About the cover: The Fine–Petrović Polygons and the Newton–Puiseux Method for Algebraic Ordinary Differential Equations
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Publication:5220391
DOI10.1090/bull/1684zbMath1443.34002OpenAlexW3006320427MaRDI QIDQ5220391
Vladimir Dragović, Irina Goryuchkina
Publication date: 20 March 2020
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/bull/1684
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) History of mathematics in the 19th century (01A55) History of ordinary differential equations (34-03)
Related Items (3)
Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics ⋮ Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis ⋮ On existence and uniqueness of formal power series solutions of algebraic ordinary differential equations
Cites Work
- An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
- Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics
- Asymptotic expansions of solutions of the sixth Painlevé equation
- A Note on Orbits of Subgroups of the Permutation Groups
- ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS
- Asymptotic behaviour and expansions of solutions of an ordinary differential equation
- On a property of differential equations integrable using meromorphic double-periodic functions
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