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Periodic Solution for Nonlinear Delay Equation in Higher Order
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: In recent years, the existence and uniqueness of 2n-period solution
for
(1.1) [see pdf for notation]
where x E Rn, and e(t,u,v) is a given function with 2^-period ...
Monotone Method for Nonlinear Boundary Value Problems Arising in Transport Process
(University of Texas at Arlington, 1981-04)
**Please note that the full text is embargoed** ABSTRACT: Recently, monotone iterative methods have been successfully employed to prove existence of multiple solutions and point-wise bounds on solutions
of nonlinear ...
Arbitrary Order, Hamiltonian Conserving Numerical Solutions of Calogero and Toda Systems
(University of Texas at Arlington, 1990)
**Please note that the full text is embargoed** ABSTRACT: For Calogero and Toda dynamical equations two numerical methods of arbitrary high order, conserving the Hamiltonian are developed. The methods consist of modifications ...
Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Using the recent formulation of Gell-Mann and Hartle for approximating quantum dynamical phenomena by means of classical equations, we simulate electron motions in ...
Completely Conservative and Covariant Numerical Methodology for N-Body Problems With Distance-Dependent Potentials
(University of Texas at Arlington, 1992-01)
**Please note that the full text is embargoed** ABSTRACT: We consider a general class of N-body problems for arbitrary, distance-dependent potentials. Completely conservative, covariant numerical methodology is established ...
A New Model of the Molecular Bond
(University of Texas at Arlington, 1991)
**Please note that the full text is embargoed** ABSTRACT: It is assumed, on the basis of recent supercomputer calculations, that electrons attract, rather than repel. The consequences are explored by means of three
dimensional, ...
On Attractive Force Between Electrons in the Same Molecular Orbital
(University of Texas at Arlington, 1991)
**Please note that the full text is embargoed** ABSTRACT: Is is assumed, on the basis of recent studies in particle theory, that two electrons in the same molecular orbital attract, rather than repel, and the consequences ...
On Electron Attraction in the Diatomic Bond
(University of Texas at Arlington, 1991)
**Please note that the full text is embargoed** ABSTRACT: Previously, it was shown that classical simulation of the ground state diatomic hydrogen, deuterium and tritium molecules yielded the correct vibrational frequencies ...