期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 19, 期 9, 页码 3001-3010出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2014.01.016
关键词
Impulsive differential equations; Solutions; Bielecki-Ulam's type stability
类别
资金
- National Natural Science Foundation of China [11201091]
- Doctor Project of Guizhou Normal College [13BS010]
- Guizhou Province Education Planning Project [2013A062]
In this paper, we introduce a new class of impulsive differential equations, which is more suitable to characterize memory processes of the drugs in the bloodstream and the consequent absorption for the body. This fact offers many difficulties in applying the usual methods to analysis and novel techniques in Bielecki's normed Banach spaces and thus makes the study of existence and uniqueness theorems interesting. Meanwhile, new concepts of Bielecki-Ulam's type stability are introduced and generalized Ulam-Hyers-Rassias stability results on a compact interval are established. This is another novelty of this paper. Finally, an interesting example is given to illustrate our theory results. (C) 2014 Elsevier B. V. All rights reserved.
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