Center Problem for the Group of Rectangular Paths

Abstract

We solve the center problem for ODEs \frac{dv}{dx}=\sum_{i=1}^{\infty}a_{i}(x) v^{i+1} such that the first integrals of vectors of their coefficients determine rectangular paths in finite dimensional complex vector spaces.

8 pages

Cited by in corpus (2)

• Composition Conditions for Classes of Analytic Functions
• Moments Finiteness Problem and Center Problem for Ordinary Differential Equations