Erschienen: 27.02.2019 Abbildung von Boichuk / Samoilenko | Generalized Inverse Operators | 2nd ed. | 2016

Boichuk / Samoilenko

Generalized Inverse Operators

And Fredholm Boundary-Value Problems

2nd ed. 2016. Buch. X, 320 S. Hardcover

De Gruyter. ISBN 978-3-11-037839-9

Format (B x L): 17 x 24 cm

Gewicht: 672 g

In englischer Sprache

Das Werk ist Teil der Reihe: Inverse and Ill-Posed Problems Series; 59

Produktbeschreibung

The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time.
With the help of the technique of generalized inverse operators, the Vishik– Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction.
For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers.
For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents:

Preliminary Information
Generalized Inverse Operators in Banach Spaces
Pseudoinverse Operators in Hilbert Spaces
Boundary-Value Problems for Operator Equations
Boundary-Value Problems for Systems of Ordinary Differential Equations
Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations
Solutions of Differential and Difference Systems Bounded on the Entire Real Axis

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

Autoren

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