On initial value problems for ordinary differential-algebraic equations

@article{Pritchard1998OnIV,
  title={On initial value problems for ordinary differential-algebraic equations},
  author={F. Leon Pritchard and William Y. Sit},
  journal={ACM SIGSAM Bulletin},
  year={1998},
  volume={32},
  pages={61}
}
We consider systems of ordinary differential equations which are polynomial in the unknown functions and their derivatives. For a given system, we are concerned with computing algebraic constraints on the initial conditions such that on the algebraic variety determined by the constraint equations, the initial value problem of the original system of differential equations has a unique solution. For these systems, we introduce the concept of essential degree, and an algorithmic process called… CONTINUE READING