A second course in elementary differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Orlando u.a.
Acad. Pr.
1986
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 259 S. |
| ISBN: | 0127339108 |
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MARC
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| 245 | 1 | 0 | |a A second course in elementary differential equations |
| 264 | 1 | |a Orlando u.a. |b Acad. Pr. |c 1986 | |
| 300 | |a XI, 259 S. | ||
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Record in the Search Index
| _version_ | 1804116750088798208 |
|---|---|
| adam_text | Contents
Preface, ix
1
Systems of Linear Differential Equations 1
1. Introduction, 1
2. Some Elementary Matrix Algebra, 2
3. The Structure of Solutions of Homogeneous Linear Systems, 14
4. Matrix Analysis and the Matrix Exponential, 22
5. The Constant Coefficient Case: Real and Distinct Eigenvalues, 28
6. The Constant Coefficient Case: Complex and Distinct Eigenvalues, 40
7. The Constant Coefficient Case: The Putzer Algorithm, 49
8. General Linear Systems, 61
9. Some Elementary Stability Considerations, 69
10. Periodic Coefficients, 77
11. Scalar Equations, 82
12. An Application: Coupled Oscillators, 87
2
Two Dimensional Autonomous Systems 97
1. Introduction, 97
2. The Phase Plane, 100
vii
Viii CONTENTS
3. Critical Points of Some Special Linear Systems, 108
4. Critical Points of General Two Dimensional Linear
Systems, 116
5. Behavior of Nonlinear Two Dimensional Systems Near a
Critical Point, 120
6. Elementary Liapunov Stability Theory, 132
7. Limit Cycles and the Poincarg Bendixson Theorem, 141
8. An Example: Lotka Volterra Competition, 149
9. An Example: The Simple Pendulum, 154
3
Existence Theory 161
1. Introduction, 161
2. Preliminaries, 162
3. The Contraction Mapping Theorem, 170
4. The Initial Value Problem for One Scalar Differential
Equation, 173
5. The Initial Value Problem for Systems of Differential
Equations, 181
6. An Existence Theorem for a Boundary Value Problem, 188
4
Boundary Value Problems 195
1. Introduction, 195
2. Linear Boundary Value Problems, 196
3. Oscillation and Comparison Theorems, 206
4. Sturm Liouville Problems, 213
5. The Existence of Eigenvalues for Sturm Liouville Problems, 215
6. Two Properties of Eigenfunctions, 220
7. An Alternate Formulation—Integral Equations, 224
8. Eigenfunction Expansions, 225
9. The Inhomogeneous Sturm Liouville Problem, 238
10. Some Standard Applications of Sturm Liouville Theory, 242
11. Nonlinear Boundary Value Problems, 251
Index, 257
|
| any_adam_object | 1 |
| author | Waltman, Paul E. |
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| dewey-search | 515.3/5 |
| dewey-sort | 3515.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002290459 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:28Z |
| institution | BVB |
| isbn | 0127339108 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001505131 |
| oclc_num | 13180637 |
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| physical | XI, 259 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Acad. Pr. |
| record_format | marc |
| spelling | Waltman, Paul E. Verfasser (DE-588)1203408153 aut A second course in elementary differential equations Orlando u.a. Acad. Pr. 1986 XI, 259 S. txt rdacontent n rdamedia nc rdacarrier Équations différentielles Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001505131&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Waltman, Paul E. A second course in elementary differential equations Équations différentielles Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4020929-5 |
| title | A second course in elementary differential equations |
| title_auth | A second course in elementary differential equations |
| title_exact_search | A second course in elementary differential equations |
| title_full | A second course in elementary differential equations |
| title_fullStr | A second course in elementary differential equations |
| title_full_unstemmed | A second course in elementary differential equations |
| title_short | A second course in elementary differential equations |
| title_sort | a second course in elementary differential equations |
| topic | Équations différentielles Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Équations différentielles Differential equations Gewöhnliche Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001505131&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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