Results 181 to 190 of about 121,182 (204)

Degenerate Abelian Integrals

1984
Kovalevskaya’s work on Abelian integrals which reduce to elliptic integrals (1884) is the hardest of her papers to explain to a general audience since it assumes a detailed knowledge of the nineteenth-century work in this area. The subject of Abelian integrals in the nineteenth century was a vast corpus of results, many of which are not generally ...
openaire   +1 more source

A Criterion for Determining the Monotonicity of the Ratio of Two Abelian Integrals [PDF]

Journal of Differential Equations, 1996
A new method to determine the monotonicity of the ratio of two Abelian integrals is given. We find two criterion functions defined directly by the functions which appear in the Abelian integrals.
Li, CZ, Li, Chengzhi, Zhang, ZF, Zhang, Zhi-fen   +3 more
exaly   +2 more sources

New Chebyshev criteria for Abelian integrals

Communications in Nonlinear Science and Numerical Simulation
Guilin Ji, Qing Ge
exaly   +2 more sources

Cauchy elliptic and Abelian integrals

Revue d'histoire des sciences, 1992
RÉSUMÉ. — Cet article étudie comment la théorie des fonctions elliptiques et celle de la variable complexe se rapprochèrent de plus en plus dans les années 1830 et 1840. Alors que la conscience de l'importance de la création d'Abel et de Jacobi grandissait, on en vint à penser qu'il n'était pas satisfaisant de fonder la théorie des fonctions ...
openaire   +3 more sources

Toward the Inversion of Abelian Integrals, II

American Journal of Mathematics, 1979
openaire   +2 more sources

The monotonicity of the ratio of two hyperelliptic Abelian integrals for a class of symmetric potential systems of degree eight

Bulletin Des Sciences Mathematiques, 2022
exaly  

New criteria for the monotonicity of the ratio of two Abelian integrals

Journal of Mathematical Analysis and Applications, 2018
Changjian Liu
exaly  

Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals

Journal of Differential Equations, 2013
Jordi-Lluís Figueras Romero, Jordi Villadelprat, Warwick Tucker   +2 more
exaly  

Linear estimate of the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics

Science in China Series A: Mathematics, 2002
Yulin Zhao, Zhifen Zhang
exaly  

THE ABELIAN INTEGRALS OF A ONE-PARAMETER HAMILTONIAN SYSTEM UNDER CUBIC PERTURBATIONS

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004
Tonghua Zhang, Hong Zang
exaly