Stability analysis of impulsive functional differential equations /:
This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
Walter de Gruyter,
©2009.
|
| Schriftenreihe: | De Gruyter expositions in mathematics ;
52. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researc. |
| Beschreibung: | 1 online resource (viii, 230 pages). |
| Bibliographie: | Includes bibliographical references (pages 213-226) and index. |
| ISBN: | 9783110221824 3110221829 1282717189 9781282717183 |
| ISSN: | 0938-6572 ; |
Internformat
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| 505 | 0 | |a Frontmatter; Contents; Chapter 1. Introduction; Chapter 2. Lyapunov stability and boundedness; Chapter 3. Extensions of stability and boundedness theory; Chapter 4. Applications; Backmatter. | |
| 520 | |a This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researc. | ||
| 588 | 0 | |a Print version record. | |
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| 650 | 0 | |a Impulsive differential equations. |0 http://id.loc.gov/authorities/subjects/sh2009001057 | |
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 0 | |a Functional differential equations. |0 http://id.loc.gov/authorities/subjects/sh85052313 | |
| 650 | 0 | |a Lyapunov stability. |0 http://id.loc.gov/authorities/subjects/sh95003362 | |
| 650 | 6 | |a Équations différentielles impulsives. | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 6 | |a Équations différentielles fonctionnelles. | |
| 650 | 6 | |a Stabilité au sens de Liapounov. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Functional differential equations |2 fast | |
| 650 | 7 | |a Impulsive differential equations |2 fast | |
| 650 | 7 | |a Lyapunov stability |2 fast | |
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| contents | Frontmatter; Contents; Chapter 1. Introduction; Chapter 2. Lyapunov stability and boundedness; Chapter 3. Extensions of stability and boundedness theory; Chapter 4. Applications; Backmatter. |
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| indexdate | 2024-11-27T13:17:00Z |
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| issn | 0938-6572 ; |
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| series | De Gruyter expositions in mathematics ; |
| series2 | De Gruyter expositions in mathematics, |
| spelling | Stamova, Ivanka. http://id.loc.gov/authorities/names/no2010079775 Stability analysis of impulsive functional differential equations / by Ivanka Stamova. Berlin ; New York : Walter de Gruyter, ©2009. 1 online resource (viii, 230 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter expositions in mathematics, 0938-6572 ; 52 Includes bibliographical references (pages 213-226) and index. Frontmatter; Contents; Chapter 1. Introduction; Chapter 2. Lyapunov stability and boundedness; Chapter 3. Extensions of stability and boundedness theory; Chapter 4. Applications; Backmatter. This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researc. Print version record. In English. Impulsive differential equations. http://id.loc.gov/authorities/subjects/sh2009001057 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Functional differential equations. http://id.loc.gov/authorities/subjects/sh85052313 Lyapunov stability. http://id.loc.gov/authorities/subjects/sh95003362 Équations différentielles impulsives. Équations différentielles. Équations différentielles fonctionnelles. Stabilité au sens de Liapounov. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Functional differential equations fast Impulsive differential equations fast Lyapunov stability fast Funktionalgleichung gnd http://d-nb.info/gnd/4018923-5 Impulsdifferentialgleichung gnd http://d-nb.info/gnd/4339336-6 Ljapunov-Stabilitätstheorie gnd http://d-nb.info/gnd/4167992-1 has work: Stability analysis of impulsive functional differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCGcQphKytW9WdJhdB6drmb https://id.oclc.org/worldcat/ontology/hasWork Print version: Stamova, Ivanka. Stability analysis of impulsive functional differential equations. Berlin : Walter De Gruyter, 2009 9783110221817 (OCoLC)456186232 De Gruyter expositions in mathematics ; 52. http://id.loc.gov/authorities/names/n90653843 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=302853 Volltext |
| spellingShingle | Stamova, Ivanka Stability analysis of impulsive functional differential equations / De Gruyter expositions in mathematics ; Frontmatter; Contents; Chapter 1. Introduction; Chapter 2. Lyapunov stability and boundedness; Chapter 3. Extensions of stability and boundedness theory; Chapter 4. Applications; Backmatter. Impulsive differential equations. http://id.loc.gov/authorities/subjects/sh2009001057 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Functional differential equations. http://id.loc.gov/authorities/subjects/sh85052313 Lyapunov stability. http://id.loc.gov/authorities/subjects/sh95003362 Équations différentielles impulsives. Équations différentielles. Équations différentielles fonctionnelles. Stabilité au sens de Liapounov. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Functional differential equations fast Impulsive differential equations fast Lyapunov stability fast Funktionalgleichung gnd http://d-nb.info/gnd/4018923-5 Impulsdifferentialgleichung gnd http://d-nb.info/gnd/4339336-6 Ljapunov-Stabilitätstheorie gnd http://d-nb.info/gnd/4167992-1 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2009001057 http://id.loc.gov/authorities/subjects/sh85037890 http://id.loc.gov/authorities/subjects/sh85052313 http://id.loc.gov/authorities/subjects/sh95003362 http://d-nb.info/gnd/4018923-5 http://d-nb.info/gnd/4339336-6 http://d-nb.info/gnd/4167992-1 |
| title | Stability analysis of impulsive functional differential equations / |
| title_auth | Stability analysis of impulsive functional differential equations / |
| title_exact_search | Stability analysis of impulsive functional differential equations / |
| title_full | Stability analysis of impulsive functional differential equations / by Ivanka Stamova. |
| title_fullStr | Stability analysis of impulsive functional differential equations / by Ivanka Stamova. |
| title_full_unstemmed | Stability analysis of impulsive functional differential equations / by Ivanka Stamova. |
| title_short | Stability analysis of impulsive functional differential equations / |
| title_sort | stability analysis of impulsive functional differential equations |
| topic | Impulsive differential equations. http://id.loc.gov/authorities/subjects/sh2009001057 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Functional differential equations. http://id.loc.gov/authorities/subjects/sh85052313 Lyapunov stability. http://id.loc.gov/authorities/subjects/sh95003362 Équations différentielles impulsives. Équations différentielles. Équations différentielles fonctionnelles. Stabilité au sens de Liapounov. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Functional differential equations fast Impulsive differential equations fast Lyapunov stability fast Funktionalgleichung gnd http://d-nb.info/gnd/4018923-5 Impulsdifferentialgleichung gnd http://d-nb.info/gnd/4339336-6 Ljapunov-Stabilitätstheorie gnd http://d-nb.info/gnd/4167992-1 |
| topic_facet | Impulsive differential equations. Differential equations. Functional differential equations. Lyapunov stability. Équations différentielles impulsives. Équations différentielles. Équations différentielles fonctionnelles. Stabilité au sens de Liapounov. MATHEMATICS Differential Equations General. Differential equations Functional differential equations Impulsive differential equations Lyapunov stability Funktionalgleichung Impulsdifferentialgleichung Ljapunov-Stabilitätstheorie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=302853 |
| work_keys_str_mv | AT stamovaivanka stabilityanalysisofimpulsivefunctionaldifferentialequations |