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|a Liu, Kai,
|d 1964-
|e author.
|
| 245 |
1 |
0 |
|a Stochastic stability of differential equations in abstract spaces /
|c Kai Liu (University of Liverpool).
|
| 264 |
|
1 |
|a Cambridge ;
|a New York, NY :
|b Cambridge University Press,
|c 2019.
|
| 300 |
|
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|a 1 online resource.
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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|
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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1 |
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|a London Mathematical Society lecture note series ;
|v 453
|
| 504 |
|
|
|a Includes bibliographical references and index.
|
| 505 |
0 |
0 |
|a Machine generated contents note:
|g 1.1.
|t Linear Operators, Semigroups, and Examples --
|g 1.2.
|t Stochastic Processes and Martingales --
|g 1.3.
|t Wiener Processes and Stochastic Integration --
|g 1.4.
|t Stochastic Differential Equations --
|g 1.5.
|t Definitions and Methods of Stochastic Stability --
|g 1.6.
|t Notes and Comments --
|g 2.1.
|t Deterministic Linear Systems --
|g 2.2.
|t Lyapunov Equations and Stochastic Stability --
|g 2.3.
|t Systems with Boundary Noise --
|g 2.4.
|t Exponentially Stable Stationary Solutions --
|g 2.5.
|t Some Examples --
|g 2.6.
|t Notes and Comments --
|g 3.1.
|t Extension of Linear Stability Criteria --
|g 3.2.
|t Comparison Approach --
|g 3.3.
|t Nonautonomous Stochastic Systems --
|g 3.4.
|t Stability in Probability and Sample Path --
|g 3.5.
|t Lyapunov Function Characterization --
|g 3.6.
|t Two Applications --
|g 3.7.
|t Invariant Measures and Ultimate Boundedness --
|g 3.8.
|t Decay Rate --
|g 3.9.
|t Stabilization of Systems by Noise --
|g 3.10.
|t Notes and Comments --
|g 4.1.
|t Deterministic Systems --
|g 4.2.
|t Linear Systems with Additive Noise --
|g 4.3.
|t Linear Systems with Multiplicative Noise --
|g 4.4.
|t Stability of Nonlinear Systems --
|g 4.5.
|t Notes and Comments --
|g 5.1.
|t Applications in Mathematical Biology --
|g 5.2.
|t Applications in Mathematical Physics --
|g 5.3.
|t Applications in Stochastic Control --
|g 5.4.
|t Notes and Comments --
|g A.
|t Proof of Theorem 4.1.5 --
|g B.
|t Proof of Proposition 4.1.7 --
|g C.
|t Proof of Proposition 4.1.10 --
|g D.
|t Proof of Proposition 4.1.14.
|
| 533 |
|
|
|a Electronic reproduction.
|b Ann Arbor, MI
|n Available via World Wide Web.
|
| 588 |
|
|
|a Description based on online resource; title from digital title page (viewed on June 04, 2019).
|
| 650 |
|
0 |
|a Stochastic differential equations.
|
| 650 |
|
0 |
|a Differential equations, Linear.
|
| 650 |
|
0 |
|a Differential equations, Nonlinear.
|
| 650 |
|
0 |
|a Algebraic spaces.
|
| 650 |
|
0 |
|a Stability.
|
| 650 |
|
0 |
|a Geometry, Algebraic.
|
| 710 |
2 |
|
|a ProQuest (Firm)
|
| 776 |
0 |
8 |
|i Print version:
|a Liu, Kai, 1964-
|t Stochastic stability of differential equations in abstract spaces.
|d Cambridge ; New York, NY : Cambridge University Press, 2019
|z 9781108705172
|w (DLC) 2018049978
|
| 830 |
|
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|a London Mathematical Society lecture note series ;
|v 453.
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|u https://ebookcentral.proquest.com/lib/santaclara/detail.action?docID=5761091
|z Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)
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