Differential-algebraic Equations: Analysis and Numerical Solution

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European Mathematical Society, Jan 1, 2006 - Mathematics - 377 pages
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This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems.
  

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asalam o alikum
it is a very googd book on differential algebraic equation.i am also work on this equation.

Contents

Introduction
3
Linear differentialalgebraic equations with constant coefficients
13
Linear differentialalgebraic equations with variable coefficients
56
Nonlinear differentialalgebraic equations
151
Numerical methods for strangenessfree problems
217
Numerical methods for index reduction
273
Boundary value problems
298
Software for the numerical solution of differentialalgebraic
352
Bibliography
359
Index
373
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