A note on stability of impulsive differential equations
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
Boundary Value Problems 2014, 2014:67 doi:10.1186/1687-2770-2014-67Published: 24 March 2014
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.