On extremal fixed points in Schauder's theorem with applications to differential equations | Zendy

José Ángel Cid | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On extremal fixed points in Schauder's theorem with applications to differential equations

Author(s) -

José Ángel Cid

Publication year - 2004

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1080056156

Subject(s) - fixed point theorem , mathematics , schauder fixed point theorem , fixed point , brouwer fixed point theorem , boundary value problem , operator (biology) , picard–lindelöf theorem , mathematical analysis , kakutani fixed point theorem , pure mathematics , biochemistry , chemistry , repressor , transcription factor , gene

We derive necessary and sufficient conditions for the existence of a least and a greatest fixed point of an operator which satisfies the hypothesis of Schauder’s theorem. The so obtained results are applied to prove existence of extremal solutions for some initial and boundary value problems.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research