Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions

Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and integral inequalities; these inequalities have both n...

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Detalles Bibliográficos
Autores principales: Zheng, Zhaowen, Zhang, Yingjie, Shao, Jing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061581/
https://www.ncbi.nlm.nih.gov/pubmed/30137898
http://dx.doi.org/10.1186/s13660-018-1762-3
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author Zheng, Zhaowen
Zhang, Yingjie
Shao, Jing
author_facet Zheng, Zhaowen
Zhang, Yingjie
Shao, Jing
author_sort Zheng, Zhaowen
collection PubMed
description Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and integral inequalities; these inequalities have both nonlocal integral jump and weakly singular kernels. Finally, we give two examples of these inequalities in estimating solutions of certain equations with Riemann–Liouville fractional integral conditions.
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spelling pubmed-60615812018-08-09 Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions Zheng, Zhaowen Zhang, Yingjie Shao, Jing J Inequal Appl Research Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and integral inequalities; these inequalities have both nonlocal integral jump and weakly singular kernels. Finally, we give two examples of these inequalities in estimating solutions of certain equations with Riemann–Liouville fractional integral conditions. Springer International Publishing 2018-07-13 2018 /pmc/articles/PMC6061581/ /pubmed/30137898 http://dx.doi.org/10.1186/s13660-018-1762-3 Text en © The Author(s) 2018 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
Zheng, Zhaowen
Zhang, Yingjie
Shao, Jing
Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
title Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
title_full Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
title_fullStr Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
title_full_unstemmed Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
title_short Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
title_sort nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061581/
https://www.ncbi.nlm.nih.gov/pubmed/30137898
http://dx.doi.org/10.1186/s13660-018-1762-3
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AT zhangyingjie nonlinearimpulsivedifferentialandintegralinequalitieswithnonlocaljumpconditions
AT shaojing nonlinearimpulsivedifferentialandintegralinequalitieswithnonlocaljumpconditions

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