Linear and Nonlinear Non-Fredholm Operators: Theory and Applications - Couverture souple

Efendiev, Messoud

 
9789811998829: Linear and Nonlinear Non-Fredholm Operators: Theory and Applications
Couverture souple
ISBN 10 : 9811998825 ISBN 13 : 9789811998829
Editeur : Springer, 2024

Synopsis

This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this book is to invite readers to make contributions to this fascinating area of mathematics.
First, it is worth noting that linear Fredholm operators, one of the most important classes of linear maps in mathematics, were introduced around 1900 in the study of integral operators. These linear Fredholm operators between Banach spaces share, in some sense, many properties with linear maps between finite dimensional spaces. Since the end of the previous century there has been renewed interest in linear - nonlinear Fredholm maps from a topological degree point of view and its applications, following a period of "stagnation" in the mid-1960s. Now, linear and nonlinear Fredholm operator theory and the solvability of corresponding equations both from the analytical and topological points of view are quite well understood.
Also noteworthy is, that as a by-product of our results, we have obtained an important tool for modelers working in mathematical biology and mathematical medicine, namely, the necessary conditions for preserving positive cones for systems of equations without Fredholm property containing local - nonlocal diffusion as well as terms for transport and nonlinear interactions.

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

À propos de l?auteur


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

Éditeur
Springer
Date d'édition
2024
Langue
anglais
ISBN 10 
9811998825
ISBN 13 
9789811998829
Reliure
Broché
Nombre de pages
224
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9789811998799: Linear and Nonlinear Non-fredholm Operators: Theory and Applications

Edition présentée

ISBN 10 :  9811998795 ISBN 13 :  9789811998799
Editeur : Springer Verlag, Singapore, 2023
Couverture rigide