Applications of Lie algebras to hyperbolic and stochastic differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1999
|
| Series: | Mathematics and its applications
466 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 238 S. |
| ISBN: | 0792357183 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface ix
Introduction 1
1 Gradient Systems in a Lie Algebra 5
1.1 Preliminaries 5
1.2 Gradient systems in Fn and Der (i?1) 11
1.3 Gradient Systems Determined by a Lie Algebra 17
2 Representation of a Gradient System 25
2.1 Finite Dimensional Lie Algebra 25
2.2 The Maximal Rank Lie Algebra 33
2.3 Integral Manifolds 36
2.4 Some applications 40
3 F. G. O. Lie Algebras 49
3.1 Lie algebras finitely generated over orbits 49
3.2 Nonsingularity of the gradient system 55
3.3 Some Applications 69
4 Applications 77
4.1 Systems of Semiliniar Equations 77
4.2 Stochastic Differential Equations 83
4.3 Systems of Hyperbolic equations 91
4.4 Finite Dimensional Nonlinear Filters 97
4.5 Affine Control Systems 108
4.6 Integral Representation of Solutions 109
4.7 Decomposition of affine control systems 113
5 Stabilization and Related Problems 117
5.1 Equivalent Controllable Systems 117
5.2 Approximations, Small Controls 128
vii
viii CONTENTS
5.3 Nonlinear Control Systems 144
5.4 Stabilization of Affine Control Systems 147
5.5 Controlled Invariant Lie Algebras 158
5.6 Stochastic differential equations 175
5.6.1 Singularly perturbed equations viewed as controlled
equations 176
5.6.2 Bounded solutions for singularly perturbed system
( *),(/?) 179
5.6.3 Characterization of the dynamical limits 182
Appendix 197
Bibliography 235
Subject Index 237
|
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| id | DE-604.BV012830240 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:34:27Z |
| institution | BVB |
| isbn | 0792357183 |
| language | English |
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| oclc_num | 41002846 |
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| physical | X, 238 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Vârsan, Constantin Verfasser aut Applications of Lie algebras to hyperbolic and stochastic differential equations by Constantin Vârsan Dordrecht [u.a.] Kluwer 1999 X, 238 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 466 Differential equations, Hyperbolic Lie algebras Stochastic differential equations Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Hyperbolische Differentialgleichung (DE-588)4131213-2 s DE-604 Stochastische Differentialgleichung (DE-588)4057621-8 s Mathematics and its applications 466 (DE-604)BV008163334 466 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008729244&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vârsan, Constantin Applications of Lie algebras to hyperbolic and stochastic differential equations Mathematics and its applications Differential equations, Hyperbolic Lie algebras Stochastic differential equations Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4131213-2 (DE-588)4057621-8 (DE-588)4130355-6 |
| title | Applications of Lie algebras to hyperbolic and stochastic differential equations |
| title_auth | Applications of Lie algebras to hyperbolic and stochastic differential equations |
| title_exact_search | Applications of Lie algebras to hyperbolic and stochastic differential equations |
| title_full | Applications of Lie algebras to hyperbolic and stochastic differential equations by Constantin Vârsan |
| title_fullStr | Applications of Lie algebras to hyperbolic and stochastic differential equations by Constantin Vârsan |
| title_full_unstemmed | Applications of Lie algebras to hyperbolic and stochastic differential equations by Constantin Vârsan |
| title_short | Applications of Lie algebras to hyperbolic and stochastic differential equations |
| title_sort | applications of lie algebras to hyperbolic and stochastic differential equations |
| topic | Differential equations, Hyperbolic Lie algebras Stochastic differential equations Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Differential equations, Hyperbolic Lie algebras Stochastic differential equations Hyperbolische Differentialgleichung Stochastische Differentialgleichung Lie-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008729244&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT varsanconstantin applicationsofliealgebrastohyperbolicandstochasticdifferentialequations |