Energy decay in a Timoshenko-type system for thermoelasticity of type III with distributed delay and past history

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dc.contributor.authorHao, Jianghao
dc.contributor.authorWang, Fei
dc.date.accessioned2022-01-26T21:29:27Z
dc.date.available2022-01-26T21:29:27Z
dc.date.issued2018-03-17
dc.description.abstractIn this work, we consider a one-dimensional Timoshenko system of thermoelasticity of type III with past history and distributive delay. It is known that an arbitrarily small delay may be the source of instability. We establish the well-posedness and the stability of the system for the cases of equal and nonequal speeds of wave propagation respectively. Our results show that the damping effect is strong enough to uniformly stabilize the system even in the presence of time delay under suitable conditions and improve the related results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent27 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHao, J., & Wang, F. (2018). Energy decay in a Timoshenko-type system for thermoelasticity of type III with distributed delay and past history. <i>Electronic Journal of Differential Equations, 2018</i>(75), pp. 1-27.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15217
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectTimoshenko system
dc.subjectPast history
dc.subjectRelaxation function
dc.subjectDistributed delay
dc.subjectEnergy decay
dc.titleEnergy decay in a Timoshenko-type system for thermoelasticity of type III with distributed delay and past history
dc.typeArticle

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