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
Descripción
Sumario: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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