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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

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📜 SIMILAR VOLUMES


Hammerstein integral equivalent of Ricca
✍ J. D. Pulfer; M. A. Whitehead 📂 Article 📅 1974 🏛 John Wiley and Sons 🌐 English ⚖ 566 KB

## 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

On the equivalence between matrix riccat
✍ Alan Schumitzky 📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 393 KB

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