Differential equations with discontinuous righthand sides:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German English Russian |
| Published: |
Dordrecht [u.a.]
Kluwer
1988
|
| Series: | Mathematics and its applications / Soviet series.
18 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 304 S. graph. Darst. |
| ISBN: | 902772699X |
Staff View
MARC
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| 240 | 1 | 0 | |a Differencial'nye uravenija s razryvnoj pravoj čast'ju |
| 245 | 1 | 0 | |a Differential equations with discontinuous righthand sides |c A. F. Filippov |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1988 | |
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| 490 | 1 | |a Mathematics and its applications / Soviet series. |v 18 | |
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Record in the Search Index
| _version_ | 1804116592071540736 |
|---|---|
| adam_text | CONTENTS
Series Editor s Preface v
Preface ix
Introduction 1
Chapter 1
Equations with the Right Hand Side Continuous
in x and Discontinuous in t 3
1. Carathe odory Differential Equations 3
2. Equations with Distributions Involved as Summands 17
3. Differential Equations with Distributions in Coefficients 29
Chapter 2
Existence and General Properties of Solutions of
Discontinuous Systems 48
4. Definitions of Solution 48
5. Convex Sets and Set Valued Functions 59
6. Differential Inclusions 67
7. Existence and Properties of Solutions 75
8. Dependence of Solution on Initial Data and on the
Right Hand Side of the Equation 87
9. Change of Variables 99
10. Sufficient Conditions for Uniqueness 106
11. Variation of Solutions 117
Chapter 3
Basic Methods of Qualitative Theory 123
12. Trajectories of Autonomous Systems 123
13. Properties of Trajectories in a Plane 133
14. Bounded and Periodic Solutions 142
15. Stability 152
Chapter 4
Local Singularities of Two Dimensional Systems 175
16. Linear Singularities 175
17. Topological Classification of Singular Points 190
vii
viii Contents
18. Structurally Stable and Structurally Unstable Systems 205
19. Singular Points on a Line of Discontinuity 217
20. Singular Points on an Intersection of Lines of Discontinuity 250
Chapter 5
Local Singularities of Three Dimensional and
Multidimensional Systems 259
21. Basic Types of Singularities. Two Dimensional Singularities 259
22. Linear and Point Singularities on a Surface of Discontinuity 268
23. Singularities on an Intersection of Surfaces of Discontinuity 285
References 291
Subject Index 303
I
|
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| discipline | Mathematik |
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| id | DE-604.BV002137836 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:40:57Z |
| institution | BVB |
| isbn | 902772699X |
| language | German English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001402023 |
| oclc_num | 17549553 |
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| physical | X, 304 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Kluwer |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series. |
| spelling | Filippov, Aleksej F. Verfasser aut Differencial'nye uravenija s razryvnoj pravoj čast'ju Differential equations with discontinuous righthand sides A. F. Filippov Dordrecht [u.a.] Kluwer 1988 X, 304 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series. 18 Differential equations, Partial Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Differentialgleichung (DE-588)4012249-9 s Soviet series. Mathematics and its applications 18 (DE-604)BV004708148 18 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001402023&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Filippov, Aleksej F. Differential equations with discontinuous righthand sides Differential equations, Partial Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4044779-0 |
| title | Differential equations with discontinuous righthand sides |
| title_alt | Differencial'nye uravenija s razryvnoj pravoj čast'ju |
| title_auth | Differential equations with discontinuous righthand sides |
| title_exact_search | Differential equations with discontinuous righthand sides |
| title_full | Differential equations with discontinuous righthand sides A. F. Filippov |
| title_fullStr | Differential equations with discontinuous righthand sides A. F. Filippov |
| title_full_unstemmed | Differential equations with discontinuous righthand sides A. F. Filippov |
| title_short | Differential equations with discontinuous righthand sides |
| title_sort | differential equations with discontinuous righthand sides |
| topic | Differential equations, Partial Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Differential equations, Partial Differentialgleichung Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001402023&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
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