Copyright information
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Access to the complete full text
This is a short preview of the document. Your library or institution may give you access to the complete full text for this document in ProQuest.
Alternatively, you can purchase a copy of the complete full text for this document directly from ProQuest using the option below:
Abstract/Details
Evolution equations of the type: (UNFORMATTED TABLE FOLLOWS)
(E) x' + A(t)x (CONT) f(t), t (ELEM) 0,T ,
x(0) = x(,o)
(TABLE ENDS)
are studied.
The underlying space is a general Banach lattice. The operators A(t)u are maximal lattice accretive (mL-accretive) in u and satisfy a weak smoothness condition in t. The function f(t) is an L('1)-function.
Recent results of Evans concerning general Banach spaces are extended to the present case. Namely, an evolution operator is generated for the problem (E) via a difference scheme. Functionals involving the Gateaux derivative of the norm play an important role in the development of theory.
Some applications are given in the theory of non-linear partial differential equations.
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
THE GENERATION OF AN EVOLUTION OPERATOR IN A BANACH LATTICE
Author
DANNON, VICTOR CHAIM
Source
DAI-B 46/03, 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
8508845
ProQuest document ID
303325387
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303325387