Bounding the degree of solutions of differential equations. (November 2018)

• Record Type: Journal Article
• Authors: Coutinho, S.C.
• Is Part Of: Journal of symbolic computation. Volume 89(2018)
• Page Start: 9
• Page End: 25
• Publication Date: 2018-11
• Subjects: primary 37F75 34M45 -- secondary 13P10 32S65 11D04; Holomorphic foliation -- Invariant curve -- Algebraic solution -- Darboux first integral -- Poincaré problem; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2017.11.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We present an algorithmic strategy to compute an upper bound for the degree of the algebraic solutions of non-degenerate polynomial differential equations in dimension two.