On complete integrability for systems of differential equations
β Scribed by Nikolay A. Kudryashov
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 216 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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π SIMILAR VOLUMES
The integrability problem consists of finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define Weierstrass integrability and we determi
Abstrael--In this paper I describe some effective methods that can be applied to the study of the problem of existence of a polynomial or rational first integral of an arbitrary system of ordinary differential equations with polynomial right hand sides. I present an extension of the method of compat