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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 6
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Articles

Stability conditions to Bresse systems with indefinite memory dissipation

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Pages 1066-1084 | Received 27 Jun 2018, Accepted 04 Sep 2018, Published online: 19 Sep 2018
 

ABSTRACT

We study the asymptotic behavior of Bresse system with non-dissipative kernel memory acting only in the equation of longitudinal displacement. We show that the exponential stability depends on conditions regarding the decay rate of the kernel and a new relationship between the coefficients of the system. Moreover, this new condition on the constants of the system is used to prove strong stability and exponential stability for the homogeneous case (frictional dissipation in the longitudinal equation).

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

L. H. Fatori is supported by Fundação Araucária/SETI, grant # 308/2012.

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