Coexistence states for systems of operator equations: Basics, Theory, Applications - Couverture souple

El Khannoussi, Mohammed Said; Zertiti, Abderrahim

 
9786139900381: Coexistence states for systems of operator equations: Basics, Theory, Applications
Couverture souple
ISBN 10 : 6139900387 ISBN 13 : 9786139900381
Editeur : LAP LAMBERT Academic Publishing, 2018

Synopsis

In many systems of differential or integral equations that arise from models of population dynamics, chimical engeenering, infectious diseases, economics, neutron transport and other systems, it is used to find coexistence states for systems of integral or differential equations in ordered Banach spaces. The so called "coexistence states" are of special importance: these are solutions (x,y) with both components nonnegative and nontrivial. Semitrivial solutions i.e., solutions (x,y) with exactly one component nonnegative and nontrivial, are also of interest. Note that a direct application of the corresponding Amann's results implies the existence of a solution (x,y) but some component of the fixed point (x,y) may be trivial. To solve this problem it is the purpose of the book to expand and generalize the results by Amann and Krasnosel'skii concerning the existence of fixed points of cone expansion and compression to assure the existence of coexistence states. We also give important applications to demonstrate the importance of the abstract theorems given here.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2018
Langue
anglais
ISBN 10 
6139900387
ISBN 13 
9786139900381
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
Personne responsable
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