Differential Equations with Small Parameters and Relaxation Oscillations
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1980
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| Schriftenreihe: | Mathematical Concepts and Methods in Science and Engineering
13 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 100 | 1 | |a Mishchenko, E. F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Differential Equations with Small Parameters and Relaxation Oscillations |c by E. F. Mishchenko, N. Kh. Rozov |
| 264 | 1 | |a Boston, MA |b Springer US |c 1980 | |
| 300 | |a 1 Online-Ressource (X, 228 p) | ||
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| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematical Concepts and Methods in Science and Engineering |v 13 | |
| 500 | |a A large amount of work has been done on ordinary differential equations with small parameters multiplying derivatives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both slow- and fast-motion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points. The main results examined were obtained by L. S. Pontryagin and the authors. Other works have also been taken into account: A. A. Dorodnitsyn's investigations of Van der Pol's equation, results obtained by N. A. Zheleztsov and L. V. Rodygin concerning relaxation oscillations in electronic devices, and results due to A. N. Tikhonov and A. B. Vasil'eva concerning differential equations with small parameters multiplying certain derivatives. E. F. Mishchenko N. Kh. Rozov v CONTENTS Chapter I. Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations 1. Smooth Dependence. Poincare's Theorem . 1 2. Dependence of Solutions on a Parameter, on an Infinite Time Interval 3 3. Equations with Small Parameters 4 Multiplying Derivatives 4. Second-Order Systems. Fast and Slow Motion | ||
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2067978 |
|---|---|
| _version_ | 1820806744526290944 |
| any_adam_object | |
| author | Mishchenko, E. F. |
| author_facet | Mishchenko, E. F. |
| author_role | aut |
| author_sort | Mishchenko, E. F. |
| author_variant | e f m ef efm |
| building | Verbundindex |
| bvnumber | BV042420969 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)1184503665 (DE-599)BVBBV042420969 |
| dewey-full | 50 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 050 - General serial publications |
| dewey-raw | 50 |
| dewey-search | 50 |
| dewey-sort | 250 |
| dewey-tens | 050 - General serial publications |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-1-4615-9047-7 |
| format | Electronic eBook |
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| id | DE-604.BV042420969 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T04:23:22Z |
| institution | BVB |
| isbn | 9781461590477 9781461590491 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856386 |
| oclc_num | 1184503665 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 228 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer US |
| record_format | marc |
| series | Mathematical Concepts and Methods in Science and Engineering |
| series2 | Mathematical Concepts and Methods in Science and Engineering |
| spellingShingle | Mishchenko, E. F. Differential Equations with Small Parameters and Relaxation Oscillations Mathematical Concepts and Methods in Science and Engineering Science (General) Science, general Naturwissenschaft Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Asymptotik (DE-588)4126634-1 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4128130-5 (DE-588)4126634-1 |
| title | Differential Equations with Small Parameters and Relaxation Oscillations |
| title_auth | Differential Equations with Small Parameters and Relaxation Oscillations |
| title_exact_search | Differential Equations with Small Parameters and Relaxation Oscillations |
| title_full | Differential Equations with Small Parameters and Relaxation Oscillations by E. F. Mishchenko, N. Kh. Rozov |
| title_fullStr | Differential Equations with Small Parameters and Relaxation Oscillations by E. F. Mishchenko, N. Kh. Rozov |
| title_full_unstemmed | Differential Equations with Small Parameters and Relaxation Oscillations by E. F. Mishchenko, N. Kh. Rozov |
| title_short | Differential Equations with Small Parameters and Relaxation Oscillations |
| title_sort | differential equations with small parameters and relaxation oscillations |
| topic | Science (General) Science, general Naturwissenschaft Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Asymptotik (DE-588)4126634-1 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Gewöhnliche Differentialgleichung Numerisches Verfahren Asymptotik |
| url | https://doi.org/10.1007/978-1-4615-9047-7 |
| volume_link | (DE-604)BV000001144 |
| work_keys_str_mv | AT mishchenkoef differentialequationswithsmallparametersandrelaxationoscillations AT rozovnkh differentialequationswithsmallparametersandrelaxationoscillations |