Stochastic versus deterministic systems of differential equations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
2004
|
| Series: | Monographs and textbooks in pure and applied mathematics
260 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 301-311) and index |
| Physical Description: | xv, 317 p. graph. Darst. 24 cm |
| ISBN: | 082474697X |
Staff View
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Record in the Search Index
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| adam_text | STOCHASTIC VERSUS DETERMINISTIC SYSTEMS OF DIFFERENTIAL EQUATIONS G. S.
LADDE THE UNIVERSITY OF TEXAS AT ARLINGTON ARLINGTON, TEXAS, U.S.A. M.
SAMBANDHAM MOREHOUSE COLLEGE ATLANTA, GEORGIA, U.S.A. MARCEL DEKKER,
INC. NEW YORK * BASEL CONTENTS PREFACE III NOTATION AND ABBREVIATIONS XI
CHAPTER 1: RANDOM POLYNOMIALS 1.0 INTRODUCTION 1 1.1 UPPER BOUND FOR
MEAN DEVIATION 1 1.2 ERROR ESTIMATES 4 1.3 EIGENVALUES OF RANDOM
MATRICES 10 1.4 STABILITY OF RANDOM MATRICES 21 1.5 APPLICATIONS 24 A)
ECONOMIC ANALYSIS OF CAPITAL AND INVESTMENT 25 B) FREE DAMPED MOTION OF
SPRING 26 1.6 NUMERICAL EXAMPLES 27 1.7 NOTES AND COMMENTS 35 CHAPTER 2:
ORDINARY DIFFERENTIAL SYSTEMS WITH RANDOM PARAMETERS 2.0 INTRODUCTION 37
2.1 VARIATION OF CONSTANTS METHOD 38 2.2 COMPARISON METHOD 45 2.3
PROBABILITY DISTRIBUTION METHOD 58 2.4 STABILITY ANALYSIS 66 2.5 ERROR
ESTIMATES 83 2.6 RELATIVE STABILITY 100 2.7 APPLICATIONS TO POPULATION
DYNAMICS 110 2.8 NUMERICAL EXAMPLES 122 2.9 NOTES AND COMMENTS 129 VN
VIII CONTENTS CHAPTER 3: BOUNDARY VALUE PROBLEMS WITH RANDOM PARAMETERS
3.0 INTRODUCTION 131 3.1 GREEN S FUNCTION METHOD 132 3.2 COMPARISON
METHOD 139 3.3 PROBABILITY DISTRIBUTION METHOD 150 3.4 SOLVABILITY AND
UNIQUENESS ANALYSIS 165 3.5 STABILITY ANALYSIS 169 3.6 ERROR ESTIMATES
174 3.7 RELATIVE STABILITY 180 3.8 APPLICATIONS TO PHYSICAL SYSTEMS 184
A) SLIDER AND RIGID ROLLER BEARING PROBLEMS 184 B) THE HANGING CABLE
PROBLEM 208 3.9 NUMERICAL EXAMPLES 213 3.10 NOTES AND COMMENTS 217
CHAPTER 4: ITO-TYPE STOCHASTIC DIFFERENTIAL SYSTEMS 4.0 INTRODUCTION 219
4.1 VARIATION OF CONSTANTS METHOD 220 4.2 COMPARISON METHOD 227 4.3
PROBABILITY DISTRIBUTION METHOD 234 4.4 STABILITY ANALYSIS 238 4.5 ERROR
ESTIMATES 245 4.6 RELATIVE STABILITY 252 4.7 APPLICATIONS TO POPULATION
DYNAMICS 255 4.8 NUMERICAL EXAMPLES 262 4.9 NOTES AND COMMENTS 266
CONTENTS IX CHAPTER 5: BOUNDARY VALUE PROBLEMS OF ITO-TYPE 5.0
INTRODUCTION 267 5.1 GREEN S FUNCTION METHOD 267 5.2 STABILITY ANALYSIS
277 5.3 ERROR ESTIMATES 280 5.4 RELATIVE STABILITY 285 5.5 NOTES AND
COMMENTS 287 APPENDIX A.O INTRODUCTION 289 A.I CONVERGENCE OF RANDOM
SEQUENCES 289 A.2 INITIAL VALUE PROBLEMS 291 A.3 BOUNDARY VALUE PROBLEMS
298 REFERENCES 301 INDEX 313
|
| adam_txt |
STOCHASTIC VERSUS DETERMINISTIC SYSTEMS OF DIFFERENTIAL EQUATIONS G. S.
