On Stochastic Differential Equations
Author: Kiyosi Itō
Publisher: American Mathematical Soc.
Total Pages: 51
Release: 1951
ISBN-10: 9780821812044
ISBN-13: 0821812041
Author: Kiyosi Itō
Publisher: American Mathematical Soc.
Total Pages: 51
Release: 1951
ISBN-10: 9780821812044
ISBN-13: 0821812041
Author: Imre Csiszár
Publisher: Springer Science & Business Media
Total Pages: 384
Release: 1997
ISBN-10: 0817639713
ISBN-13: 9780817639716
Periodically Correlated Solutions to a Class of Stochastic Difference Equations.- On Nonlinear SDE'S whose Densities Evolve in a Finite-Dimensional Family.- Composition of Skeletons and Support Theorems.- Invariant Measure for a Wave Equation on a Riemannian Manifold.- Ergodic Distributed Control for Parameter Dependent Stochastic Semilinear Systems.- Dirichlet Forms, Caccioppoli Sets and the Skorohod Equation Masatoshi Fukushima.- Rate of Convergence of Moments of Spall's SPSA Method.- General Setting for Stochastic Processes Associated with Quantum Fields.- On a Class of Semilinear Stochastic Partial Differential Equations.- Parallel Numerical Solution of a Class of Volterra Integro-Differential Equations.- On the Laws of the Oseledets Spaces of Linear Stochastic Differential Equations.- On Stationarity of Additive Bilinear State-space Representation of Time Series.- On Convergence of Approximations of Ito-Volterra Equations.- Non-isotropic Ornstein-Uhlenbeck Process and White Noise Analysis.- Stochastic Processes with Independent Increments on a Lie Group and their Selfsimilar Properties.- Optimal Damping of Forced Oscillations Discrete-time Systems by Output Feedback.- Forecast of Lévy's Brownian Motion as the Observation Domain Undergoes Deformation.- A Maximal Inequality for the Skorohod Integral.- On the Kinematics of Stochastic Mechanics.- Stochastic Equations in Formal Mappings.- On Fisher's Information Matrix of an ARMA Process.- Statistical Analysis of Nonlinear and NonGaussian Time Series.- Bilinear Stochastic Systems with Long Range Dependence in Continuous Time.- On Support Theorems for Stochastic Nonlinear Partial Differential Equations.- Excitation and Performance in Continuous-time Stochastic Adaptive LQ-control.- Invariant Measures for Diffusion Processes in Conuclear Spaces.- Degree Theory on Wiener Space and an Application to a Class of SPDEs.- On the Interacting Measure-Valued Branching Processes.
Author: N. Ikeda
Publisher: Elsevier
Total Pages: 572
Release: 2014-06-28
ISBN-10: 9781483296159
ISBN-13: 1483296156
Being a systematic treatment of the modern theory of stochastic integrals and stochastic differential equations, the theory is developed within the martingale framework, which was developed by J.L. Doob and which plays an indispensable role in the modern theory of stochastic analysis. A considerable number of corrections and improvements have been made for the second edition of this classic work. In particular, major and substantial changes are in Chapter III and Chapter V where the sections treating excursions of Brownian Motion and the Malliavin Calculus have been expanded and refined. Sections discussing complex (conformal) martingales and Kahler diffusions have been added.
Author: Xuerong Mao
Publisher: Imperial College Press
Total Pages: 430
Release: 2006
ISBN-10: 9781860947018
ISBN-13: 1860947018
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.
Author: Peter H. Baxendale
Publisher: World Scientific
Total Pages: 416
Release: 2007
ISBN-10: 9789812706621
ISBN-13: 9812706623
The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations (SPDEs) and continues to attract attention of mathematicians of all generations, because, together with a short but thorough introduction to SPDEs, it presents a number of optimal and essentially non-improvable results about solvability for a large class of both linear and non-linear equations.
Author: N. Y.) Symposium in Applied Mathematics (1972 New York
Publisher: American Mathematical Soc.
Total Pages: 220
Release: 1973
ISBN-10: 0821813250
ISBN-13: 9780821813256
Author: Avner Friedman
Publisher: Academic Press
Total Pages: 248
Release: 2014-06-20
ISBN-10: 9781483217871
ISBN-13: 1483217876
Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume is divided into nine chapters. Chapters 1 to 5 deal with the basic theory of stochastic differential equations, including discussions of the Markov processes, Brownian motion, and the stochastic integral. Chapter 6 examines the connections between solutions of partial differential equations and stochastic differential equations, while Chapter 7 describes the Girsanov’s formula that is useful in the stochastic control theory. Chapters 8 and 9 evaluate the behavior of sample paths of the solution of a stochastic differential system, as time increases to infinity. This book is intended primarily for undergraduate and graduate mathematics students.
Author: S. S. Artemiev
Publisher: Walter de Gruyter
Total Pages: 184
Release: 1997-01-01
ISBN-10: 9783110944662
ISBN-13: 3110944669
Author: Rong SITU
Publisher: Springer Science & Business Media
Total Pages: 444
Release: 2006-05-06
ISBN-10: 9780387251752
ISBN-13: 0387251758
Stochastic differential equations (SDEs) are a powerful tool in science, mathematics, economics and finance. This book will help the reader to master the basic theory and learn some applications of SDEs. In particular, the reader will be provided with the backward SDE technique for use in research when considering financial problems in the market, and with the reflecting SDE technique to enable study of optimal stochastic population control problems. These two techniques are powerful and efficient, and can also be applied to research in many other problems in nature, science and elsewhere.
Author: Peter E. Kloeden
Publisher: Springer Science & Business Media
Total Pages: 636
Release: 2013-04-17
ISBN-10: 9783662126165
ISBN-13: 3662126168
The numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an easily accessible introduction to SDEs, their applications and the numerical methods to solve such equations. From the reviews: "The authors draw upon their own research and experiences in obviously many disciplines... considerable time has obviously been spent writing this in the simplest language possible." --ZAMP