Gronwall–Bellman estimates for linear Volterra-type inequalities with delay
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University of Szeged
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Abstract
We obtain some estimates of Gronwall–Bellman-type for Volterra’s inequalities, which have applications to the study of the stability properties of the solutions to some linear functional differential equations.
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Buedo-Fernández, S., & Rodríguez-López, R. (2018). Gronwall–Bellman estimates for linear Volterra-type inequalities with delay. Electronic Journal Of Qualitative Theory Of Differential Equations, (83), 1-16. doi: 10.14232/ejqtde.2018.1.83
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https://doi.org/10.14232/ejqtde.2018.1.83Sponsors
This research was partially supported by Agencia Estatal de Investigación of Spain (under grant MTM2016-75140-P, cofunded by European Community fund FEDER) and Consellería de Cultura, Educación e Ordenación Universitaria da Xunta de Galicia (under grants GRC2015/004 and R2016-022).
Ministerio de Educación, Cultura y Deporte of Spain (grant FPU16/04416) and Consellería de Cultura, Educación e Ordenación Universitaria da Xunta de Galicia (grant ED481A-2017/030) also partially supported the research of Sebastián Buedo-Fernández
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© 2018 by the authors. Published by The Electronic Journal of Qualitative Theory of Differential Equations. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)