A. Shabat, Elena Kartaschova,
"Computable Integrability. Chapter 2: Riccati equation"
, Serie RISC Report Series, University of Linz, Austria, Nummer 05-08, RISC, Johannes Kepler University, Altenberger Str. 69, 4040 Linz, 2005
It is preliminary version of Chapter 2 of a textbook "Computable Integrability". We use Riccaati equation (RE) as a main example in order to demonstrate ideas and notions introduced in the Chapter 1: integrability in quadratures, conservation laws, etc. We constructed some equivalent forms of Riccati equation and considered different approaches to the soluting RE.
Sprache der Kurzfassung:
Johannes Kepler University, Altenberger Str. 69, 4040 Linz