A dynamical system in a Hilbert space with a weakly attractive nonstationary point

Vrkoč, Ivo. "A dynamical system in a Hilbert space with a weakly attractive nonstationary point." Mathematica Bohemica 118.4 (1993): 401-423. <http://eudml.org/doc/29313>.

@article{Vrkoč1993,
abstract = {A differential equation is a Hilbert space with all solutions bounded but with so finite nontrivial invariant measure is constructed. In fact, it is shown that all solutions to this equation converge weakly to the origin, nonetheless, there is no stationary point. Moreover, so solution has a non-empty $\Omega $-set.},
author = {Vrkoč, Ivo},
journal = {Mathematica Bohemica},
keywords = {invariant measures; stochastic evolution equations; Hilbert space; compact semigroup; Galerkin approximation; differential equations in Hilbert spaces; $\Omega $-sets; invariant measures; stochastic evolution equations; Hilbert space; compact semigroup; Galerkin approximation},
language = {eng},
number = {4},
pages = {401-423},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A dynamical system in a Hilbert space with a weakly attractive nonstationary point},
url = {http://eudml.org/doc/29313},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Vrkoč, Ivo
TI - A dynamical system in a Hilbert space with a weakly attractive nonstationary point
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 4
SP - 401
EP - 423
AB - A differential equation is a Hilbert space with all solutions bounded but with so finite nontrivial invariant measure is constructed. In fact, it is shown that all solutions to this equation converge weakly to the origin, nonetheless, there is no stationary point. Moreover, so solution has a non-empty $\Omega $-set.
LA - eng
KW - invariant measures; stochastic evolution equations; Hilbert space; compact semigroup; Galerkin approximation; differential equations in Hilbert spaces; $\Omega $-sets; invariant measures; stochastic evolution equations; Hilbert space; compact semigroup; Galerkin approximation
UR - http://eudml.org/doc/29313
ER -