Yıl 2018, Cilt 2, Sayı 4, Sayfalar 217 - 223 2018-12-24

Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback

Medjahed Djilali [1] , Ali Hakem [2]

15 31

The purpose of this work is to study the exponential decay of the energy for
the one-dimensional transmission wave equation with a boundary velocity feedback.
Thanks to the perturbed energy method developed by some authors in several contexts, and
under certain conditions, we prove that the feedback controller exponentially stabilizes the
equilibrium to zero of the system below, i.e. the feedback leads to faster energy decay.
Boundary feedback, decay rate of energy, exponential stabilization, perturbed energy
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Birincil Dil en
Konular Matematik
Yayımlanma Tarihi December 2018
Dergi Bölümü Articles
Yazarlar

Yazar: Medjahed Djilali (Sorumlu Yazar)
Kurum: Department of Mathematics, Djillali Liabes University, 22000 SIDI-BEL-ABBES, Algeria.
Ülke: Algeria


Yazar: Ali Hakem
Kurum: Djillali Liabes University

Bibtex @araştırma makalesi { atnaa418379, journal = {Advances in the Theory of Nonlinear Analysis and its Application}, issn = {}, eissn = {2587-2648}, address = {Erdal KARAPINAR}, year = {2018}, volume = {2}, pages = {217 - 223}, doi = {10.31197/atnaa.418379}, title = {Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback}, key = {cite}, author = {Djilali, Medjahed and Hakem, Ali} }
APA Djilali, M , Hakem, A . (2018). Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback. Advances in the Theory of Nonlinear Analysis and its Application, 2 (4), 217-223. DOI: 10.31197/atnaa.418379
MLA Djilali, M , Hakem, A . "Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback". Advances in the Theory of Nonlinear Analysis and its Application 2 (2018): 217-223 <http://dergipark.gov.tr/atnaa/issue/39947/418379>
Chicago Djilali, M , Hakem, A . "Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback". Advances in the Theory of Nonlinear Analysis and its Application 2 (2018): 217-223
RIS TY - JOUR T1 - Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback AU - Medjahed Djilali , Ali Hakem Y1 - 2018 PY - 2018 N1 - doi: 10.31197/atnaa.418379 DO - 10.31197/atnaa.418379 T2 - Advances in the Theory of Nonlinear Analysis and its Application JF - Journal JO - JOR SP - 217 EP - 223 VL - 2 IS - 4 SN - -2587-2648 M3 - doi: 10.31197/atnaa.418379 UR - http://dx.doi.org/10.31197/atnaa.418379 Y2 - 2018 ER -
EndNote %0 Advances in the Theory of Nonlinear Analysis and its Application Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback %A Medjahed Djilali , Ali Hakem %T Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback %D 2018 %J Advances in the Theory of Nonlinear Analysis and its Application %P -2587-2648 %V 2 %N 4 %R doi: 10.31197/atnaa.418379 %U 10.31197/atnaa.418379
ISNAD Djilali, Medjahed , Hakem, Ali . "Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback". Advances in the Theory of Nonlinear Analysis and its Application 2 / 4 (Aralık 2018): 217-223. http://dx.doi.org/10.31197/atnaa.418379