[PDF.13rw] Introduction to the Theory of Differential Inclusions (Graduate Studies in Mathematics)

Introduction to the Theory of Differential Inclusions (Graduate Studies in Mathematics)

[PDF.xn87] Introduction to the Theory of Differential Inclusions (Graduate Studies in Mathematics)

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 | #2926672 in Books |  Amer Mathematical Society |  2002-01 | Original language:English |  10.00 x7.00 x.75l,1.50 | File type: PDF | 226 pages

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A differential inclusion is a relation of the form $\dot x \in F(x)$, where $F$ is a set-valued map associating any point $x \in R^n$ with a set $F(x) \subset R^n$. 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 param...

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