1. Nonlinear evolution inclusions: Topological characterizations of solution sets and applications.
- Author
-
Chen, De-Han, Wang, Rong-Nian, and Zhou, Yong
- Subjects
- *
NONLINEAR theories , *TOPOLOGY , *SET theory , *TIME delay systems , *BANACH spaces , *FUNCTIONAL analysis - Abstract
Abstract: This paper deals with a nonlinear delay differential inclusion of evolution type involving m-dissipative operator and source term of multi-valued type in a Banach space. Under rather mild conditions, the -structure of -solution set is studied on compact intervals, which is then used to obtain the -property on non-compact intervals. Secondly, the result about the structure is furthermore employed to show the existence of -solutions for the inclusion (mentioned above) subject to nonlocal condition defined on right half-line. No nonexpansive condition on nonlocal function is needed. As samples of applications, we consider a partial differential inclusion with time delay and then with nonlocal condition at the end of the paper. [Copyright &y& Elsevier]
- Published
- 2013
- Full Text
- View/download PDF