Corpus ID: 118348120

A generalized Allwright formula and the vector Riccati equation

@article{Andersen2010AGA,
  title={A generalized Allwright formula and the vector Riccati equation},
  author={K. Andersen and A. Sandqvist},
  journal={arXiv: Classical Analysis and ODEs},
  year={2010}
}
A classical formula of Allwright on the general solution of a scalar differential equation is generalized to a system of differential equations by means of the Kronecker product.The Allwright formula is connected with the Riccati equation, and in a similar way the generalized formula is connected with a special type of a differential system called a vector Riccati equation. Moreover,the classical result that a scalar differential equation is a Riccati equation if and only if its general… Expand
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