EUDML

Advanced Search

Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Sur l'allure asymptotique des solutions de l'équation différentielle ordinaire du second ordre

T. Dłotko — 1962

Annales Polonici Mathematici

Quelques théorèmes sur les intégrales bornées de certaines équations différentielles ordinaires du second ordre

T. Dłotko — 1961

Annales Polonici Mathematici

Sur une équation différentielle fonctionnelle à argument accéléré

T. Dłotko; M. Kuczma — 1964

Colloquium Mathematicae

Bi-spaces global attractors in abstract parabolic equations

J. W. Cholewa; T. Dłotko — 2003

Banach Center Publications

An abstract semilinear parabolic equation in a Banach space X is considered. Under general assumptions on nonlinearity this problem is shown to generate a bounded dissipative semigroup on $X^{α}$ . This semigroup possesses an $(X^{α} - Z)$ -global attractor that is closed, bounded, invariant in $X^{α}$ , and attracts bounded subsets of $X^{α}$ in a ’weaker’ topology of an auxiliary Banach space Z. The abstract approach is finally applied to the scalar parabolic equation in Rⁿ and to the partly dissipative system.

Page 1