Title

Holomorphic Solutions of Functional Differential Systems Near a Singular Point

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.

Department(s)

Mathematics and Statistics

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1974 American Mathematical Society, All rights reserved.


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