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Elliptic Regularization for a Class of Strongly Nonlinear Degenerate Eigenvalue Problems on Orlicz-Sobolev Spaces. I: The Ode Case
(University of Texas at Arlington, 1985-01)
**Please note that the full text is embargoed** ABSTRACT: This paper is devoted to proving sharp Holder-Lipschitz regularity estimates for the eigensolutione to a class of degenerate Sturm-Liouville eigenvalue problems ...
An Asymptotic Result in Forced Oscillations of Pendulum-Type Equations
(University of Texas at Arlington, 1985-04)
**Please note that the full text is embargoed** ABSTRACT: The forced pendulum-type equation is given by [see pdf for notation] where [see pdf for notation] is continuous and T-periodic and p(t) is[see pdf for notation] ...
Efficient Nonlinear Parameter Estimation for Exponential Type, Least Square Approximation
(University of Texas at Arlington, 1985-03)
**Please note that the full text is embargoed** ABSTRACT: A computer algorithm is described for fitting data sets by least
squares to the functions [see pdf for notation]. A non matrix form of Newton's method is utilized ...
Hydrogenic Formulas for Excited States of the Atoms Through Carbon
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: One of the beautiful consequences of Bohr's simplistic theory for hydrogen was a single formula for the excited states of the atom. Since this formula can be stated ...
Semiclassical Modeling of the H2 Covalent Bond
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: A semiclassical model is developed for the covalent bond of the H2 molecule. The model utilizes a classical analogue of electron pairing and requires an electron ...
Nonexistence of Spatially Localized Free Vibrations for a Class of Nonlinear Wave Equations
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: We prove the nonexistence of free vibrations of arbitrary period with polynomially decreasing profiles for a large class of nonlinear wave equations in one space ...
Analytical and Numerical Studies on the States of Ions and Atoms
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: A speculative model is described which refines and extends the method of Bohr to various atoms and ions which have four or fewer electrons. The results for ground, ...
Rapid Computation of the Energy States of Two-Electron Systems
(University of Texas at Arlington, 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 ...
A New Algorithm for Unstable Three Terms Recurrence Relations
(University of Texas at Arlington, 1985-09)
**Please note that the full text is embargoed** ABSTRACT: A modified version of Miller's and Olver's algorithm based on the "double sweep" method is presented. It is very stable in both directions and automatically controls ...
Rapid Approximation of the Energy States of Three-Electron Systems
(University of Texas at Arlington, 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 ...