Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
We consider abstract parabolic problems in ordered Banach spaces and give conditions under which they have global attractors. Our approach is via comparison of solutions. Within this approach abstract comparison principles are obtained and bounds on the attractors are given by order intervals in Banach spaces. These results are applied to ordinary differential equations and to parabolic equations for which the main part is given by a sum of fractional powers of sectorial operators having increasing resolvents and integral operators having positive kernels.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
1-17
Opis fizyczny
Daty
wydano
2001
Twórcy
autor
- Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13.560-970 São Carlos SP, Brazil
autor
- Institute of Mathematics, Silesian University, 40-007 Katowice, Poland
autor
- Institute of Mathematics, Silesian University, 40-007 Katowice, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-1-1