Some new results on Darboux integrable differential systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Ferragut, Antoni

关键词: Planar polynomial differential system;    Darboux first integral;    Inverse integrating factor;    Remarkable value;    Characteristic polynomial;   

DOI  :  10.1016/j.jmaa.2012.04.075

来源: Elsevier

【 摘 要 】

We deal with complex planar differential systems having a Darboux first integral H. We present a definition of remarkable values and remarkable curves associated to H and characterize the existence of a polynomial inverse integrating factor for these systems. Furthermore, we study the relation between the characteristic polynomial F and the inverse integrating factors of the system and show the importance of the numerator of the exponential factor of H in the construction of F. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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