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Exponential stability and instability in nonlinear differential equation with multiple delays

dc.creatorAfful, Adusei-Poku
dc.creatorYankson, Ernest
dc.date2023-05-10
dc.date.accessioned2023-05-11T20:41:54Z
dc.date.available2023-05-11T20:41:54Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4197
dc.identifier10.22199/issn.0717-6279-4197
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/225547
dc.descriptionInequalities regarding the solutions of the nonlinear differential equation with multiple delays xl(t) = a(t)f(x(t)) +Σni=1bi(t)f(x(t − hi)), are obtained by means of Lyapunov functionals. These inequalities are then used to obtain sufficient conditions that guarantee exponential decay of solutions to zero of the multi delay nonlinear differential equation. In addition, we obtain a criterion for the instability of the zero solution. The results generalizes some results in the literature.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4197/4293
dc.rightsCopyright (c) 2023 Adusei-Poku Afful, Ernest Yanksonen-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 42 No. 3 (2023); 681-693en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 42 Núm. 3 (2023); 681-693es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2023-03
dc.subjectexponential stabilityen-US
dc.subjectLyapunov functionalen-US
dc.subjectinstabilityen-US
dc.subject34D20en-US
dc.subject34C11en-US
dc.titleExponential stability and instability in nonlinear differential equation with multiple delaysen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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