Integral inequalities of Gronwall type for piecewise continuous functions

Author:

Bainov Drumi D.1,Hristova Snezhana G.2

Affiliation:

1. Medical University of Sofia, P.O. Box 45, Sofia 1504, Bulgaria

2. Plovdiv University “Paissii Hilendarski”, Tsar Asen Str., 24, Plovdiv 4000, Bulgaria

Abstract

In this paper we generalize the integral inequality of Gronwall and study the continuous dependence of the solution of the initial value problem for nonlinear impulsive integro-differential equations of Volterra type on the initial conditions.

Funder

Bulgarian Ministry of Education, Science and Technologies

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. References;Fractional Difference, Differential Equations, and Inclusions;2024

2. Preliminary background;Fractional Difference, Differential Equations, and Inclusions;2024

3. Existence and Ulam Stability of Solution for Some Backward Impulsive Differential Equations on Banach Spaces;Armenian Journal of Mathematics;2021-11-04

4. Existence and Stability of Solutions of Katugampola-Caputo Type Implicit Fractional Differential Equations with Impulses;Fundamental Journal of Mathematics and Applications;2018-12-25

5. Approximate solutions of impulsive integro-differential equations;Arabian Journal of Mathematics;2018-02-24

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