Article
Solvability of differential systems near singular points
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.
Disciplines
Department(s)
Mathematics and Statistics
Degree Name
Ph. D. in Mathematics
Sponsor(s)
National Science Foundation (U.S.)
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 systems
Functional analysis
Domains of holomorphy
Thesis Number
T 3007
Print OCLC #
6011747
Electronic OCLC #
912289659
Link to Catalog Record
http://merlin.lib.umsystem.edu:80/record=b1067293~S5
Citation Information
Leon M. Hall. "Solvability of differential systems near singular points" (1974) Available at: http://works.bepress.com/leon-hall/30/
Research supported by NSF Grant GP-27628