Equivalence problem and integrability of the Riccati equations
✍ Scribed by Tomasz Czyżycki; Jiří Hrivnák
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2009
- Tongue
- English
- Weight
- 231 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1021-9722
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A transformation exists which allows the general Riccati equation to be written in a simpler form: The transformed equation has the equivalent nonlinear Hammerstein integral equation if the kernel __N__(r, r′) satisfies three conditions: and and A solution of the nonlinear integra
It is shown that the solution to every matrix Riccati equation can be generated by the resolvent of a certain Fredholm integral operator and, conversely, this resolvent can be determined from the corresponding Riccati solution. This result leads to a computational scheme, based on initial-value meth