Displaying similar documents to “Dynamical systems with multiplicative perturbations: the strong convergence of measures”

Asymptotic behaviour of a transport equation

Ryszard Rudnicki (1992)

Annales Polonici Mathematici

Similarity:

We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation u t + b u x + c u = a ∫ 0 a x u ( t , a x - y ) μ ( d y ) . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.

Asymptotic behaviour of stochastic systems with conditionally exponential decay property

Agnieszka Jurlewicz, Aleksander Weron, Karina Weron (1996)

Applicationes Mathematicae

Similarity:

A new class of CED systems, providing insight into behaviour of physical disordered materials, is introduced. It includes systems in which the conditionally exponential decay property can be attached to each entity. A limit theorem for the normalized minimum of a CED system is proved. Employing different stable schemes the universal characteristics of the behaviour of such systems are derived.