On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order

In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and [Formula: see text]-solutions, upper bounds for values of improper integrals of the solutions and their derivatives are establis...

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Detalles Bibliográficos
Autores principales: Tunç, Cemil, Tunç, Osman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2016
Materias:
Short Communication
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4703524/
https://www.ncbi.nlm.nih.gov/pubmed/26843982
http://dx.doi.org/10.1016/j.jare.2015.04.005
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author Tunç, Cemil
Tunç, Osman
author_facet Tunç, Cemil
Tunç, Osman
author_sort Tunç, Cemil
collection PubMed
description In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and [Formula: see text]-solutions, upper bounds for values of improper integrals of the solutions and their derivatives are established to the considered system. The obtained results in this paper are considered as extension to the results obtained by Kroopnick (2014) [1]. An example is given to illustrate the obtained results.
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spelling pubmed-47035242016-02-03 On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order Tunç, Cemil Tunç, Osman J Adv Res Short Communication In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and [Formula: see text]-solutions, upper bounds for values of improper integrals of the solutions and their derivatives are established to the considered system. The obtained results in this paper are considered as extension to the results obtained by Kroopnick (2014) [1]. An example is given to illustrate the obtained results. Elsevier 2016-01 2015-04-21 /pmc/articles/PMC4703524/ /pubmed/26843982 http://dx.doi.org/10.1016/j.jare.2015.04.005 Text en © 2015 Production and hosting by Elsevier B.V. on behalf of Cairo University. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Short Communication
Tunç, Cemil
Tunç, Osman
On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
title On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
title_full On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
title_fullStr On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
title_full_unstemmed On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
title_short On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
title_sort on the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order
topic Short Communication
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4703524/
https://www.ncbi.nlm.nih.gov/pubmed/26843982
http://dx.doi.org/10.1016/j.jare.2015.04.005
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