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
Nonlinear control systems of the type: (C) x' + A(t)x = B(t)u, t (ELEM) 0,T , and nonlinear operator equations of the type: (E) Au - (lamda) Tu + (mu) Cu = f are studied. It is shown that the system (C) can be controlled in Banach spaces with responses x(t) from known classes of functions, although the associated Cauchy problem might not be solvable by existing evolution theories.
It is also shown that (E) is solvable in separable Hilbert spaces if the operators A, T and C are, at least, monotone, positive compact and homogeneous compact, respectively. The symbols (lamda),(mu) denote real parameters. Recent results of Kesavan are thus extended. While Kesavan used Galerkin approximations, degree-theoretic arguments are employed in this work.
Various examples are given illustrating the theory.
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
NONLINEAR ANALYSIS AND THE CONTROL OF SPACE WITH PRE-ASSIGNED RESPONSES
Author
MABRY, RICHARD DUVAL
Source
DAI-B 47/01, 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
8607187
ProQuest document ID
303411547
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303411547