Holomorphic Solutions of Functional Differential Systems Near a Singular Point

Author

Leon M. Hall, Missouri University of Science and Technology
L. J. Grimm, Missouri University of Science and TechnologyFollow

Abstract

Functional analysis techniques are used to prove a theorem, analogous to the Harris-Sibuya-Weinberg theorem for ordinary differential equations, which yields as corollaries a number of existence theorems for holomorphic solutions of linear functional differential systems of the form (Z^D)*y'(z) = A(z)y(z) + B(z)y(alphaz) + C(z)y'(alphaz) in the neighborhood of the singularity at Z = 0.

Recommended Citation

L. M. Hall and L. J. Grimm, "Holomorphic Solutions of Functional Differential Systems Near a Singular Point," Proceedings of the American Mathematical Society, American Mathematical Society, Jan 1974.

The definitive version is available at https://doi.org/10.1090/S0002-9939-1974-0328262-4

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0002-9939

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1974 American Mathematical Society, All rights reserved.

Publication Date

01 Jan 1974