Viability, invariance and applications (Record no. 21984)
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| 000 -LEADER | |
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| fixed length control field | 05558cam a2200733Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162131435 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172228.0 |
| 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 | 070802s2007 ne a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | BAKER |
| -- | OPELS |
| -- | OCLCQ |
| -- | N$T |
| -- | YDXCP |
| -- | MERUC |
| -- | E7B |
| -- | IDEBK |
| -- | OCLCQ |
| -- | REDDC |
| -- | OCLCQ |
| -- | TULIB |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OPELS |
| -- | OCLCF |
| -- | DEBBG |
| -- | OCLCQ |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER | |
| Record control number | 013683358 |
| Source | Uk |
| 019 ## - | |
| -- | 170967912 |
| -- | 441781564 |
| -- | 648244998 |
| -- | 779920595 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444527615 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444527613 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080521664 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080521665 (electronic bk.) |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 11778298 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048130579 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV039834066 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 14540172 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000051560101 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 15177282 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962185 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NLGGC |
| System control number | 380800802 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162131435 |
| Canceled/invalid control number | (OCoLC)170967912 |
| -- | (OCoLC)441781564 |
| -- | (OCoLC)648244998 |
| -- | (OCoLC)779920595 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 133439:133563 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA371 |
| Item number | .C37 2007 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 007000 |
| Source | bisacsh |
| 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 | C�arj�a, Ovidiu. |
| 245 10 - TITLE STATEMENT | |
| Title | Viability, invariance and applications |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | Ovidiu C�arj�a, Mihai Necula, Ioan I. Vrabie. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | Boston : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2007. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 344 p.) : |
| Other physical details | ill. |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies, |
| International Standard Serial Number | 0304-0208 ; |
| Volume/sequential designation | 207 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumos Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. - New concepts for multi-functions as the classical tangent vectors for functions - Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions - Clarifying examples, illustrations and numerous problems, completely and carefully solved - Illustrates the applications from theory into practice - Very clear and elegant style. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- Chapter 1. Generalities -- Chapter 2. Specific preliminary results -- Ordinary differential equations and inclusions -- Chapter 3. Nagumo type viability theorems -- Chapter 4. Problems of invariance -- Chapter 5. Viability under Carat�hodory conditions -- Chapter 6. Viability for differential inclusions -- Chapter 7. Applications -- Part 2 Evolution equations and inclusions -- Chapter 8. Viability for single-valued semilinear evolutions -- Chapter 9. Viability for multi-valued semilinear evolutions -- Chapter 10. Viability for single-valued fully nonlinear evolutions -- Chapter 11. Viability for multi-valued fully nonlinear evolutions -- Chapter 12. Carat�hodory perturbations of m-dissipative operators -- Chapter 13. Applications -- Solutions to the proposed problems -- Bibliographical notes and comments -- Bibliography -- Name Index -- Subject Index -- Notation. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 325-333) and indexes. |
| 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 | Differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Set theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symmetry (Mathematics) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Differential Equations |
| -- | General. |
| Source of heading or term | bisacsh |
| 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 | Set theory. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01113587 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symmetry (Mathematics) |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01739417 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Necula, Mihai. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vrabie, I. I. |
| Fuller form of name | (Ioan I.), |
| Dates associated with a name | 1951- |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | C�arj�a, Ovidiu. |
| Title | Viability, invariance and applications. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; Boston : Elsevier, 2007 |
| International Standard Book Number | 9780444527615 |
| -- | 0444527613 |
| Record control number | (OCoLC)85690133 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematics studies ; |
| Volume number/sequential designation | 207. |
| 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/9780444527615">http://www.sciencedirect.com/science/book/9780444527615</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=207">http://www.sciencedirect.com/science/publication?issn=03040208&volume=207</a> |
| Materials specified | Volltext |
| 938 ## - | |
| -- | Baker & Taylor |
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| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
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