An improvement to Darboux integrability theorem for systems having a center-Reference-Cited by-同舟云学术

An improvement to Darboux integrability theorem for systems having a center

Published:1999-11 Issue:8 Volume:12 Page:85-89
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Chavarriga J.,Giacomini H.,Giné J.

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference14 articles.

1. Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges);Darboux;Bull. Sci. Math.,1878

2. Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges);Darboux;Bull. Sci. Math.,1878

3. Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré (Mélanges);Darboux;Bull. Sci. Math.,1878

4. Mathematische Problem (lecture);Hilbert,1900

5. L. Cairó, M.R. Feix and J. Llibre, Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems, Proceed. of the Royal London Society, (submitted).

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Invariants of polynomial vector fields;Journal of Differential Equations;2023-08

2. Analytic nilpotent centers as limits of nondegenerate centers revisited;Journal of Mathematical Analysis and Applications;2016-09

3. On the linearization of isochronous centre of a modified Emden equation with linear external forcing;Communications in Nonlinear Science and Numerical Simulation;2014-04

4. A Survey on the Inverse Integrating Factor;Qualitative Theory of Dynamical Systems;2010-07-30

5. On some open problems in planar differential systems and Hilbert’s 16th problem;Chaos, Solitons & Fractals;2007-03