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
Descripción
Sumario: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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