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» Stochastic Differential Equations

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ISSAC
2005
Springer

141views Mathematics» more ISSAC 2005»

Algebraic general solutions of algebraic ordinary differential equations

15 years 4 months ago

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In this paper, we give a necessary and suﬃcient condition for an algebraic ODE to have an algebraic general solution. For an autonomous ﬁrst order ODE, we give an optimized bo...

J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao

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ISSAC
2005
Springer

71views Mathematics» more ISSAC 2005»

Solving second order linear differential equations with Klein's theorem

15 years 4 months ago

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Mark van Hoeij, Jacques-Arthur Weil

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ISSAC
2004
Springer

67views Mathematics» more ISSAC 2004»

Rational general solutions of algebraic ordinary differential equations

15 years 4 months ago

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We give a necessary and suﬃcient condition for an algebraic ODE to have a rational type general solution. For an autonomous ﬁrst order ODE, we give an algorithm to compute a r...

Ruyong Feng, Xiao-Shan Gao

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ISSAC
2004
Springer

88views Mathematics» more ISSAC 2004»

Approximate factorization of multivariate polynomials via differential equations

15 years 4 months ago