Abstract/Details

FUNCTIONAL EVOLUTION EQUATIONS INVOLVING T-ACCRETIVE AND T-LIPSCHITZ OPERATORS IN BANACH LATTICES

CRAIG, JESSICA MARGUERITE. 
 University of South Florida ProQuest Dissertations Publishing,  1984. 8427956.

Abstract (summary)

Evolution equations of the type: (E) x' + A(t)x = G(t,x(,t)), t (ELEM) {0,T}, x(t) = (phi)(t), t (ELEM) {-r,0} are investigated.

The underlying space X is a Banach Lattice with a uniformly convex dual space X*. The operator A(t) is the sum of a demicontinuous generalized T-accretive operator and an MT-accretive operator for every t (ELEM) {0,T}. For each u (ELEM) D(A(t)) (TBOND) D, A(t)u satisfies a smoothness condition with respect to t. The function G(t,(psi)) is a global Lipschitzian.

Recent results of Calvert concerning the autonomous unperturbed case are extended.

Two of the main results of the thesis are new even in the accretive case and extend recent associated results of the Kartsatos and Parrott.

Applications are given at the end of the theses.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
FUNCTIONAL EVOLUTION EQUATIONS INVOLVING T-ACCRETIVE AND T-LIPSCHITZ OPERATORS IN BANACH LATTICES
Author
CRAIG, JESSICA MARGUERITE
Number of pages
102
Degree date
1984
School code
0206
Source
DAI-B 45/09, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-205-46543-4
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
8427956
ProQuest document ID
303323345
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303323345