Global asymptotic stability with respect to part of the variables for solutions of systems of ordinary differential equations
The present paper gives sufficient conditions for stability with respect to part of the variables and proposes a novel approach to the study of state trajectories of ordinary differential equations that is based on constructing special functions that are coined as admissible functions and do not coincide with Lyapunov functions. A global stability theorem is proved. Some applications of this theorem are considered.
global asymptotic stability with respect to part of variables
scientific article; zbMATH DE number 7219731