Generalized Inverse Operators: And Fredholm Boundary-value Problems (Inverse and Ill-Posed Problems): 59 - Hardcover

Boichuk, Alexander Andreevych; Samoilenko, Anatolii M.

 
9783110378399: Generalized Inverse Operators: And Fredholm Boundary-value Problems (Inverse and Ill-Posed Problems): 59
Hardcover
ISBN 10: 3110378396 ISBN 13: 9783110378399
Publisher: De Gruyter, 2016

Synopsis

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 InformationGeneralized Inverse Operators in Banach SpacesPseudoinverse Operators in Hilbert SpacesBoundary-Value Problems for Operator EquationsBoundary-Value Problems for Systems of Ordinary Differential EquationsImpulsive Boundary-Value Problems for Systems of Ordinary Differential EquationsSolutions of Differential and Difference Systems Bounded on the Entire Real Axis

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About the Author

Alexander Andreevych Boichuk and Anatoly Samoilenko, National Academy of Sciences of Ukraine, Kiev, Ukraine.

"About this title" may belong to another edition of this title.

Publisher
De Gruyter
Publication date
2016
Language
English
ISBN 10 
3110378396
ISBN 13 
9783110378399
Binding
Hardcover
Edition number
2
Number of pages
314