Non-self-adjoint boundary eigenvalue problems (Record no. 21902)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 04745cam a2200673Ia 4500 |
001 - CONTROL NUMBER | |
control field | ocn162579804 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20141103172227.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cn||||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 070806s2003 ne ob 001 0 eng d |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | |
Language of cataloging | eng |
Transcribing agency | OPELS |
Modifying agency | OCLCG |
-- | OPELS |
-- | OCLCQ |
-- | OCLCO |
-- | OCLCF |
-- | DEBBG |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780444514479 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0444514473 |
029 1# - (OCLC) | |
OCLC library identifier | NZ1 |
System control number | 12433593 |
029 1# - (OCLC) | |
OCLC library identifier | AU@ |
System control number | 000048129756 |
029 1# - (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV039830208 |
029 1# - (OCLC) | |
OCLC library identifier | NZ1 |
System control number | 15192897 |
029 1# - (OCLC) | |
OCLC library identifier | DEBBG |
System control number | BV036962340 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)162579804 |
037 ## - SOURCE OF ACQUISITION | |
Stock number | 121082:128946 |
Source of stock number/acquisition | Elsevier Science & Technology |
Note | http://www.sciencedirect.com |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA379 |
Item number | .M45 2003eb |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | QA |
Source | lcco |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515/.35 |
Edition number | 22 |
049 ## - LOCAL HOLDINGS (OCLC) | |
Holding library | TEFA |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Mennicken, Reinhard. |
245 10 - TITLE STATEMENT | |
Title | Non-self-adjoint boundary eigenvalue problems |
Medium | [electronic resource] / |
Statement of responsibility, etc. | Reinhard Mennicken and Manfred M�oller. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc. | Amsterdam ; |
-- | Boston : |
Name of publisher, distributor, etc. | North-Holland, |
Date of publication, distribution, etc. | 2003. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (xviii, 500 p.) |
490 1# - SERIES STATEMENT | |
Series statement | North-Holland mathematics studies, |
International Standard Serial Number | 0304-0208 ; |
Volume/sequential designation | 192 |
520 ## - SUMMARY, ETC. | |
Summary, etc. | This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and <IT>n</IT>-th order ordinary differential equations. In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every <IT>n</IT>-th order differential equation is equivalent to a first order system, the main techniques are developed for systems. Asymptotic fundamental systems are derived for a large class of systems of differential equations. Together with boundary conditions, which may depend polynomially on the eigenvalue parameter, this leads to the definition of Birkhoff and Stone regular eigenvalue problems. An effort is made to make the conditions relatively easy verifiable; this is illustrated with several applications in chapter 10. The contour integral method and estimates of the resolvent are used to prove expansion theorems. For Stone regular problems, not all functions are expandable, and again relatively easy verifiable conditions are given, in terms of auxiliary boundary conditions, for functions to be expandable. Chapter 10 deals exclusively with applications; in nine sections, various concrete problems such as the Orr-Sommerfeld equation, control of multiple beams, and an example from meteorology are investigated. Key features: & bull; Expansion Theorems for Ordinary Differential Equations & bull; Discusses Applications to Problems from Physics and Engineering & bull; Thorough Investigation of Asymptotic Fundamental Matrices and Systems & bull; Provides a Comprehensive Treatment & bull; Uses the Contour Integral Method & bull; Represents the Problems as Bounded Operators & bull; Investigates Canonical Systems of Eigen- and Associated Vectors for Operator Functions. |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliographical references (p. 475-495) and index. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on print version record. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Boundary value problems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Nonselfadjoint operators. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Eigenvalues. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differential equations. |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Probl�emes aux limites. |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Op�erateurs non auto-adjoints. |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Valeurs propres. |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | �Equations diff�erentielles. |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Problemas de contorno. |
Source of heading or term | larpcal |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Operadores. |
Source of heading or term | larpcal |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Espa�cos de sobolev. |
Source of heading or term | larpcal |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Equa�c�oes diferenciais. |
Source of heading or term | larpcal |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Boundary value problems. |
Source of heading or term | fast |
Authority record control number | (OCoLC)fst00837122 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differential equations. |
Source of heading or term | fast |
Authority record control number | (OCoLC)fst00893446 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Eigenvalues. |
Source of heading or term | fast |
Authority record control number | (OCoLC)fst00904031 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Nonselfadjoint operators. |
Source of heading or term | fast |
Authority record control number | (OCoLC)fst01038954 |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | M�oller, Manfred, |
Titles and other words associated with a name | Dr. rer. nat. habil. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Mennicken, Reinhard. |
Title | Non-self-adjoint boundary eigenvalue problems. |
Edition | 1st ed. |
Place, publisher, and date of publication | Amsterdam ; Boston : North-Holland, 2003 |
International Standard Book Number | 0444514473 |
-- | 9780444514479 |
Record control number | (DLC) 2003054700 |
-- | (OCoLC)52334745 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | North-Holland mathematics studies ; |
Volume number/sequential designation | 192. |
International Standard Serial Number | 0304-0208 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Materials specified | ScienceDirect |
Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444514479">http://www.sciencedirect.com/science/book/9780444514479</a> |
856 4# - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=192">http://www.sciencedirect.com/science/publication?issn=03040208&volume=192</a> |
Materials specified | Volltext |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E(electronic)-Books |
994 ## - | |
-- | C0 |
-- | TEF |
No items available.