Methods of solving singular systems of ordinary differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester u.a.
Wiley
1992
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| Series: | Pure and applied mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | VI, 163 S. |
| ISBN: | 0471931632 |
Staff View
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| 240 | 1 | 0 | |a Metody rešenija vyrožennych sistem obyknovennych differencial'nych uravnenij |
| 245 | 1 | 0 | |a Methods of solving singular systems of ordinary differential equations |c Yuri Boyarintsev |
| 264 | 1 | |a Chichester u.a. |b Wiley |c 1992 | |
| 300 | |a VI, 163 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Foreword vii
1. Generalized inverse matrices and some of their applications 1
1.1. Semi inverse matrices 1
1.2. The pseudo inverse matrix 7
1.3. Semi inverse matrices and matrix equations 11
1.4. Projectors and mappings 15
1.5. Quite perfect pairs of matrices 23
1.6. Perfect pairs of matrices 31
1.7. Perfect pairs and triplets of variable matrices 35
1.8. The inverse Drasin matrix 41
1.9. The representation of the inverse Drasin matrix with the help of skeleton
expansions 47
1.10. The resolving pair of matrices 50
1.11. An algorithm for obtaining a resolving pair of matrices 57
2. Difference schemes for solving singular systems of ordinary differential
equations 66
2.1. A difference scheme for solving systems with a perfect group of three
matrices 66
2.2. The system with a regular pair of matrices 69
2.3. Systems of index 1 70
2.4. Systems having the property (I 72
2.5. Systems of index 2. Particular cases 74
2.6. Systems of index 2. The general case 78
2.7. On the indices of matrices. Stable matrices 82
2.8. Application of the resolving pair of matrices 88
2.9. The boundary layer of errors. Stability of linear combinations of the
components of a difference solution 93
2.10. Summary of the obtained difference schemes and conditions for their
applicability 106
vi Contents
3. Some methods of finding general solutions of boundary value problems
associated with singular systems of linear ordinary differential equations 112
3.1. Conditions imposed on the solutions 113
3.2. The main relationship between the values of the solution of a system
of linear ordinary differential equations 114
3.3. The problem with a perfect group of three matrices 117
3.4. Systems of the general form. Application of a resolving pair of matrices 120
3.5. The property Q. The main relationship between values of the solution
of systems with the property Q 122
3.6. Solution of the redefined systems 126
3.7. Systems with a regular pair of matrices 129
3.8. Systems with a matrix of index 2 135
3.9. Systems with a matrix of index 2. Particular cases 138
3.10. Stability of linear combinations of the components of solutions of
singular systems 142
3.11. Summary of formulae for the solution of the Cauchy problem 147
3.12. Extended systems with differential connection 150
3.13. Nonlinear systems 153
3.14. Systems of equations with partial derivatives 154
References 158
Index 161
|
| any_adam_object | 1 |
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| author_facet | Bojarincev, Jurij E. |
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| author_sort | Bojarincev, Jurij E. |
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| discipline | Mathematik |
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| id | DE-604.BV005848295 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:35:44Z |
| institution | BVB |
| isbn | 0471931632 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003662206 |
| oclc_num | 243730176 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-20 DE-739 DE-706 DE-83 DE-11 |
| physical | VI, 163 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Wiley |
| record_format | marc |
| series2 | Pure and applied mathematics |
| spelling | Bojarincev, Jurij E. Verfasser aut Metody rešenija vyrožennych sistem obyknovennych differencial'nych uravnenij Methods of solving singular systems of ordinary differential equations Yuri Boyarintsev Chichester u.a. Wiley 1992 VI, 163 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics Aus d. Russ. übers. Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003662206&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bojarincev, Jurij E. Methods of solving singular systems of ordinary differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4128130-5 |
| title | Methods of solving singular systems of ordinary differential equations |
| title_alt | Metody rešenija vyrožennych sistem obyknovennych differencial'nych uravnenij |
| title_auth | Methods of solving singular systems of ordinary differential equations |
| title_exact_search | Methods of solving singular systems of ordinary differential equations |
| title_full | Methods of solving singular systems of ordinary differential equations Yuri Boyarintsev |
| title_fullStr | Methods of solving singular systems of ordinary differential equations Yuri Boyarintsev |
| title_full_unstemmed | Methods of solving singular systems of ordinary differential equations Yuri Boyarintsev |
| title_short | Methods of solving singular systems of ordinary differential equations |
| title_sort | methods of solving singular systems of ordinary differential equations |
| topic | Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Gewöhnliche Differentialgleichung Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003662206&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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