Results 281 to 288 of about 12,855 (288)

Explicit Differential-Algebraic Equations

2020
Federico Milano, Ioannis Dassios, Muyang Liu, Georgios Tzounas   +3 more
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Analytic Solutions of Algebraic Differential Equations

SIAM Journal on Mathematical Analysis, 1979
For special polynomials $f_2 (w)$, $f_1 (w)$, $f_0 (w)$ in w with analytic coefficients, the equation $f_2 (w)w'^2 + f_1 (w)w' + f_0 (w) = 0$ has appeared many times in the literature. Frequently, the equation is irreducible, $\deg f_2 = 0$, $\deg f_1 \leqq 2$, $\deg f_0 \leqq 4$, and either $4f_2 f_0 - f_1^2 $ has a multiple root or its degree is ...
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Regularizations of Differential‐Algebraic Equations Revisited

Mathematische Nachrichten, 1995
AbstractThe present paper deals with quasilinear differential‐algebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differential‐algebraic equations. Using a geometric theory of singular perturbations convergence of the solutions of the regularized problems towards that ...
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Algebraic Schwarzian differential equations

1996
Necessary conditions for the Newton polygon associated with a general differential equation algebraic in the unknown function and its Schwarzian derivative are presented in the case of existence of an admissible solution (in Nevanlinna sense). Moreover, an admissible solution is shown to satisfy a stronger version of Nevanlinna's defect relation.
Hotzel, Richard, Jank, Gerhard
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Algebraic differential equations

2006
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9. Differential-Algebraic Equations

2002
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Differential Algebraic Equation Solvers

2006
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Polynomial solutions for algebraic differential equations

Lazov, P., Dimitrovskij, D. N.
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