Doctoral Dissertations

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 zDy'(z) = A(z)y(z) + B(z)y(αz) + C(z)y'(αz) in the neighborhood of the singularity at z = 0"--Abstract, page 2.

Advisor(s)

Grimm, L. J.

Committee Member(s)

Plummer, O. R.
Trimble, S. Y.
Pagano, Sylvester J., 1924-2006
Penico, Anthony J., 1923-2011
Rigler, A. K.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Sponsor(s)

National Science Foundation (U.S.)

Comments

Research supported by NSF Grant GP-27628

Publisher

University of Missouri--Rolla

Publication Date

1974

Journal article titles appearing in thesis/dissertation

  • Holomorphic solutions of functional differential systems near singular points
  • Holomorphic solutions of singular functional differential equations

Pagination

iv, 26 pages

Note about bibliography

Includes bibliographical references.

Rights

© 1974 Leon Morris Hall, Jr., All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Exterior differential systemsFunctional analysisDomains of holomorphy

Thesis Number

T 3007

Print OCLC #

6011747

Electronic OCLC #

912289659

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Included in

Mathematics Commons

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