Use of Majorants and Minorants in the Study of Operator Equations: Basics, Concepts, Applications - Couverture souple

El Khannoussi, Mohammed Said; Zertiti, Abderrahim

 
9783330055209: Use of Majorants and Minorants in the Study of Operator Equations: Basics, Concepts, Applications
Couverture souple
ISBN 10 : 3330055200 ISBN 13 : 9783330055209
Editeur : LAP LAMBERT Academic Publishing, 2017

Synopsis

In many nonlinear differential and integral equations which formulate models of chemical reactors, chemical engineering, population biology, infectious diseases, economics, neutron transport, and other equations, we need to discuss the existence of positive solutions of nonlinear operators leaving invariant a cone in ordered Banach space. However, in the study of these operators it is often convenient to make use of majorants and minorants in order to establish the existence of a nontrivial fixed point. In this direction, it is the purpose of this book to expand the results introduced by Krasnosel'skii in "positive solutions of operators equations" concerning the utilization of differentiable operators. The method used in the present book is the topological methods, more precisely, the fixed point index. In order to demonstrate the importance of the abstract results applications to the existence of positive solutions to nonlinear boundary value problems are presented here. But, of course, the abstract techniques and results of this book apply also to a variety of other problems.

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

Présentation de l'éditeur

In many nonlinear differential and integral equations which formulate models of chemical reactors, chemical engineering, population biology, infectious diseases, economics, neutron transport, and other equations, we need to discuss the existence of positive solutions of nonlinear operators leaving invariant a cone in ordered Banach space. However, in the study of these operators it is often convenient to make use of majorants and minorants in order to establish the existence of a nontrivial fixed point. In this direction, it is the purpose of this book to expand the results introduced by Krasnosel'skii in "positive solutions of operators equations" concerning the utilization of differentiable operators. The method used in the present book is the topological methods, more precisely, the fixed point index. In order to demonstrate the importance of the abstract results applications to the existence of positive solutions to nonlinear boundary value problems are presented here. But, of course, the abstract techniques and results of this book apply also to a variety of other problems.

Biographie de l'auteur

Mohammed Said El Khannoussi. Abderrahim Zertiti.Research interests: Degree theory, Fixed point theory, Non-linear Integral equations, Non-linear differential equations. University address: University Abdelmalek Essaadi, Faculty of sciences, Tetouan, Morocco.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2017
Langue
anglais
ISBN 10 
3330055200
ISBN 13 
9783330055209
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
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