Controllability Of A Class Of Development Inclusions In The Banach Space

Differential inclusion is an important branch of non-linear analysis theory, it has a wide range of applications in engineering, economy, optimization theory and other fields, and in recent years, it has seen rapidly development. Soviet Union and Eastern Europe, some scholars have conducted a study of differential inclusions and obtain some results. Since the eighties, There is considerable literature to discuss the initial value problem of differential inclusion, and set-valued mapping analysis for the study of the nature of gradual improvement. Promoting the vigorousdevelopment in recent differential inclusion is the control theory: In the recent years, the set value analysis theory and the differential inclusion theory have gradually improved, controllability and research work of optimal controlhave also been further developed. The main results are as follows: 1,The use of non-compactness and Monch fixed point theorem gives suffi-cient condition for controllability of evolution differential inclusions.Consider the following system:(?) 2,Using the fixed point theorem studies controllability of development differ-ential contain on the non-partial condition. Considering the following system: (?) to give sufficient condition for controllability of development differential contain on the non-partial condition.