Exponential stability and blow-up for abstract nonlinear system with source terms

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dc.contributor.authorWang, Peipei
dc.contributor.authorHao, Jianghao
dc.date.accessioned2022-09-26T19:06:10Z
dc.date.available2022-09-26T19:06:10Z
dc.date.issued2017-11-28
dc.description.abstractIn this article we consider an abstract nonlinear system with nonlinear source terms. We prove the exponential stability by the energy method. Also under suitable conditions on the initial values, we show that the nonlinear source terms are able to guarantee the blow-up of the solutions by convex method.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, P., & Hao, J. (2017). Exponential stability and blow-up for abstract nonlinear system with source terms. Electronic Journal of Differential Equations, 2017(297), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16169
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectAbstract nonlinear system
dc.subjectExponential decay
dc.subjectConvex method
dc.subjectBlow-up
dc.titleExponential stability and blow-up for abstract nonlinear system with source terms
dc.typeArticle

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