Asymptotic behavior of strongly monotone time-periodic dynamical processes with symmetry

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic Behavior in Time Periodic Parabolic Problems with Unbounded Coefficients

We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in R×R. Our results generalize and improve asymptotic behavior results for Markov semigroups having an invariant measure. We also study spectral properties of the realization of the parabolic operator u 7→ A(t)u − ut in suitable L spaces.

asymptotic behavior of multivariate reward processes with nonlinear reward functions

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 Differential Equations Driven by Periodic and Random Processes with Slowly Decaying Correlations

We consider a differential equation with a random rapidly varying coefficient. The random coefficient is a Gaussian process with slowly decaying correlations and compete with a periodic component. In the asymptotic framework corresponding to the separation of scales present in the problem, we prove that the solution of the differential equation converges in distribution to the solution of a sto...