Thinking about ordinary differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1997
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| Edition: | 1. publ. |
| Series: | Cambridge texts in applied mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 247 S. graph. Darst. |
| ISBN: | 0521553148 0521557429 |
Staff View
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Record in the Search Index
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| adam_text | THINKING ABOUT ORDINARY DIFFERENTIAL EQUATIONS ROBERT E. O MALLEY, JR.
UNIVERSITY OF WASHINGTON TSJM M L W W CAMBRIDGE UNIVERSITY PRESS
CONTENTS 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 FIRST-ORDER EQUATIONS
INTRODUCTORY REMARKS SEPARABLE EQUATIONS EXACT EQUATIONS LINEAR
EQUATIONS EQUATIONS OF HOMOGENEOUS TYPE SPECIAL SECOND-ORDER EQUATIONS
EPILOG EXERCISES PREFACE PAGE IX 1 1 13 16 20 24 25 28 28 2 LINEAR
SECOND-ORDER EQUATIONS 42 2.1 HOMOGENEOUS EQUATIONS 42 2.2
NONHOMOGENEOUS EQUATIONS 53 2.3 APPLICATIONS 61 2.4 EXERCISES 65 3 POWER
SERIES SOLUTIONS AND SPECIAL FUNCTIONS 80 3.1 TAYLOR SERIES 80 3.2
REGULAR SINGULAR POINTS AND THE METHOD OF FROBENIUS 88 3.3 BESSEL
FUNCTIONS 99 3.4 LEGENDRE POLYNOMIALS AND STURM-LIOUVILLE PROBLEMS 106
3.5 EARTHQUAKE PROTECTION 111 3.6 EXERCISES 113 4 SYSTEMS OF LINEAR
DIFFERENTIAL EQUATIONS 133 4.1 THE FUNDAMENTAL MATRIX 133 VN VIII
CONTENTS 4.2 THE MATRIX EXPONENTIAL 153 4.3 EXERCISES 161 5 STABILITY
CONCEPTS 176 5.1 TWO-DIMENSIONAL LINEAR SYSTEMS 176 5.2 USING THE PHASE
PLANE FOR NONLINEAR PROBLEMS 184 5.3 STABILITY FOR HIGHER-DIMENSIONAL
SYSTEMS 190 5.4 LIAPUNOV FUNCTIONS 196 5.5 EXERCISES 198 6 SINGULAR
PERTURBATION METHODS 208 6.1 REGULAR AND SINGULAR PERTURBATIONS 208 6.2
LINEAR INITIAL VALUE PROBLEMS 212 6.3 NONLINEAR INITIAL VALUE PROBLEMS
217 6.4 TWO-POINT PROBLEMS 223 6.5 A COMBUSTION MODEL EXHIBITING
METASTABILITY 233 6.6 EXERCISES 239 REFERENCES ON SINGULAR PERTURBATIONS
GENERAL REFERENCES 243 INDEX 244
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:12:11Z |
| institution | BVB |
| isbn | 0521553148 0521557429 |
| language | English |
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| physical | X, 247 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge Univ. Press |
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| series2 | Cambridge texts in applied mathematics |
| spelling | O'Malley, Robert E. Verfasser aut Thinking about ordinary differential equations Robert E. O'Malley 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1997 X, 247 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge texts in applied mathematics Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007798430&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | O'Malley, Robert E. Thinking about ordinary differential equations Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4020929-5 |
| title | Thinking about ordinary differential equations |
| title_auth | Thinking about ordinary differential equations |
| title_exact_search | Thinking about ordinary differential equations |
| title_full | Thinking about ordinary differential equations Robert E. O'Malley |
| title_fullStr | Thinking about ordinary differential equations Robert E. O'Malley |
| title_full_unstemmed | Thinking about ordinary differential equations Robert E. O'Malley |
| title_short | Thinking about ordinary differential equations |
| title_sort | thinking about ordinary differential equations |
| topic | Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Differential equations Gewöhnliche Differentialgleichung |
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