Description

Book Synopsis
This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the basic principles at an introductory level but emphasizes current advanced level research trends. The material takes into account all the features of Ito equations, Markovian switching, interval systems and time-lag. The theory developed is applicable in different and complicated situations in many branches of science and industry.

Table of Contents
Brownian Motions and Stochastic Integrals; Inequalities; Stochastic Differential Equations with Markovian Switching; Approximate Solutions; Boundedness and Stability; Numerical Methods for Asymptotic Properties; Stochastic Differential Delay Equations with Markovian Switching; Stochastic Functional Differential Equations with Markovian Switching; Stochastic Interval Systems with Markovian Switching; Applications.

Stochastic Differential Equations With Markovian

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    A Hardback by Xuerong Mao, Chenggui Yuan

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      Publisher: Imperial College Press
      Publication Date: Publication Date: 11/08/2006
      ISBN13: 9781860947018, 978-1860947018
      ISBN10: 1860947018

      Description

      Book Synopsis
      This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the basic principles at an introductory level but emphasizes current advanced level research trends. The material takes into account all the features of Ito equations, Markovian switching, interval systems and time-lag. The theory developed is applicable in different and complicated situations in many branches of science and industry.

      Table of Contents
      Brownian Motions and Stochastic Integrals; Inequalities; Stochastic Differential Equations with Markovian Switching; Approximate Solutions; Boundedness and Stability; Numerical Methods for Asymptotic Properties; Stochastic Differential Delay Equations with Markovian Switching; Stochastic Functional Differential Equations with Markovian Switching; Stochastic Interval Systems with Markovian Switching; Applications.

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