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07/11/2023
Rational Solutions of Parametric First-Order Algebraic Differential Equations
In this paper we give a procedure for finding rational solutions of a gi...
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03/29/2023
On real and observable realizations of input-output equations
Given a single algebraic input-output equation, we present a method for ...
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10/11/2021
Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
In this paper we study systems of autonomous algebraic ODEs in several d...
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03/05/2021
Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs – A MAPLE Package
There exist several methods for computing exact solutions of algebraic d...
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02/07/2020
The Fundamental Theorem of Tropical Partial Differential Algebraic Geometry
Tropical Differential Algebraic Geometry considers difficult or even int...
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03/26/2018
On Formal Power Series Solutions of Algebraic Ordinary Differential Equations
We propose a computational method to determine when a solution modulo a ...
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03/26/2018
Formal Power Series Solutions of Algebraic Ordinary Differential Equations
In this paper, we consider nonlinear algebraic ordinary differential equ...
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03/13/2018
Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places
Given a first-order autonomous algebraic ordinary differential equation,...
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03/13/2018