Theory of Stochastic Differential Equations with Jumps and Applications
Mathematical and Analytical Techniques with Applications to Engineering

 USD 189.99

 USD 189.99
Descripción de editorial
This book is written for people who are interested in stochastic differential equations (SDEs) and their applications. It shows how to introduce and define the Ito integrals, to establish Ito’s differential rule (the socalled Ito formula), to solve the SDEs, and to establish Girsanov’s theorem and obtain weak solutions of SDEs. It also shows how to solve the filtering problem, to establish the martingale representation theorem, to solve the option pricing problem in a financial market, and to obtain the famous BlackScholes formula, along with other results.
In particular, the book will provide the reader 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, and science.
Theory of Stochastic Differential Equations with Jumps and Applications will be a valuable reference for grad students and professionals in physics, chemistry, biology, engineering, finance and mathematics who are interested in problems such as the following:
mathematical description and analysis of stocks and shares;
option pricing, optimal consumption, arbitragefree markets;
control theory and stochastic control theory and their applications;
nonlinear filtering problems with jumps;
population control.
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Algebraic and Differential Methods for Nonlinear Control Theory
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Treatise on Classical Elasticity
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