On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations-Reference-Cited by-同舟云学术

On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations

Published:2016 Issue: Volume:2016 Page:1-6
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zada Akbar¹,Faisal Shah¹,Li Yongjin²^ORCID

Affiliation:

1. Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

2. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China

Abstract

This paper proves the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of nonlinear first-order ordinary differential equation with single constant delay and finite impulses on a compact interval. Our approach uses abstract Gronwall lemma together with integral inequality of Gronwall type for piecewise continuous functions.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2016/8164978.pdf

Reference37 articles.

1. On the Stability of the Linear Functional Equation

2. On the Stability of the linear Transformation in Banach Spaces.

3. Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

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