Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions.

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-13 DOI:10.1186/s13660-018-1762-3

Zhaowen Zheng, Yingjie Zhang, Jing Shao

引用次数: 1

Abstract

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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具有非局部跳跃条件的非线性脉冲微分和积分不等式。

本文给出了一些新的具有非局部积分跳跃条件的非线性脉冲微分和积分不等式。利用数学归纳的方法，得到了一类微分不等式和积分不等式的新的上界估计；这些不等式同时具有非局部积分跳跃和弱奇异核。最后，我们给出了在Riemann-Liouville分数积分条件下估计某些方程解时这些不等式的两个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.