Mild solutions to nonlocal impulsive differential inclusions governed by a noncompact semigroup


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.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References