A generalized Gronwall-Bellman type delay integral inequality with two independent variables on time scales

Yuzhen Mi

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A generalized Gronwall-Bellman type delay integral inequality with two independent variables on time scales

机译：时标上具有两个自变量的广义Gronwall-Bellman型时滞积分不等式

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Using a technique of monotonization, this paper investigates a generalized Gronwall-Bellman type delay integral inequality with two independent variables on time scales. The resultnot only unifies some continuous inequalities and their discrete analogues but also extends someknown integral inequalities on time scales. An application to the estimation of solutions of delaydynamic integral equations on time scales is also given.

机译：本文使用单调技术研究了广义的Gronwall-Bellman型时滞积分不等式，该时滞具有两个自变量。结果不仅统一了一些连续的不等式及其离散类似物，而且在时间尺度上扩展了一些已知的积分不等式。还给出了在时标上估计时滞动力积分方程解的应用。

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《Journal of Mathematical Inequalities》 |2017年第4期|共10页
作者
Yuzhen Mi;
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中图分类数学;
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1. Generalized Delay Integral Inequalities In Two Independent Variables On Time Scales [J] . Qinghua Feng, Bosheng Fu WSEAS Transactions on Mathematics . 2013,第7a9期

机译：时间尺度上两个自变量的广义时滞积分不等式
2. Gronwall-Bellman type nonlinear delay integral inequalities on time scales [J] . Feng Q., Meng F., Zheng B. Journal of Mathematical Analysis and Applications . 2011,第2期

机译：时标上的Gronwall-Bellman型非线性延迟积分不等式
3. Some generalized Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs [J] . Liu Haidong, Yin Chuancun Advances in Difference Equations . 2020,第a期

机译：一些普遍的Volterra-Fredholm型在时间尺度对中的两个独立变量中的动态积分不等式
4. Analysis on stability for generalized neural networks with time-varying delays via second-order orthogonal polynomials-based integral inequality [C] . Seok Young Lee, Min Su Kim, Chaneun Park, International conference on control, automation and systems . 2017

机译：基于二阶正交多项式积分不等式的时滞广义神经网络稳定性分析
5. Caputo Nabla Fractional Boundary Value Problems and Integral Inequalities on Time Scales [D] . Hu, Wei 2019

机译：Caputo Nabla分数阶边值问题和时间尺度上的积分不等式
6. Synchronization of generalized reaction-diffusion neural networks with time-varying delays based on general integral inequalities and sampled-data control approach [O] . S. Dharani, R. Rakkiyappan, Jinde Cao, 2017

机译：基于一般积分不等式和采样数据控制方法的时变时滞广义反应扩散神经网络的同步
7. A generalized Gronwall-Bellman type delay integral inequality with two independent variables on time scales [O] . Yuz en Mi 2017

机译：通用Gronwall-Bellman类型延迟积分不等式，两个独立变量在时间尺度上

A generalized Gronwall-Bellman type delay integral inequality with two independent variables on time scales

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