Generalized Inverse Operators : : And Fredholm Boundary-Value Problems / / Alexander Andreevych Boichuk, Anatolii M. Samoilenko.
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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2016] ©2016 |
Year of Publication: | 2016 |
Edition: | 2nd ed. |
Language: | English |
Series: | Inverse and Ill-Posed Problems Series ,
59 |
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Physical Description: | 1 online resource (XVI, 298 p.) |
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Boichuk, Alexander Andreevych, author. aut http://id.loc.gov/vocabulary/relators/aut Generalized Inverse Operators : And Fredholm Boundary-Value Problems / Alexander Andreevych Boichuk, Anatolii M. Samoilenko. 2nd ed. Berlin ; Boston : De Gruyter, [2016] ©2016 1 online resource (XVI, 298 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Inverse and Ill-Posed Problems Series , 1381-4524 ; 59 Frontmatter -- Contents -- Preface -- Preface to the second edition -- Notation -- Chapter 1. Preliminary Information -- Chapter 2. Generalized Inverse Operators in Banach Spaces -- Chapter 3. Pseudoinverse Operators in Hilbert Spaces -- Chapter 4. Boundary-Value Problems for Operator Equations -- Chapter 5. Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 6. Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 7. Solutions of Differential and Difference Systems Bounded on the Entire Real Axis -- Epilogue -- Bibliography -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Banach spaces. Boundary value problems. Fredholm equations. Operator theory. Randwertproblem. Verallgemeinerte Inverse. MATHEMATICS / Differential Equations / General. bisacsh Malyshev, Peter V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Samoilenko, Anatolii M., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2016 Part 1 9783110762501 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016 9783110701005 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016 9783110485103 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2016 9783110485288 ZDB-23-DMA EPUB 9783110387353 print 9783110378399 https://doi.org/10.1515/9783110378443 https://www.degruyter.com/isbn/9783110378443 Cover https://www.degruyter.com/document/cover/isbn/9783110378443/original |
language |
English |
format |
eBook |
author |
Boichuk, Alexander Andreevych, Boichuk, Alexander Andreevych, Samoilenko, Anatolii M., |
spellingShingle |
Boichuk, Alexander Andreevych, Boichuk, Alexander Andreevych, Samoilenko, Anatolii M., Generalized Inverse Operators : And Fredholm Boundary-Value Problems / Inverse and Ill-Posed Problems Series , Frontmatter -- Contents -- Preface -- Preface to the second edition -- Notation -- Chapter 1. Preliminary Information -- Chapter 2. Generalized Inverse Operators in Banach Spaces -- Chapter 3. Pseudoinverse Operators in Hilbert Spaces -- Chapter 4. Boundary-Value Problems for Operator Equations -- Chapter 5. Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 6. Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 7. Solutions of Differential and Difference Systems Bounded on the Entire Real Axis -- Epilogue -- Bibliography -- Backmatter |
author_facet |
Boichuk, Alexander Andreevych, Boichuk, Alexander Andreevych, Samoilenko, Anatolii M., Malyshev, Peter V., Malyshev, Peter V., Samoilenko, Anatolii M., Samoilenko, Anatolii M., |
author_variant |
a a b aa aab a a b aa aab a m s am ams |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Malyshev, Peter V., Malyshev, Peter V., Samoilenko, Anatolii M., Samoilenko, Anatolii M., |
author2_variant |
p v m pv pvm p v m pv pvm a m s am ams |
author2_role |
MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn |
author_sort |
Boichuk, Alexander Andreevych, |
title |
Generalized Inverse Operators : And Fredholm Boundary-Value Problems / |
title_sub |
And Fredholm Boundary-Value Problems / |
title_full |
Generalized Inverse Operators : And Fredholm Boundary-Value Problems / Alexander Andreevych Boichuk, Anatolii M. Samoilenko. |
title_fullStr |
Generalized Inverse Operators : And Fredholm Boundary-Value Problems / Alexander Andreevych Boichuk, Anatolii M. Samoilenko. |
title_full_unstemmed |
Generalized Inverse Operators : And Fredholm Boundary-Value Problems / Alexander Andreevych Boichuk, Anatolii M. Samoilenko. |
title_auth |
Generalized Inverse Operators : And Fredholm Boundary-Value Problems / |
title_alt |
Frontmatter -- Contents -- Preface -- Preface to the second edition -- Notation -- Chapter 1. Preliminary Information -- Chapter 2. Generalized Inverse Operators in Banach Spaces -- Chapter 3. Pseudoinverse Operators in Hilbert Spaces -- Chapter 4. Boundary-Value Problems for Operator Equations -- Chapter 5. Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 6. Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 7. Solutions of Differential and Difference Systems Bounded on the Entire Real Axis -- Epilogue -- Bibliography -- Backmatter |
title_new |
Generalized Inverse Operators : |
title_sort |
generalized inverse operators : and fredholm boundary-value problems / |
series |
Inverse and Ill-Posed Problems Series , |
series2 |
Inverse and Ill-Posed Problems Series , |
publisher |
De Gruyter, |
publishDate |
2016 |
physical |
1 online resource (XVI, 298 p.) Issued also in print. |
edition |
2nd ed. |
contents |
Frontmatter -- Contents -- Preface -- Preface to the second edition -- Notation -- Chapter 1. Preliminary Information -- Chapter 2. Generalized Inverse Operators in Banach Spaces -- Chapter 3. Pseudoinverse Operators in Hilbert Spaces -- Chapter 4. Boundary-Value Problems for Operator Equations -- Chapter 5. Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 6. Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 7. Solutions of Differential and Difference Systems Bounded on the Entire Real Axis -- Epilogue -- Bibliography -- Backmatter |
isbn |
9783110378443 9783110762501 9783110701005 9783110485103 9783110485288 9783110387353 9783110378399 |
issn |
1381-4524 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA431 |
callnumber-sort |
QA 3431 |
url |
https://doi.org/10.1515/9783110378443 https://www.degruyter.com/isbn/9783110378443 https://www.degruyter.com/document/cover/isbn/9783110378443/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.4 |
dewey-sort |
3515.4 |
dewey-raw |
515.4 |
dewey-search |
515.4 |
doi_str_mv |
10.1515/9783110378443 |
oclc_num |
959988756 |
work_keys_str_mv |
AT boichukalexanderandreevych generalizedinverseoperatorsandfredholmboundaryvalueproblems AT malyshevpeterv generalizedinverseoperatorsandfredholmboundaryvalueproblems AT samoilenkoanatoliim generalizedinverseoperatorsandfredholmboundaryvalueproblems |
status_str |
n |
ids_txt_mv |
(DE-B1597)429945 (OCoLC)959988756 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2016 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2016 |
is_hierarchy_title |
Generalized Inverse Operators : And Fredholm Boundary-Value Problems / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2016 Part 1 |
author2_original_writing_str_mv |
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