Local and Global Invariants of Linear Differential-algebraic Equations and Their Relation

@inproceedings{MEHRMANNzAbstract2008LocalAG,
  title={Local and Global Invariants of Linear Differential-algebraic Equations and Their Relation},
  author={VOLKER MEHRMANNzAbstract},
  year={2008}
}
  • VOLKER MEHRMANNzAbstract
  • Published 2008
We study local and global invariants of linear diierential-algebraic equations with variable coeecients and their relation. In particular, we discuss the connection between diierent approaches to the analysis of such equations and the associated indices, which are the diierentiation index and the strangeness index. This leads to a new proof of an existence and uniqueness theorem as well as to an adequate numerical algorithm for the solution of linear diierential-algebraic equations.