UNT Libraries - 7 Matching Results

Search Results

Results: 1 - 7
open access

Algebraic Numbers and Topologically Equivalent Measures

Description: A set-theoretical point of view to study algebraic numbers has been introduced. We extend a result of Navarro-Bermudez concerning shift invariant measures in the Cantor space which are topologically equivalent to shift invariant measures which correspond to some algebraic integers. It is known that any transcendental numbers and rational numbers in the unit interval are not binomial. We proved that there are algebraic numbers of degree greater than two so that they are binomial numbers. Algebra… more
Date: December 1983
Creator: Huang, Kuoduo
Item Type: Refine your search to only Thesis or Dissertation
open access

Gateaux Differentiable Points of Simple Type

Description: Every continuous convex function defined on a separable Banach space is Gateaux differentiable on a dense G^ subset of the space E [Mazur]. Suppose we are given a sequence (xn) that Is dense in E. Can we always find a Gateaux differentiable point x such that x = z^=^anxn.for some sequence (an) with infinitely many non-zero terms so that Ση∞=1||anxn|| < co ? According to this paper, such points are called of "simple type," and shown to be dense in E. Mazur's theorem follows directly from the res… more
Date: December 1982
Creator: Oh, Seung Jae
Item Type: Refine your search to only Thesis or Dissertation
open access

Nonlinear Boundary Conditions in Sobolev Spaces

Description: The method of dual steepest descent is used to solve ordinary differential equations with nonlinear boundary conditions. A general boundary condition is B(u) = 0 where where B is a continuous functional on the nth order Sobolev space Hn[0.1J. If F:HnCO,l] —• L2[0,1] represents a 2 differential equation, define *(u) = 1/2 IIF < u) li and £(u) = 1/2 l!B(u)ll2. Steepest descent is applied to the functional 2 £ a * + £. Two special cases are considered. If f:lR —• R is C^(2), a Type I boundary con… more
Date: December 1984
Creator: Richardson, Walter Brown
Item Type: Refine your search to only Thesis or Dissertation
open access

The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations

Description: The purpose of this paper is to develop a general method for using Finite Elements in the Steepest Descent Method. The main application is to a partial differential equation for a Transonic Flow Problem. It is also applied to Burger's equation, Laplace's equation and the minimal surface equation. The entire method is tested by computer runs which give satisfactory results. The validity of certain of the procedures used are proved theoretically. The way that the writer handles finite elements is… more
Date: August 1981
Creator: Liaw, Mou-yung Morris
Item Type: Refine your search to only Thesis or Dissertation
Back to Top of Screen