Surveys in Differential-Algebraic Equations I - Differential-Algebraic Equations Forum 2013 edition

Marc Notes: The need for a rigorous mathematical theory for differential-algebraic equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews and presentations of the current state of research.