Abstract/Details

PERTURBATIONS OF MONOTONE OPERATORS IN BANACH SPACES

KERR, DAVID WILLIAM.
University of South Florida ProQuest Dissertations Publishing,  1987. 8728323.

Abstract (summary)

Various nonlinear equations of the types: Tx + Cx = f, Tx + Cx + Sx = f are studied. Results are obtained according to which the range of T + C contains a ball around zero. Other results guarantee that R(T + C) $\subset$ R(T + C + S) and int R(T + C) $\subset$ R(T + C + S).

The underlying space is a Banach space and the methods involve applications of the theories of degree and monotonicity.

Results of Browder, Reich, Kartsatos and other authors are thus extended.

Indexing (details)

Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
PERTURBATIONS OF MONOTONE OPERATORS IN BANACH SPACES
Author
KERR, DAVID WILLIAM
Number of pages
73
Degree date
1987
School code
0206
Source
DAI-B 48/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-207-18633-7
University/institution
University of South Florida
University location
United States -- Florida
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
8728323
ProQuest document ID
303632303