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

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)

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@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} }
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