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.
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
PERTURBATIONS OF MONOTONE OPERATORS IN BANACH SPACES
Author
KERR, DAVID WILLIAM
Source
DAI-B 48/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
University/institution
University of South Florida
University location
United States -- Florida
Source type
Dissertation or Thesis
Document type
Dissertation/Thesis
Dissertation/thesis number
8728323
ProQuest document ID
303632303
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303632303