On the asymptotic behaviour of nonlinear contraction semigroups.

On the Asymptotic Behaviour of Perturbed Semigroups

We give conditions on a strongly continuous semigroup T and a bounded perturbation B such that the perturbed semigroup S preserves asymptotic properties as boundedness, asymptotic almost periodicity, uniform ergodicity and total uniform ergodicity. In the rst systematic treatise on perturbation of semigroups, R.S.Phillips 10] proved in 1953 that, if A is the innnitesimal generator of a strongly...

Asymptotic Behaviour of Nonlinear Systems

On the Convergence of Difference Approximations to Nonlinear Contraction Semigroups in Hubert Spaces

Convergence properties of the difference schemes k k (S) h S a-u +i + Z ß-Au ., = 0, n > 0, ;=0 ' nT' /=0 ' " ' for evolution equations (E) ^1 + Au(t) = o, t > 0; u(0) = "0 e dJÄ) are studied. Here A is a nonlinear, maximally monotone operator in a real Hubert space. It is shown, in particular, that if the scheme (S) is consistent and stable for the test equation x' = Xx for \ S C K, where K is...

Asymptotic behaviour of graded components of local cohomology modules

This article has no abstract.

new semigroup compactifications via the enveloping semigroups of associated flows

this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.