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

El Khannoussi, Mohammed Said; Zertiti, Abderrahim

Softcover

ISBN 10: 3330055200 ISBN 13: 9783330055209

Verlag: LAP LAMBERT Academic Publishing, 2017

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 3330055200
• ISBN 13: 9783330055209
• Einband: Taschenbuch
• Anzahl der Seiten: 88
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Editions Muse; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland