Alexander Andreevych BoichukAnatolii M. SamoilenkoAugust 22, 2016

Walter de Gruyter GmbH & Co KGWith 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

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

Publisher

Walter de Gruyter GmbH & Co KG

Published on

Aug 22, 2016

Pages

314

ISBN

9783110387353

Features

Best For

Language

English

Genres

Mathematics / Calculus

Mathematics / Differential Equations / General

Mathematics / Differential Equations / Partial

Mathematics / Functional Analysis

Mathematics / General

Mathematics / Mathematical Analysis

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