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dc.contributor.authorSantos, Mauro de Lima ( )
dc.date.accessioned2020-07-02T22:13:02Z
dc.date.available2020-07-02T22:13:02Z
dc.date.issued2001-11-26
dc.identifier.citationSantos, M. L. (2001). Asymptotic behavior of solutions to wave equations with a memory condition at the boundary. Electronic Journal of Differential Equations, 2001(73), pp. 1-11.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/11949
dc.description.abstractIn this paper, we study the stability of solutions for wave equations whose boundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the relaxation function also decays exponentially. When the relaxation function decays polynomially, we show that the solution decays polynomially and with the same rate.en_US
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.language.isoen_USen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectWave equationsen_US
dc.subjectAsymptotic behavioren_US
dc.titleAsymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundaryen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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