Linear differential equations and Hurwitz series

• Autorzy: William F. Keigher , V. Ravi Srinivasan
• Języki publikacji: EN

Abstrakty

EN

In this article, we study solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the solutions. Moreover, we give explicit formulas that compute the group of differential automorphisms. We require neither that the underlying field be algebraically closed nor that the characteristic of the field be zero.

Kategorie tematyczne

• 12H05: Differential algebra
• 12H20: Abstract differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 205-213

Daty

wydano

2011

Twórcy

autor

William F. Keigher

• Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102, U.S.A.

autor

V. Ravi Srinivasan

• Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102, U.S.A.

Identyfikatory

DOI

10.4064/bc94-0-13