Mild solutions to nonlocal impulsive differential inclusions governed by a noncompact semigroup
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Authors
Shaochun Ji
- Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, P. R. China.
Abstract
In this paper, we study the existence of mild solutions to impulsive differential inclusions with nonlocal conditions in general
Banach spaces when operator semigroup is not compact. By using measure of noncompactness and multivalued analysis, we
give some sufficient conditions on the existence results where the impulsive items and the nonlocal items are compact and
Lipschitz continuous, respectively. An example concerning with the partial differential equation is also presented.
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ISRP Style
Shaochun Ji, Mild solutions to nonlocal impulsive differential inclusions governed by a noncompact semigroup, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 492--503
AMA Style
Ji Shaochun, Mild solutions to nonlocal impulsive differential inclusions governed by a noncompact semigroup. J. Nonlinear Sci. Appl. (2017); 10(2):492--503
Chicago/Turabian Style
Ji, Shaochun. "Mild solutions to nonlocal impulsive differential inclusions governed by a noncompact semigroup." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 492--503
Keywords
- Differential inclusions
- impulsive conditions
- fixed point theorems
- measure of noncompactness
- nonlocal conditions.
MSC
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