STOCHASTIC DIFFERENTIAL EQUATIONS AND ITS APPPLICATIONS - Gikhman, Ilya
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This book gives a comprehensive introduction to some modern problems of stochastic differential equations and its applications. The content can be divided into four primary parts.1) Generalization of standard growth condition of the diffusion coefficient of Ito equations.2) Two parametric Ito formula and Stochastic Goursat problem, 3) Cauchy problem for linear and nonlinear stochastic equations of the parabolic type. 4) Applications. Latter part deals with: Stochastic boundary value problem of the hyperbolic type, Stochastic vibration of mechanical systems under high frequency external random…mehr

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Produktbeschreibung
This book gives a comprehensive introduction to some modern problems of stochastic differential equations and its applications. The content can be divided into four primary parts.1) Generalization of standard growth condition of the diffusion coefficient of Ito equations.2) Two parametric Ito formula and Stochastic Goursat problem, 3) Cauchy problem for linear and nonlinear stochastic equations of the parabolic type. 4) Applications. Latter part deals with: Stochastic boundary value problem of the hyperbolic type, Stochastic vibration of mechanical systems under high frequency external random forces, Stochastic Schrödinger Equations, and Elements of Derivatives pricing.
Autorenporträt
Extended research and teaching in probability and financial fields. Doctorate degree, Institute of Mathematics, Kiev. Dissertation: "Stochastic Equations: Studies and Their Applications." Principal Researcher, Department of Probability and Statistics IPMM, Donetsk, Ukraine. Teaching in University of Cincinnati, Northern Kentucky University.