On the Boundedness Properties of Solutions to Set Control Differential Equations

The set-valued differential equations (SDEs) are important parts of the set-valued analysis theory. It was investigeted by professor Lakshmikantham V., and many other authors (see[1]-[6],[8]-[10]). Beside that, we have to studied the problems of existence, comparison and stability of set solutions to the set-valued control differential equations (SCDEs) (see[7],[11]-[16]). In this paper, we present the problems of boundedness for set solutions to the Set Control Differential Equations (SCDEs) by the Lyapunov-like functions and by admisible control- feedback.