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Volume 32, Issue 2
Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term

Fatima. Z. Mahdi & Ali Hakem

DOI: 10.4208/jpde.v32.n2.1

J. Part. Diff. Eq., 32 (2019), pp. 93-111.

Published online: 2019-07

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  • Abstract

The authors of this paper study the Bresse system in bounded domain with delay terms. First, we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.

  • Keywords

Semi group approach Bresse system energy decay.

  • AMS Subject Headings

35L05, 35L15, 35L70, 93D15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mahdifatimazohra@yahoo.fr (Fatima. Z. Mahdi)

hakemali@yahoo.com (Ali Hakem)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-93, author = {Mahdi , Fatima. Z. and Hakem , Ali}, title = {Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {2}, pages = {93--111}, abstract = {

The authors of this paper study the Bresse system in bounded domain with delay terms. First, we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n2.1}, url = {http://global-sci.org/intro/article_detail/jpde/13236.html} }
TY - JOUR T1 - Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term AU - Mahdi , Fatima. Z. AU - Hakem , Ali JO - Journal of Partial Differential Equations VL - 2 SP - 93 EP - 111 PY - 2019 DA - 2019/07 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/13236.html KW - Semi group approach KW - Bresse system KW - energy decay. AB -

The authors of this paper study the Bresse system in bounded domain with delay terms. First, we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.

Mahdi , Fatima. Z. and Hakem , Ali. (2019). Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term. Journal of Partial Differential Equations. 32 (2). 93-111. doi:10.4208/jpde.v32.n2.1
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