Linear Equations in Banach Spaces

Download or Read eBook Linear Equations in Banach Spaces PDF written by KREIN and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 112 pages. Available in PDF, EPUB and Kindle.
Linear Equations in Banach Spaces
Author :
Publisher : Springer Science & Business Media
Total Pages : 112
Release :
ISBN-10 : 9781468480689
ISBN-13 : 1468480685
Rating : 4/5 (89 Downloads)

Book Synopsis Linear Equations in Banach Spaces by : KREIN

Book excerpt: INTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4. THE EQUATION ADJOINT TO THE FACTORED EQUATION. 17 § 5. AN EQUATION WITH A CLOSED OPERATOR WHICH HAS A DENSE DOMAIN 18 NORMALLY SOLVABLE EQUATIONS WITH FINITE DIMENSIONAL KERNEL. 22 § 6. A PRIORI ESTIMATES .. . . . . . 24 § 7. EQUATIONS WITH FINITE DEFECT . . . 27 § 8. § 9. SOME DIFFERENT ADJOINT EQUATIONS . 30 § 10. LINEAR TRANSFORMATIONS OF EQUATIONS 33 TRANSFORMATIONS OF d-NORMAL EQUATIONS . 38 § 11. § 12. NOETHERIAN EQUATIONS. INDEX. . . . . . 42 § 13. EQUATIONS WITH OPERATORS WHICH ACT IN A SINGLE SPACE 44 § 14. FREDHOLM EQUATIONS. REGULARIZATION OF EQUATIONS 46 § 15. LINEAR CHANGES OF VARIABLE . . . . . . . . 50 § 16. STABILITY OF THE PROPERTIES OF AN EQUATION 53 OVERDETERMINED EQUATIONS 59 § 17. § 18. UNDETERMINED EQUATIONS 62 § 19. INTEGRAL EQUATIONS . . . 65 DIFFERENTIAL EQUATIONS . 80 § 20. APPENDIX. BASIC RESULTS FROM FUNCTIONAL ANALYSIS USED IN THE TEXT 95 LITERATURE CITED . . . . . . . . . . . . . . . . . . .. . . . 99 . . PRE F ACE The basic material appearing in this book represents the substance v of a special series of lectures given by the author at Voronez University in 1968/69, and, in part, at Dagestan University in 1970.


Linear Equations in Banach Spaces Related Books

Linear Equations in Banach Spaces
Language: en
Pages: 112
Authors: KREIN
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

INTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4.
Nonlinear Differential Equations of Monotone Types in Banach Spaces
Language: en
Pages: 283
Authors: Viorel Barbu
Categories: Mathematics
Type: BOOK - Published: 2010-01-01 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial
Stability of Solutions of Differential Equations in Banach Space
Language: en
Pages: 396
Authors: Ju. L. Daleckii
Categories: Mathematics
Type: BOOK - Published: 2002-03-15 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Linear Differential Equations in Banach Space
Language: en
Pages: 400
Authors: Selim Grigorʹevich Kreĭn
Categories: Banach spaces
Type: BOOK - Published: 1971 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Functional Analysis, Sobolev Spaces and Partial Differential Equations
Language: en
Pages: 600
Authors: Haim Brezis
Categories: Mathematics
Type: BOOK - Published: 2010-11-02 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of