Browsing Department of Mathematics by Title
Now showing items 177-196 of 570
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General Moment Methods for a Class of Nonlinear Models
(University of Texas at ArlingtonDepartment of Mathematics, 1977)**Please note that the full text is embargoed** ABSTRACT: This paper deals with the following problems: (i) the development of a general theory which incorporates several methods as special cases; (ii) the applicability ... -
General Uniqueness Criteria for Ordinary Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1982-02)**Please note that the full text is embargoed** ABSTRACT: This paper generalizes various uniqueness results and offers very general uniqueness criteria which include different types of results considered so far. -
A Generalized Approach To Darboux Transformations For Differential Equations
(Mathematics, 2014-07-14)A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to ... -
Generalized Gradient Methods for Solving Locally Lipschitz Feasibility Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1990-12)**Please note that the full text is embargoed** ABSTRACT: In this paper we study the behavior of a class of iterative algorithms for solving feasibility problems, that is finite systems of inequalities [see pdf for ... -
Generalized Hopf Bifurcation and h-Asymptotic stability
(University of Texas at ArlingtonDepartment of Mathematics, 1979-11)**Please note that the full text is embargoed** ABSTRACT: The prevalent approach to the Hopf bifurcation problem is to prove directly the existence of the bifurcating periodic orbits by using such standard procedures as ... -
Generalized Hopf Bifurcation in Rn and h-Asymptotic Stability
(University of Texas at ArlingtonDepartment of Mathematics, 1979-10)**Please note that the full text is embargoed** -
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation
(Mathematics, 2008-08-08)The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ... -
Generalized Stability of Motion and Vector Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1976-06)**Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed [4, 5, 6, 7] and ... -
Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at ArlingtonDepartment of Mathematics, 1981-02)**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an equilibrium gives rise to the creation of periodic orbits for a one parameter family of differential ... -
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ... -
The Generation of Turbulence in a Compressed Gas
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: A molecular mechanics type formulation is applied to generate turbulence in a compressed gas. Turbulence is defined in terms of the rapid appearance and disappearance ... -
A Geometric Inequality for Convex Polygons
(University of Texas at ArlingtonDepartment of Mathematics, 2001-05)**Please note that the full text is embargoed** ABSTRACT: Consider a regular polygon with vertices P1, P2, , Pn. Assume P is an interior point. Let [see pdf for notation] denote the Euclidean distance from P to Pi, i = ... -
A Geometric Inequality in Pharmacokinetics
(University of Texas at ArlingtonDepartment of Mathematics, 2006-02)**Please note that the full text is embargoed** ABSTRACT: The arithmetic-geometric mean inequality is used to give a lower bound for the average concentration in a two-compartmental model in pharmacokinetics. A geometric ... -
Geometrical Problems in Engineering Mechanics
(University of Texas at ArlingtonDepartment of Mathematics, 2005-11)**Please note that the full text is embargoed** ABSTRACT: Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical ... -
Geometry of Post's Correspondence Problem
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Orthogonality of vectors with integer coordinates in an n-dimensional Euclidean space is used to show that Post's correspondence problem is solvable for words over ... -
A Globally Convergent Numerical Method For Coefficient Inverse Problems
(Mathematics, 2009-09-16)In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ... -
Graphical analysis of evolutionary trade-off in sylvatic Trypanosoma cruzi transmission modes
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2014-07)**Please note that the full text is embargoed** ABSTRACT: The notion of evolutionary trade-off (one attribute increasing at the expense of another) is central to the evolution of traits, well-studied especially in life-history ... -
Greedy and Optimal Paths in a Weighted Graph Without Circuits and Applications to a Class of Optimization Problems on Finite Posets
(University of Texas at ArlingtonDepartment of Mathematics, 1983-05)**Please note that the full text is embargoed** ABSTRACT: In several recent papers B. Korte and L. Lovasz considered a mathematical structure called a simple language on which a greedy algorithm can operate (see [31,J41, ... -
Haplotype-based Statistical Inference For Case-control Genetic Association Studies With Complex Sampling
(Mathematics, 2014-09-17)With the advances in human genome research, it is now believed that the risks of many complex diseases are triggered by the interplay of genetic susceptibilities and environmental exposures. The population-based case-control ... -
Heating Water Vapor in a Square Cavity Using Molecular and Particle Mechanics
(University of Texas at ArlingtonDepartment of Mathematics, 1999-02)**Please note that the full text is embargoed** ABSTRACT: This paper explores the computer simulation of heating water vapor in a square cavity. Both molecular and particle mechanics are applied. A particular parameter ...