Mathematics Books Differential Algebra Books

Differential algebra

Differential algebra

Differential algebra

This book covers the following topics: differential polynomial and their ideals, algebraic differential manifolds, structure of differential polynomials, systems of algebraic equations, constructive method, intersections of algebraic differential manifolds, Riquier's existence theorem for orthonomic system.

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s189 Pages
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The goal of this note is to contribute to the qualitative theory of differential-algebraic systems by providing new asymptotic stability criteria for a class of nonlinear, fully implicit DAEs with tractability index two. Topics covered includes: State space analysis of differential-algebraic equations, Properly formulated DAEs with tractability index 2, The state space form, Index reduction via differentiation, Stability criteria for differential-algebraic systems, Asymptotic stability of periodic solutions, Lyapunov’s direct method regarding DAEs.

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