Read Introduction to the Theory of Differential Inclusions

Introduction to the Theory of Differential Inclusions

Georgi V. Smirnov

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Description:A differential inclusion is a relation of the form $\dot x \in F(x)$, where $F$ is a set-valued map associating any point $x \in R $ with a set $F(x) \subset R $. As such, the notion of a differential inclusion generalizes the notion of an ordinary differential equation of the form $\dot x = f(x)$. Therefore, all problems usually studied in the theory of ordinary differential equations (existence and continuation of solutions, dependence on initial conditions and parameters, etc.) can be studied for differential inclusions as well. Since a differential inclusion usually has many solutions starting at a given point, new types of problems arise, such as investigation of topological properties of the set of solutions, selection of solutions with given properties, and many others. Differential inclusions play an important role as a tool in the study of various dynamical processes described by equations with a discontinuous or multivalued right-hand side, occurring, in particular, in the study of dynamics of economical, social, and biological macrosystems. They also are very useful in proving existence theorems in control theory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Introduction to the Theory of Differential Inclusions. To get started finding Introduction to the Theory of Differential Inclusions, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0821829777

Description: A differential inclusion is a relation of the form $\dot x \in F(x)$, where $F$ is a set-valued map associating any point $x \in R $ with a set $F(x) \subset R $. As such, the notion of a differential inclusion generalizes the notion of an ordinary differential equation of the form $\dot x = f(x)$. Therefore, all problems usually studied in the theory of ordinary differential equations (existence and continuation of solutions, dependence on initial conditions and parameters, etc.) can be studied for differential inclusions as well. Since a differential inclusion usually has many solutions starting at a given point, new types of problems arise, such as investigation of topological properties of the set of solutions, selection of solutions with given properties, and many others. Differential inclusions play an important role as a tool in the study of various dynamical processes described by equations with a discontinuous or multivalued right-hand side, occurring, in particular, in the study of dynamics of economical, social, and biological macrosystems. They also are very useful in proving existence theorems in control theory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Introduction to the Theory of Differential Inclusions. To get started finding Introduction to the Theory of Differential Inclusions, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Introduction to the Theory of Differential Inclusions

Introduction to the Theory of Differential Inclusions

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