On the stability of new impulsive ordinary differential equations

JinRong Wang, Zeng Lin, Yong Zhou

DOI: http://dx.doi.org/10.12775/TMNA.2015.048

Abstract


In this paper, we study new impulsive ordinary differential equations and apply fixed point approach to establish existence and uniqueness theorem and derive an interesting stability result in the sense of generalized $\beta$-Ulam--Hyers--Rassias. At last, two examples are given to demonstrate the applicability of our result.

Keywords


Impulsive differential equations, fixed point approach,stability

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