Existence results for abstract semilinear evolution differential inclusions with nonlocal conditions
1 Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211100, P.R. China
2 Department of Mathematics, Yangzhou University, Yangzhou, 225002, P.R. China
Boundary Value Problems 2013, 2013:153 doi:10.1186/1687-2770-2013-153Published: 1 July 2013
In this paper, we use a new method to study semilinear evolution differential inclusions with nonlocal conditions in Banach spaces. We derive conditions for F and g for the existence of mild solutions. The results obtained here improve and generalize many known results.
MSC: 34A60, 34G20.