Solution estimates and stability tests for nonlinear delay integro-differential equations

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dc.contributor.authorPinelas, Sandra
dc.contributor.authorTunc, Osman
dc.date.accessioned2023-05-15T18:11:18Z
dc.date.available2023-05-15T18:11:18Z
dc.date.issued2022-10-05
dc.description.abstractIn this article, we examine various qualitative features of solutions of a nonlinear delay integro-differential equation. We prove three new theorems which include sufficient conditions on asymptotic stability (AS), integrability, and boundedness of solutions, using a suitable Lyapunov-Krasovskii functional. We present examples that show applications of our results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPinelas, S., Tunç, O. (2022). Solution estimates and stability tests for nonlinear delay integro-differential equations. Electronic Journal of Differential Equations, 2022(68), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16792
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectLyapunov- Krasovskii functions
dc.subjectDelay integro-differential equation
dc.subjectQualitative properties
dc.titleSolution estimates and stability tests for nonlinear delay integro-differential equationsen_US
dc.typeArticle

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