Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions

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dc.contributor.authorFerreira, Jorge
dc.contributor.authorPereira, Ducival C.
dc.contributor.authorSantos, Mauro de Lima
dc.date.accessioned2021-01-08T17:28:27Z
dc.date.available2021-01-08T17:28:27Z
dc.date.issued2003-08-14
dc.description.abstractWe consider a coupled system of two nonlinear wave equations of Kirchhoff type with nonlocal boundary condition and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay at the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decay exponentially and polynomially when the relaxation functions decay polynomially.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFerreira, J., Pereira, D. C., & Santos, M. L. (2003). Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions. <i>Electronic Journal of Differential Equations, 2003</i>(85), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13093
dc.language.isoen
dc.publisherSouthwest Texas 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectCoupled system
dc.subjectWave equation
dc.subjectGalerkin method
dc.subjectAsymptotic behavior
dc.subjectBoundary value problem
dc.titleStability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions
dc.typeArticle

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