received 19 Aug 2013, Accepted 30 Jan 2014, Published online: 12 Mar 2014

Citations (32)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Guilherme F. Tyszka & Higidio Portillo Oquendo. (2023) Indirect stabilization of a coupled system by memory effects. Applicable Analysis 102:9, pages 2591-2610.
Read now
Adel M. Al-Mahdi & Mohammad M. Al-Gharabli. (2022) Energy decay in a viscoelastic equation with past history and boundary feedback. Applicable Analysis 101:13, pages 4743-4758.
Read now

Articles from other publishers (30)

Meradjah Ibrahim, Louhibi Naima & Benaissa Abbes. (2023) Stability of a Schrödinger equation with internal fractional damping. Annals of the University of Craiova Mathematics and Computer Science Series 50:2, pages 427-441.
Crossref
Yajing Zhang & Lujuan Liu. (2023) Stabilization for weakly coupled string–riser system with partial frictional damping. Mathematical Methods in the Applied Sciences 46:18, pages 19429-19451.
Crossref
Rafael Lima Oliveira, Higidio Portillo Oquendo & Celene Buriol. (2023) Exact decay rates for weakly coupled systems with indirect damping by fractional memory effects. Mathematische Nachrichten 296:10, pages 4610-4633.
Crossref
Aissa Guesmia. (2023) On the $$L^2 ({\mathbb {R}})$$-Norm Decay Estimates for Two Cauchy Systems of Coupled Wave Equations Under Frictional Dampings. Communications on Applied Mathematics and Computation.
Crossref
Guilherme F. Tyszka, María R. Astudillo & Higidio Portillo Oquendo. (2022) Indirect stabilization on Kirchhoff plates by memory effects. Journal of Evolution Equations 23:1.
Crossref
Zayd Hajjej & Menglan Liao. (2023) Exponential stability of a system of coupled wave equations by second order terms with a past history. AIMS Mathematics 8:12, pages 28450-28464.
Crossref
Adel M. Al-Mahdi. (2023) The coupling system of Kirchhoff and Euler-Bernoulli plates with logarithmic source terms: Strong damping versus weak damping of variable-exponent type. AIMS Mathematics 8:11, pages 27439-27459.
Crossref
Guilherme F. Tyszka, María R. Astudillo & Higidio Portillo Oquendo. (2022) Stabilization by memory effects: Kirchhoff plate versus Euler–Bernoulli plate. Nonlinear Analysis: Real World Applications 68, pages 103655.
Crossref
Kun‐Peng Jin. (2021) Indirect stabilization of coupled abstract evolution equations with memory: Different propagation speeds. Mathematical Methods in the Applied Sciences 45:8, pages 4451-4467.
Crossref
Aissa Guesmia, Jaime E. Muñoz Rivera, Mauricio A. Sepúlveda Cortés & Octavio Vera Villagrán. (2021) Laminated Timoshenko beams with interfacial slip and infinite memories. Mathematical Methods in the Applied Sciences 45:8, pages 4408-4427.
Crossref
M. M. Cavalcanti, V. N. Domingos Cavalcanti, A. Guesmia & M. Sepúlveda. (2022) Well-Posedness and Stability for Schrödinger Equations with Infinite Memory. Applied Mathematics & Optimization 85:2.
Crossref
A Guesmia, J E MuÑoz Rivera, M A Sepúlveda CortÉs & O Vera VillagrÁn. (2021) Well-Posedness and Stability of a Generalized Micropolar Thermoelastic Body With Infinite Memory. The Quarterly Journal of Mathematics 72:4, pages 1495-1515.
Crossref
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli & Salim A. Messaoudi. (2021) New general decay of solutions in a porous-thermoelastic system with infinite memory. Journal of Mathematical Analysis and Applications 500:1, pages 125136.
Crossref
Mohammad Akil, Haidar Badawi, Serge Nicaise & Ali Wehbe. (2021) Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface. Mathematical Methods in the Applied Sciences 44:8, pages 6950-6981.
Crossref
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Aissa Guesmia & Salim A. Messaoudi. (2021) New decay results for a viscoelastic-type Timoshenko system with infinite memory. Zeitschrift für angewandte Mathematik und Physik 72:1.
Crossref
K. Laoubi & D. Seba. (2020) Polynomial Decay Rate for Dissipative Wave Equations with Mixed Boundary Conditions. Acta Applicandae Mathematicae 169:1, pages 629-646.
Crossref
Aissa Guesmia. (2020) NEW GENERAL DECAY RATES OF SOLUTIONS FOR TWO VISCOELASTIC WAVE EQUATIONS WITH INFINITE MEMORY. Mathematical Modelling and Analysis 25:3, pages 351-373.
Crossref
Wenjun Liu & Zhijing Chen. (2020) General decay rate for a Moore–Gibson–Thompson equation with infinite history. Zeitschrift für angewandte Mathematik und Physik 71:2.
Crossref
Karima Laoubi & Djamila Seba. 2020. Computational Mathematics and Applications. Computational Mathematics and Applications 209 232 .
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli & Mohammad Kafini. (2019) A new general decay result for abstract evolution equation with time-dependent nonlinear dissipation. ANNALI DELL'UNIVERSITA' DI FERRARA 65:2, pages 201-230.
Crossref
Kun-Peng Jin, Jin Liang & Ti-Jun Xiao. (2019) Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory. Journal of Mathematical Analysis and Applications 475:1, pages 554-575.
Crossref
Kun-Peng Jin, Jin Liang & Ti-Jun Xiao. (2019) Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings. Journal of Differential Equations 266:11, pages 7230-7263.
Crossref
Abdelkader Braik, Abderrahmane Beniani & Khaled Zennir. (2017) Polynomial stability for system of 3 wave equations with infinite memories. Mathematical Methods in the Applied Sciences 41:1, pages 112-126.
Crossref
Aissa Guesmia. (2017) Well-posedness and energy decay for Timoshenko systems with discrete time delay under frictional damping and/or infinite memory in the displacement. Afrika Matematika 28:7-8, pages 1253-1284.
Crossref
Aissa Guesmia. (2017) Asymptotic Stability of Bresse System with One Infinite Memory in the Longitudinal Displacements. Mediterranean Journal of Mathematics 14:2.
Crossref
Yanqiu Guo, Mohammad A. Rammaha & Sawanya Sakuntasathien. (2017) Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities. Journal of Differential Equations 262:3, pages 1956-1979.
Crossref
Abderrahmane Beniani, Abbes Benaissa & Khaled Zennir. (2016) Polynomial Decay of Solutions to the Cauchy Problem for a Petrovsky?Petrovsky System in R n $\mathbb{R}^{n}$. Acta Applicandae Mathematicae 146:1, pages 67-79.
Crossref
Aissa Guesmia & Mokhtar Kirane. (2016) Uniform and weak stability of Bresse system with two infinite memories. Zeitschrift für angewandte Mathematik und Physik 67:5.
Crossref
Aissa GUESMIA & Salim MESSAOUDI. (2016) Some stability results for timoshenko systems with cooperative frictional and infinite-memory dampings in the displacement. Acta Mathematica Scientia 36:1, pages 1-33.
Crossref
M.M. Cavalcanti, V.N. Domingos Cavalcanti & A. Guesmia. (2015) Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory. Journal of Differential Equations 259:12, pages 7540-7577.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.