Stochastic stability of differential equations in abstract spaces /:
The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological prob...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY :
Cambridge University Press,
2019.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
453. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems. Its core material is divided into three parts devoted respectively to the stochastic stability of linear systems, non-linear systems, and time-delay systems. The focus is on stability of stochastic dynamical processes affected by white noise, which are described by partial differential equations such as the Navier-Stokes equations. A range of mathematicians and scientists, including those involved in numerical computation, will find this book useful. It is also ideal for engineers working on stochastic systems and their control, and researchers in mathematical physics or biology. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781108626057 110862605X 9781108653039 1108653030 |
Internformat
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| 245 | 1 | 0 | |a Stochastic stability of differential equations in abstract spaces / |c Kai Liu (University of Liverpool). |
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| 505 | 0 | |a Preliminaries -- Stability of linear stochastic differential equations -- Stability of non linear stochastic differential equations -- Stability of stochastic functional differential equations -- Some applications related to stochastic stability. | |
| 520 | |a The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems. Its core material is divided into three parts devoted respectively to the stochastic stability of linear systems, non-linear systems, and time-delay systems. The focus is on stability of stochastic dynamical processes affected by white noise, which are described by partial differential equations such as the Navier-Stokes equations. A range of mathematicians and scientists, including those involved in numerical computation, will find this book useful. It is also ideal for engineers working on stochastic systems and their control, and researchers in mathematical physics or biology. | ||
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| 650 | 6 | |a Équations différentielles non linéaires. | |
| 650 | 6 | |a Espaces algébriques. | |
| 650 | 6 | |a Stabilité. | |
| 650 | 6 | |a Géométrie algébrique. | |
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| author | Liu, Kai, 1964- |
| author_GND | http://id.loc.gov/authorities/names/n2005040831 |
| author_facet | Liu, Kai, 1964- |
| author_role | aut |
| author_sort | Liu, Kai, 1964- |
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| callnumber-first | Q - Science |
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| contents | Preliminaries -- Stability of linear stochastic differential equations -- Stability of non linear stochastic differential equations -- Stability of stochastic functional differential equations -- Some applications related to stochastic stability. |
| ctrlnum | (OCoLC)1098279099 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1098279099 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-18T14:25:38Z |
| institution | BVB |
| isbn | 9781108626057 110862605X 9781108653039 1108653030 |
| language | English |
| oclc_num | 1098279099 |
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| publishDate | 2019 |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Liu, Kai, 1964- author. https://id.oclc.org/worldcat/entity/E39PCjDqFQ63KCDvBtjK4kkVqP http://id.loc.gov/authorities/names/n2005040831 Stochastic stability of differential equations in abstract spaces / Kai Liu (University of Liverpool). Cambridge ; New York, NY : Cambridge University Press, 2019. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 453 Includes bibliographical references and index. Preliminaries -- Stability of linear stochastic differential equations -- Stability of non linear stochastic differential equations -- Stability of stochastic functional differential equations -- Some applications related to stochastic stability. The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems. Its core material is divided into three parts devoted respectively to the stochastic stability of linear systems, non-linear systems, and time-delay systems. The focus is on stability of stochastic dynamical processes affected by white noise, which are described by partial differential equations such as the Navier-Stokes equations. A range of mathematicians and scientists, including those involved in numerical computation, will find this book useful. It is also ideal for engineers working on stochastic systems and their control, and researchers in mathematical physics or biology. Online resource; title from digital title page (viewed on June 04, 2019). Stochastic differential equations. http://id.loc.gov/authorities/subjects/sh85128177 Differential equations, Linear. http://id.loc.gov/authorities/subjects/sh85037903 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Stability. http://id.loc.gov/authorities/subjects/sh85127185 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Équations différentielles stochastiques. Équations différentielles linéaires. Équations différentielles non linéaires. Espaces algébriques. Stabilité. Géométrie algébrique. stability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ecuaciones en derivadas parciales estocásticas embucm Algebraic spaces fast Differential equations, Linear fast Differential equations, Nonlinear fast Geometry, Algebraic fast Stability fast Stochastic differential equations fast Print version: Liu, Kai, 1964- Stochastic stability of differential equations in abstract spaces. Cambridge ; New York, NY : Cambridge University Press, 2019 9781108705172 (DLC) 2018049978 (OCoLC)1076369802 London Mathematical Society lecture note series ; 453. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Liu, Kai, 1964- Stochastic stability of differential equations in abstract spaces / London Mathematical Society lecture note series ; Preliminaries -- Stability of linear stochastic differential equations -- Stability of non linear stochastic differential equations -- Stability of stochastic functional differential equations -- Some applications related to stochastic stability. Stochastic differential equations. http://id.loc.gov/authorities/subjects/sh85128177 Differential equations, Linear. http://id.loc.gov/authorities/subjects/sh85037903 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Stability. http://id.loc.gov/authorities/subjects/sh85127185 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Équations différentielles stochastiques. Équations différentielles linéaires. Équations différentielles non linéaires. Espaces algébriques. Stabilité. Géométrie algébrique. stability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ecuaciones en derivadas parciales estocásticas embucm Algebraic spaces fast Differential equations, Linear fast Differential equations, Nonlinear fast Geometry, Algebraic fast Stability fast Stochastic differential equations fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85128177 http://id.loc.gov/authorities/subjects/sh85037903 http://id.loc.gov/authorities/subjects/sh85037906 http://id.loc.gov/authorities/subjects/sh85003437 http://id.loc.gov/authorities/subjects/sh85127185 http://id.loc.gov/authorities/subjects/sh85054140 |
| title | Stochastic stability of differential equations in abstract spaces / |
| title_auth | Stochastic stability of differential equations in abstract spaces / |
| title_exact_search | Stochastic stability of differential equations in abstract spaces / |
| title_full | Stochastic stability of differential equations in abstract spaces / Kai Liu (University of Liverpool). |
| title_fullStr | Stochastic stability of differential equations in abstract spaces / Kai Liu (University of Liverpool). |
| title_full_unstemmed | Stochastic stability of differential equations in abstract spaces / Kai Liu (University of Liverpool). |
| title_short | Stochastic stability of differential equations in abstract spaces / |
| title_sort | stochastic stability of differential equations in abstract spaces |
| topic | Stochastic differential equations. http://id.loc.gov/authorities/subjects/sh85128177 Differential equations, Linear. http://id.loc.gov/authorities/subjects/sh85037903 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Algebraic spaces. http://id.loc.gov/authorities/subjects/sh85003437 Stability. http://id.loc.gov/authorities/subjects/sh85127185 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Équations différentielles stochastiques. Équations différentielles linéaires. Équations différentielles non linéaires. Espaces algébriques. Stabilité. Géométrie algébrique. stability. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ecuaciones en derivadas parciales estocásticas embucm Algebraic spaces fast Differential equations, Linear fast Differential equations, Nonlinear fast Geometry, Algebraic fast Stability fast Stochastic differential equations fast |
| topic_facet | Stochastic differential equations. Differential equations, Linear. Differential equations, Nonlinear. Algebraic spaces. Stability. Geometry, Algebraic. Équations différentielles stochastiques. Équations différentielles linéaires. Équations différentielles non linéaires. Espaces algébriques. Stabilité. Géométrie algébrique. stability. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Ecuaciones en derivadas parciales estocásticas Algebraic spaces Differential equations, Linear Differential equations, Nonlinear Geometry, Algebraic Stability Stochastic differential equations |
| work_keys_str_mv | AT liukai stochasticstabilityofdifferentialequationsinabstractspaces |