Existence and convergence of Puiseux series solutions for autonomous first order differential equations-Reference-Cited by-同舟云学术

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Existence and convergence of Puiseux series solutions for autonomous first order differential equations

Published:2022-01 Issue: Volume:108 Page:137-151
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Cano José,Falkensteiner Sebastian,Sendra J. Rafael

Funder

Ministerio de Economía y Competitividad

Austrian Science Fund

European Regional Development Fund

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference18 articles.

1. Puiseux Solutions of Singular Differential Equations;Aroca,2000

2. Algebraic general solutions of algebraic ordinary differential equations;Aroca,2005

3. Métodos algebraicos en ecuaciones diferenciales ordinarias en el campo complejo;Aroca Bisquert,2000

4. Recherches sur les proprietés des équations différentielles;Briot;J. Éc. Polytech.,1856

5. An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms;Cano;Ann. Inst. Fourier,1993

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1. A Study of Movable Singularities in Non-Algebraic First-Order Autonomous Ordinary Differential Equations;Mathematics;2024-07-02

2. The asymptotic solutions of two-term linear fractional differential equations via Laplace transform;Mathematics and Computers in Simulation;2023-09

3. Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables;Journal of Symbolic Computation;2023-01

4. Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems;Electronic Journal of Qualitative Theory of Differential Equations;2023

5. The algebro-geometric method: Solving algebraic differential equations by parametrizations;Bulletin of the American Mathematical Society;2022-08-30

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