Stabilities in multi-valued dynamical systems Original Research Article

For the study of the various stabilities in multi-valued dynamical systems, we obtain some necessary and sufficient conditions of the notions of stability and Lyapunov stability, and investigate the connection between the concepts of attractions and the suitable versions of limit sets. Also we consider the notion of characteristic 0+ in multi-valued dynamical systems and obtain necessary and sufficient conditions for the concept of characteristic 0+.