Abstract
In this paper, we first present \(\beta \)-Ulam–Hyers–Rassias stability results for nonautonomous impulsive evolution equations on a compact interval and an unbounded interval. Second, we give some extensions of \(\beta \)-Ulam–Hyers–Rassias stability for infinite impulses case. Finally, we give two examples to illustrate our results.
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Acknowledgments
The authors thank the referees and editor for their careful reading of the manuscript and insightful comments, which helped to improve the quality of the paper. We would also like to acknowledge the valuable comments and suggestions from the editors, which vastly contributed to improve the presentation of the paper. This work is supported by the National Natural Science Foundation of China (11201091), Doctor Project of Guizhou Normal College (13BS010) and Guizhou Province Education Planning Project (2013A062).
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Yu, X., Wang, J. & Zhang, Y. On the \(\beta \)-Ulam–Hyers–Rassias stability of nonautonomous impulsive evolution equations. J. Appl. Math. Comput. 48, 461–475 (2015). https://doi.org/10.1007/s12190-014-0813-2
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DOI: https://doi.org/10.1007/s12190-014-0813-2