Abel differential equations admitting a certain first integral

作者：Gine Jaime^*; Santallusia Xavier

来源：Journal of Mathematical Analysis and Applications, 2010, 370(1): 187-199.

DOI：10.1016/j.jmaa.2010.04.046

• First integral
• Abel equation
• Chini equation
• Classical Galois theory

In this work algebro-geometric conditions to have a certain first integral for an Abel differential equation are given. These conditions establish a bridge with classical Galois theory because we transform the differential problem of finding a first integral for an Abel equation into an algebraic problem.

• 出版日期2010-10-1