LADDE THE UNIVERSITY OF TEXAS AT ARLINGTON ARLINGTON, TEXAS, U.S.A. M.
SAMBANDHAM MOREHOUSE COLLEGE ATLANTA, GEORGIA, U.S.A. MARCEL DEKKER,
INC. NEW YORK * BASEL CONTENTS PREFACE III NOTATION AND ABBREVIATIONS XI
CHAPTER 1: RANDOM POLYNOMIALS 1.0 INTRODUCTION 1 1.1 UPPER BOUND FOR
MEAN DEVIATION 1 1.2 ERROR ESTIMATES 4 1.3 EIGENVALUES OF RANDOM
MATRICES 10 1.4 STABILITY OF RANDOM MATRICES 21 1.5 APPLICATIONS 24 A)
ECONOMIC ANALYSIS OF CAPITAL AND INVESTMENT 25 B) FREE DAMPED MOTION OF
SPRING 26 1.6 NUMERICAL EXAMPLES 27 1.7 NOTES AND COMMENTS 35 CHAPTER 2:
ORDINARY DIFFERENTIAL SYSTEMS WITH RANDOM PARAMETERS 2.0 INTRODUCTION 37
2.1 VARIATION OF CONSTANTS METHOD 38 2.2 COMPARISON METHOD 45 2.3
PROBABILITY DISTRIBUTION METHOD 58 2.4 STABILITY ANALYSIS 66 2.5 ERROR
ESTIMATES 83 2.6 RELATIVE STABILITY 100 2.7 APPLICATIONS TO POPULATION
DYNAMICS 110 2.8 NUMERICAL EXAMPLES 122 2.9 NOTES AND COMMENTS 129 VN
VIII CONTENTS CHAPTER 3: BOUNDARY VALUE PROBLEMS WITH RANDOM PARAMETERS
3.0 INTRODUCTION 131 3.1 GREEN'S FUNCTION METHOD 132 3.2 COMPARISON
METHOD 139 3.3 PROBABILITY DISTRIBUTION METHOD 150 3.4 SOLVABILITY AND
UNIQUENESS ANALYSIS 165 3.5 STABILITY ANALYSIS 169 3.6 ERROR ESTIMATES
174 3.7 RELATIVE STABILITY 180 3.8 APPLICATIONS TO PHYSICAL SYSTEMS 184
A) SLIDER AND RIGID ROLLER BEARING PROBLEMS 184 B) THE HANGING CABLE
PROBLEM 208 3.9 NUMERICAL EXAMPLES 213 3.10 NOTES AND COMMENTS 217
CHAPTER 4: ITO-TYPE STOCHASTIC DIFFERENTIAL SYSTEMS 4.0 INTRODUCTION 219
4.1 VARIATION OF CONSTANTS METHOD 220 4.2 COMPARISON METHOD 227 4.3
PROBABILITY DISTRIBUTION METHOD 234 4.4 STABILITY ANALYSIS 238 4.5 ERROR
ESTIMATES 245 4.6 RELATIVE STABILITY 252 4.7 APPLICATIONS TO POPULATION
DYNAMICS 255 4.8 NUMERICAL EXAMPLES 262 4.9 NOTES AND COMMENTS 266
CONTENTS IX CHAPTER 5: BOUNDARY VALUE PROBLEMS OF ITO-TYPE 5.0
INTRODUCTION 267 5.1 GREEN'S FUNCTION METHOD 267 5.2 STABILITY ANALYSIS
277 5.3 ERROR ESTIMATES 280 5.4 RELATIVE STABILITY 285 5.5 NOTES AND
COMMENTS 287 APPENDIX A.O INTRODUCTION 289 A.I CONVERGENCE OF RANDOM
SEQUENCES 289 A.2 INITIAL VALUE PROBLEMS 291 A.3 BOUNDARY VALUE PROBLEMS
298 REFERENCES 301 INDEX 313 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T15:51:34Z |
| indexdate | 2024-07-09T20:45:13Z |
| institution | BVB |
| isbn | 082474697X |
| language | English |
| lccn | 2003063485 |
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| physical | xv, 317 p. graph. Darst. 24 cm |
| publishDate | 2004 |
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| series | Monographs and textbooks in pure and applied mathematics |
| series2 | Monographs and textbooks in pure and applied mathematics |
