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INTEGRABILITY VIA INVARIANT ALGEBRAIC CURVES FOR PLANAR POLYNOMIALDIFFERENTIAL SYSTEMS 被引量:4

INTEGRABILITY VIA INVARIANT ALGEBRAIC CURVES FOR PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS
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摘要 We present an introduction to the Darboux integrability theory of planar complex and real polynomial differential systems containing some improvements to the classical theory. We present an introduction to the Darboux integrability theory of planar complex and real polynomial differential systems containing some improvements to the classical theory.
出处 《Annals of Differential Equations》 2000年第1期5-19,共15页 微分方程年刊(英文版)
关键词 INTEGRABILITY invariant algebraic curves planar polynomial differential systems integrability, invariant algebraic curves, planar polynomial differential systems
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  • 1Maxwell Rosenlicht.On the explicit solvability of certain transcendental equations[J].Publications Mathématiques de l’Institut des Hautes Scientifiques.1969(1) 被引量:1
  • 2M. H. Poincaré.Sur ?intégration algébrique des équations différentielles du premier ordre et du premier degré[J].Rendiconti del Circolo Matematico di Palermo.1897(1) 被引量:1
  • 3C.J.Christopher.Liouvillian first integrals of second order differential equations, Elec[].Journal of Differential Equations.1999 被引量:1

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