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Open Access Research

A note on stability of impulsive differential equations

YuMei Liao12 and JinRong Wang12*

Author Affiliations

1 School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou, 550018, P.R. China

2 Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China

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Boundary Value Problems 2014, 2014:67  doi:10.1186/1687-2770-2014-67

Published: 24 March 2014

Abstract

In this note, we study a new class of ordinary differential equations with non-instantaneous impulses. Both existence and generalized Ulam-Hyers-Rassias stability results are established. Finally, an example is given to illustrate our theoretical results.

Keywords:
impulsive differential equations; non-instantaneous impulses; stability