Impulsive differential equations with a small parameter:
This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter one serves as an introduction. In chapter two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging me...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1994
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
v. 24 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter one serves as an introduction. In chapter two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In chapter three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method. The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities |
| Beschreibung: | viii, 268 p |
| ISBN: | 9789812832443 |
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| 520 | |a This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter one serves as an introduction. In chapter two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In chapter three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method. The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities | ||
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Datensatz im Suchindex
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| author | Baĭnov, D. |
| author_facet | Baĭnov, D. |
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| author_sort | Baĭnov, D. |
| author_variant | d b db |
| building | Verbundindex |
| bvnumber | BV044636967 |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636967 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812832443 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034940 |
| oclc_num | 1012702357 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | viii, 268 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Baĭnov, D. Verfasser aut Impulsive differential equations with a small parameter Drumi Bainov, Valéry Covachev Singapore World Scientific Pub. Co. c1994 viii, 268 p txt rdacontent c rdamedia cr rdacarrier Series on advances in mathematics for applied sciences v. 24 This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter one serves as an introduction. In chapter two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In chapter three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method. The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities Differential equations Impulsive differential equations Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s DE-604 Covachev, Valéry Sonstige oth Erscheint auch als Druck-Ausgabe 9789810214340 Erscheint auch als Druck-Ausgabe 9810214340 http://www.worldscientific.com/worldscibooks/10.1142/2058#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Baĭnov, D. Impulsive differential equations with a small parameter Differential equations Impulsive differential equations Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| subject_GND | (DE-588)4134367-0 (DE-588)4339336-6 |
| title | Impulsive differential equations with a small parameter |
| title_auth | Impulsive differential equations with a small parameter |
| title_exact_search | Impulsive differential equations with a small parameter |
| title_full | Impulsive differential equations with a small parameter Drumi Bainov, Valéry Covachev |
| title_fullStr | Impulsive differential equations with a small parameter Drumi Bainov, Valéry Covachev |
| title_full_unstemmed | Impulsive differential equations with a small parameter Drumi Bainov, Valéry Covachev |
| title_short | Impulsive differential equations with a small parameter |
| title_sort | impulsive differential equations with a small parameter |
| topic | Differential equations Impulsive differential equations Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| topic_facet | Differential equations Impulsive differential equations Asymptotisches Lösungsverhalten Impulsdifferentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2058#t=toc |
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