Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay

In this paper, we give sufficient conditions for the boundedness, uniform asymptotic stability and square integrability of the solutions to a certain fourth order non-autonomous differential equations with delay by using Lyapunov’s second method. The results obtained essentially improve, include and...

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Detalles Bibliográficos
Autor principal: Korkmaz, Erdal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487950/
https://www.ncbi.nlm.nih.gov/pubmed/28680237
http://dx.doi.org/10.1186/s13660-017-1353-8
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author Korkmaz, Erdal
author_facet Korkmaz, Erdal
author_sort Korkmaz, Erdal
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description In this paper, we give sufficient conditions for the boundedness, uniform asymptotic stability and square integrability of the solutions to a certain fourth order non-autonomous differential equations with delay by using Lyapunov’s second method. The results obtained essentially improve, include and complement the results in the literature.
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spelling pubmed-54879502017-07-03 Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay Korkmaz, Erdal J Inequal Appl Research In this paper, we give sufficient conditions for the boundedness, uniform asymptotic stability and square integrability of the solutions to a certain fourth order non-autonomous differential equations with delay by using Lyapunov’s second method. The results obtained essentially improve, include and complement the results in the literature. Springer International Publishing 2017-06-09 2017 /pmc/articles/PMC5487950/ /pubmed/28680237 http://dx.doi.org/10.1186/s13660-017-1353-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Korkmaz, Erdal
Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
title Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
title_full Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
title_fullStr Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
title_full_unstemmed Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
title_short Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
title_sort stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487950/
https://www.ncbi.nlm.nih.gov/pubmed/28680237
http://dx.doi.org/10.1186/s13660-017-1353-8
work_keys_str_mv AT korkmazerdal stabilityandsquareintegrabilityofderivativesofsolutionsofnonlinearfourthorderdifferentialequationswithdelay

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