Asymptotic Behavior of a Periodic Diffusion System

Asymptotic Behavior of a Periodic Diffusion System

Asymptotic Behavior of Solutions of a Periodic Diffusion Equation

We consider a degenerate parabolic equation with logistic periodic sources. First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method. Then by using Moser iterative technique and the method of contradiction, we establish the boundedness estimate of nonnegative periodic solutions, by which we show that the attraction of nontrivial nonnegative periodic ...

Asymptotic Behavior for Asymptotically Periodic

The properties of ω-limit set and global asymptotic behavior are first obtained for asymptotically autonomous discrete dynamical processes on metric spaces.Then certain equivalence of the asymptotic behavior between an asymptotically periodic semiflows and its associated asymptotically autonomous discrete dynamical process is proved. As some applications, the global behavior of asymptotically p...

Asymptotic behavior of a system of two difference equations of exponential form

In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

ASYMPTOTIC BEHAVIOR OF PERIODIC H ∞ a Posteriori FILTERS *

The asymptotic behavior of linear periodic discrete-time H∞ a posteriori filters is discussed in this paper. We extend existing results for time-invariant H∞ filters to Editor: (1) Please provide dates. (2) We left ‘a posteriori’ as italic. OK? study the problems arising from periodic discrete-time systems. Based on quasi-lifting techniques, a sufficient condition for ensuring feasibility and c...