Polynomial vector fields with given partial and first integrals

Jaume Llibre, Rafael Ramírez

Research output: Chapter in BookChapterResearchpeer-review

Abstract

© Springer International Publishing Switzerland 2016. The solutions of the inverse problem in ordinary differential equations have a very high degree of arbitrariness because of the unknown functions involved. To reduce this arbitrariness we need additional conditions. In this chapter we are mainly interested in the planar polynomial differential systems which have a given set of invariant algebraic curves.
Original languageEnglish
Title of host publicationProgress in Mathematics
Pages41-85
Number of pages44
Volume313
ISBN (Electronic)2296-505X
DOIs
Publication statusPublished - 1 Jan 2016

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