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First integrals and Darboux polynomials of homogeneous linear differential systems
1995This paper studies rational and Liouvillian first integrals of homogeneous linear differential systems Y′=AY over a differential field k. Following [26], our strategy to compute them is to compute the Darboux polynomials associated with the system.
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Application of first integral method to fractional partial differential equations
, 2014Mostafa Eslami +4 more
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Existence theorems for polynomial first integrals
Proceedings of the 1991 international symposium on Symbolic and algebraic computation, 1991openaire +1 more source
On the polynomial first integrals of certain second‐order differential equations
, 1982F. Gascón +2 more
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A class of polynomial planar vector fields with polynomial first integral
Journal of Mathematical Analysis and Applications, 2015Antoni Ferragut, C Galindo
exaly
Polynomial Volterra integral equations of the first kind and the Lambert function
, 2013A. Apartsin
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