Browsing Technical Papers - DO NOT EDIT by Title
Now showing items 273-292 of 349
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A Quadratic Fredholm Integral Equation and its Solution for Various Kernels
(University of Texas at ArlingtonDepartment of Mathematics, 1999-02)**Please note that the full text is embargoed** ABSTRACT:Consider the Fredholm integral equation [see pdf for notation], a parameter. The solution of this equation is discussed for separable, difference and distribution ... -
A Quadratic Volterra Integral Equation and Its Solution for Various Kernels
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Consider the Volterra integral equation [see pdf for notation], ^ is a parameter Solutions of this equation are discussed for separable and difference kernels using ... -
Quantitative, Quasimolecular Modelling of the Fall of a Drop Into a Basin of Water
(University of Texas at ArlingtonDepartment of Mathematics, 1989)**Please note that the full text is embargoed** ABSTRACT: The fall of a drop into a basin of water is simulated by a molecular aggregate approach. The dynamical equations are large systems of nonlinear, ordinary differential ... -
Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation
(University of Texas at ArlingtonDepartment of Mathematics, 1981-03)**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ... -
Quasi-molecular, Particle Modeling of Crack Generation and Fracture
(University of Texas at ArlingtonDepartment of Mathematics, 1983)**Please note that the full text is embargoed** ABSTRACT: In this paper a new, particle-type approach is developed for the simulation of crack generation and fracture. Rectangular plates are modeled as particle aggregates ... -
Quasi-Solutions and Monotone Method for Systems of Nonlinear Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1980-02)**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for initial and boundary value problems of ordinary differential ... -
Quasi-Solutions and Their Role in the Qualitative Theory of Differential Equations
(University of Texas at Arlington, 1979-08)**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right hand ... -
Quasi-Solutions, Vector Lyapunov Functions and Monotone Method
(University of Texas at ArlingtonDepartment of Mathematics, 1980-02)**Please note that the full text is embargoed** ABSTRACT: It is now well known that the method of vector Lyapunov functions provides an effective tool to investigate the properties of large scale interconnected dynamical ... -
Quasimolecular Simulation of Pendent Water Drops
(University of Texas at ArlingtonDepartment of Mathematics, 1989)**Please note that the full text is embargoed** ABSTRACT: Pendent water drops are simulated by molecular aggregates, called quasimolecules. The quasimolecules interact in accordance with classical molecular type formulas. ... -
Rapid Approximation of the Energy States of Three-Electron Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1985-03)**Please note that the full text is embargoed** ABSTRACT: In this paper, we show how to approximate rapidly the energy states of systems with one electron in the second ring. Using known energy states and average radii of ... -
Rapid Computation of the Energy States of Two-Electron Atoms and Ions with an Explicit Formula for the Excited States of Helium
(University of Texas at ArlingtonDepartment of Mathematics, 1985-05)**Please note that the full text is embargoed** ABSTRACT: A new computational approach is developed for the energy states of two electron atoms and ions. The theory incorporates a classical interpretation of electron ... -
Rapid Computation of the Energy States of Two-Electron Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1985)**Please note that the full text is embargoed** ABSTRACT: A new deterministic approach to modelling atoms and molecules is developed which uses static and dynamic numerical methods. The estimate for the ground state energy ... -
Ray Optics on Surfaces
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Variational techniques are used to find path of light rays on surfaces. Using Fermat's principle of least time the problem is treated as a constraint optimization ... -
Reaction-Diffusion Inequalities in Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1978-02)**Please note that the full text is embargoed** ABSTRACT: Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of such equations occur ... -
The Reflection Property in Normed Linear Planes with Applications to Generalized Conics
(University of Texas at ArlingtonDepartment of Mathematics, 2005-07)**Please note that the full text is embargoed** ABSTRACT: The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to ... -
Relationship Between Stochastic and Differential Models of Compartmental Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1978)**Please note that the full text is embargoed** ABSTRACT: This paper shows that the differential equations model for compartmental systems is consistent with a stochastic description. Consequently, we may employ either a ... -
Remarks on Bellman's Structural Identifiability
(University of Texas at ArlingtonDepartment of Mathematics, 1985-03)**Please note that the full text is embargoed** ABSTRACT: This paper remarks on unidentifiable compartmental systems. Emphasis is placed on detecting properties of the system directly from the compartmental diagram without ... -
Remarks on First and Second Order Periodic Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 1982-05)**Please note that the full text is embargoed** ABSTRACT: We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain the existence ... -
Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1975-06)**Please note that the full text is embargoed** ABSTRACT: The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for ... -
Remarks on Numerical Computations Using the Alternative Method
(University of Texas at ArlingtonDepartment of Mathematics, 1977-12)**Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ...