Stability and stationary oscillation of differential-algebraic interval systems;

Persistence and stationary oscillation of the cyclic and predator-prey system of three species with Holling s type III functional response;

Stationary Oscillation for Nonlinear Periodic Systems;

In this paper, the stable oscillations of a linear delay large-scale system are discussed by using the theroem of large-scale systems and the fixed-point theroem and the Lyapunov function.

The sufficient criteria for stable oscillation or class of non artonomous system is obtained.

Further,we discuss the problem of stable oscillation for a class oflarge scale non-linear time-varying period discrete system.

In this paper, the method of singular Lyapunov function is used to study singular nonlinear systems, the sufficient conditions about its asymptotic stability and the harmonic oscillation theorm for it are given.

The existence of periodic of the discrete large scale systems was studied by using Lyapunov s method, the several new sufficient conditions are obtained for the existence of a unique asymptotically stable m periodic solution namely harmonic oscillation in the discrete large scale systems.