Rational Approximation to Solutions of Algebraic Differential Equations [PDF]
, 1959 E. R. Kolchin
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Index Concepts for Differential-Algebraic Equations
, 2015 We discuss several of different index concepts for differential-algebraic equation (differentiation, strangeness, tractability, geometric, perturbation, and structural index) and analyze their relationship.
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Differential/Algebraic Equations As Stiff Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1992 This paper deals with the relation between differential/algebraic equations (DAEs) and certain stiff ODEs and their respective discretizations by implicit Runge–Kutta methods. For that purpose for any DAE a singular perturbed ODE is constructed such that the DAE is its reduced problem and the solution of the ODE converges in some sense to that of the ...
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Associated algebraic and partial differential equations [PDF]
, 1936 J. A. Greenwood
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Irreducible Systems of Algebraic Differential Equations [PDF]
, 1939 Walter Strodt
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Extensions of the Ground Field in the Theory of Algebraic Differential Equations [PDF]
, 1953 Kôtaro Okugawa
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On Elliptic and Hyper-Elliptic Systems of Differential Equations and their Rational and Integral Algebraic Integrals, with a Discussion of the Periodicity of Elliptic and Hyper-Elliptic Functions [PDF]
, 1894 W. R. Westropp Roberts
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On a method for obtaining the differential equation to an Algebraical Curve [PDF]
, 1884 Chrystal
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Algebraic equations for coefficients of linear differential systems with $n=2, \sigma=2$ [PDF]
, 1927 J. Hronec
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Algebraic Theory of Differential Equations
, 2008 Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform ...
Malcolm MacCallum +1 more
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