| spelling | Ladde, Gangaram S. 1940- Verfasser (DE-588)1026102693 aut Stochastic versus deterministic systems of differential equations G.S. Ladde, M. Sambandham New York [u.a.] Dekker 2004 xv, 317 p. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Monographs and textbooks in pure and applied mathematics 260 Includes bibliographical references (p. 301-311) and index Differential equations Equations, Simultaneous Stochastic differential equations Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Stochastisches Differentialgleichungssystem (DE-588)4225826-1 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Deterministisches System (DE-588)4426832-4 gnd rswk-swf Stochastisches Differentialgleichungssystem (DE-588)4225826-1 s Differentialgleichung (DE-588)4012249-9 s Deterministisches System (DE-588)4426832-4 s DE-604 Differentialgleichungssystem (DE-588)4121137-6 s Randwertproblem (DE-588)4048395-2 s Sambandham, M. Verfasser aut Monographs and textbooks in pure and applied mathematics 260 (DE-604)BV000001885 260 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015025214&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ladde, Gangaram S. 1940- Sambandham, M. Stochastic versus deterministic systems of differential equations Monographs and textbooks in pure and applied mathematics Differential equations Equations, Simultaneous Stochastic differential equations Differentialgleichung (DE-588)4012249-9 gnd Randwertproblem (DE-588)4048395-2 gnd Stochastisches Differentialgleichungssystem (DE-588)4225826-1 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Deterministisches System (DE-588)4426832-4 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4048395-2 (DE-588)4225826-1 (DE-588)4121137-6 (DE-588)4426832-4 |
| title | Stochastic versus deterministic systems of differential equations |
| title_auth | Stochastic versus deterministic systems of differential equations |
| title_exact_search | Stochastic versus deterministic systems of differential equations |
| title_exact_search_txtP | Stochastic versus deterministic systems of differential equations |
| title_full | Stochastic versus deterministic systems of differential equations G.S. Ladde, M. Sambandham |
| title_fullStr | Stochastic versus deterministic systems of differential equations G.S. Ladde, M. Sambandham |
| title_full_unstemmed | Stochastic versus deterministic systems of differential equations G.S. Ladde, M. Sambandham |
| title_short | Stochastic versus deterministic systems of differential equations |
| title_sort | stochastic versus deterministic systems of differential equations |
| topic | Differential equations Equations, Simultaneous Stochastic differential equations Differentialgleichung (DE-588)4012249-9 gnd Randwertproblem (DE-588)4048395-2 gnd Stochastisches Differentialgleichungssystem (DE-588)4225826-1 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Deterministisches System (DE-588)4426832-4 gnd |
| topic_facet | Differential equations Equations, Simultaneous Stochastic differential equations Differentialgleichung Randwertproblem Stochastisches Differentialgleichungssystem Differentialgleichungssystem Deterministisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015025214&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT laddegangarams stochasticversusdeterministicsystemsofdifferentialequations AT sambandhamm stochasticversusdeterministicsystemsofdifferentialequations |