Loitering at the hilltop on exterior domains (open access)

Loitering at the hilltop on exterior domains

In this article, the author proves the existence of an infinite number of radial solutions of Δu+f(u)=0 on the exterior of the ball of radius R>0 centered at the origin and f is odd with f<0 on (0,β), f>0 on (β,δ), and f≡0 for u>δ. The primitive F(u)=∫u0f(t)dt has a "hilltop" at u=δ which allows one to use the shooting method and ODE techniques to prove the existence of solutions.
Date: November 23, 2015
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Generalized second-order parametric optimality conditions in semiinfinitediscrete minmax fractional programming and second order (F,β,φ,ρ,θ,m)-univexity (open access)

Generalized second-order parametric optimality conditions in semiinfinitediscrete minmax fractional programming and second order (F,β,φ,ρ,θ,m)-univexity

Article discusses establishing numerous sets of generalized second order paramertic sufficient optimality conditions for a semiinfinite discrete minmax fractional programming problem, while the results on semiinfinite discrete minmax fractional programming problem achieved based on some partitioning schemes under various types of generalized second order univexity assumptions.
Date: February 28, 2016
Creator: Verma, Ram U. & Zalmai, G. J.
Object Type: Article
System: The UNT Digital Library
Curvature Bundle Morphisms for Hypersurface Generalized Dirac Operators (open access)

Curvature Bundle Morphisms for Hypersurface Generalized Dirac Operators

This article establishes uses a Gauss-like relationship to examine how the curvature bundle morphisms relate.
Date: 2016
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry (open access)

On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry

This article examines how in view of the fundamental theorem of algebra and basic Galois theory solving nonlinear systems of polynomial equations exactly means in general reducing them to one single equation in one variable.
Date: 2011
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Methods to evaluate rare variants gene-age interaction for triglycerides (open access)

Methods to evaluate rare variants gene-age interaction for triglycerides

This article discusses the development of two statistical methods to test the gene environment interaction effect of rare variants.
Date: September 17, 2018
Creator: Huayang Gao, Tony; Zhang, Jianjun; Medina Miguelangel, Diaz & Wang, Xuexia
Object Type: Article
System: The UNT Digital Library
Methods and results from the genome-wide association group at GAW20 (open access)

Methods and results from the genome-wide association group at GAW20

This article reports on promising statistical approaches and findings of the members of the Genome-wide Association Study group applied on real and simulated data which encompass the current topics of epigenetic and pharmacogenomics.
Date: September 17, 2018
Creator: Wang, Xuexia; Boekstegers, Felix & Brinster, Regina
Object Type: Article
System: The UNT Digital Library
Reflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation (open access)

Reflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation

This article considers solutions to the wave equation in 3+1 spacetime dimensions whose data is compactly supported at some initial time.
Date: November 28, 1995
Creator: Navarro, Jaime & Warchall, Henry A.
Object Type: Article
System: The UNT Digital Library
Spreading of Charged Micro-Droplets (open access)

Spreading of Charged Micro-Droplets

This article studies the spreading of a charged microdroplet using the lubrication approximation.
Date: September 16, 2013
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains (open access)

Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains

This article proves the existence of an infinite number of radial solutions of Δ(u) + f(u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where f is odd with f < 0 on (0, β), f > 0 on (β,∞) where β > 0.
Date: May 3, 2016
Creator: Joshi, Janak & Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
The Spreading of Charged Micro-Droplets (open access)

The Spreading of Charged Micro-Droplets

This article considers the analysis of the Betelu-Fontelos model of the spreading of a charged microdroplet on a at dielectric surface whose spreading is driven by surface tension and electrostatic repulsion.
Date: January 20, 2015
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains (open access)

Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains

This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date: August 22, 2016
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
The Riemann hypothesis illuminated by the Newton flow of ζ (open access)

The Riemann hypothesis illuminated by the Newton flow of ζ

This article analyzes the Newton flow of the Riemann zeta function and rederives in an elementary way the Riemann-von Mangoldt estimate of the number of non-trivial zeros below a given imaginary part.
Date: October 1, 2015
Creator: Neuberger, J. W.; Feiler, C.; Maier, H. & Schleich, W. P.
Object Type: Article
System: The UNT Digital Library
Lie Generators for Semigroups of Transformations on a Polish Space (open access)

Lie Generators for Semigroups of Transformations on a Polish Space

This article characterizes the infinitesimal generators of semigroups of linear transformations.
Date: August 27, 1993
Creator: Dorroh, J. R. & Neuberger, J. W.
Object Type: Article
System: The UNT Digital Library
Newton’s Method in the Context of Gradients (open access)

Newton’s Method in the Context of Gradients

This article gives a common theoretical treatment for gradient and Newton type methods for general classes of problems.
Date: September 24, 2007
Creator: Karátson, János & Neuberger, J. W.
Object Type: Article
System: The UNT Digital Library
Numerical Calculation of Singularities for Ginzburg-Landau Functionals (open access)

Numerical Calculation of Singularities for Ginzburg-Landau Functionals

This article gives results of numerical calculations of asymptotic behavior of critical points of a Ginzburg-Landau functional.
Date: June 18, 1997
Creator: Neuberger, J. W. & Renka, R. J.
Object Type: Article
System: The UNT Digital Library
Complex Continued Fractions With Restricted Entries (open access)

Complex Continued Fractions With Restricted Entries

This article studies special infinite iterated function systems derived from complex continued fraction expansions with restricted entries.
Date: October 19, 1993
Creator: Hanus, Pawel & Urbański, Mariusz
Object Type: Article
System: The UNT Digital Library
Epilepsy Detection Using EEG with Different Time Frames (open access)

Epilepsy Detection Using EEG with Different Time Frames

This article analyzes and classifies EEG signals using wavelets decomposition and support vector machines (SVM).
Date: 2016
Creator: Liu, Jianguo
Object Type: Article
System: The UNT Digital Library
Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds (open access)

Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds

This article identifies a class of magnetic Schrödinger operators on Kähler manifolds which exhibit pure point spectrum.
Date: May 17, 2013
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Determinant Identities and the Geometry of Lines and Circles (open access)

Determinant Identities and the Geometry of Lines and Circles

This article focuses on the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Date: October 20, 2015
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Polynomial Harmonic Decompositions (open access)

Polynomial Harmonic Decompositions

Article on polynomial harmonic decompositions. For real polynomials in two indeterminates a classical polynomial harmonic decomposition is extended from square-norm divisors to conic ones.
Date: January 2017
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Almost Holomorphic Poincaré Series Corresponding to Products of Harmonic Siegel–Maass Forms (open access)

Almost Holomorphic Poincaré Series Corresponding to Products of Harmonic Siegel–Maass Forms

This article investigates Poincaré series, particularly the study of Siegel–Poincaré series of degree 2 attached to products of terms of Fourier series of harmonic Siegel–Maass forms and holomorphic Siegel modular forms
Date: April 15, 2016
Creator: Bringmann, Kathrin; Richter, Olav K. & Westerholt-Raum, Martin
Object Type: Article
System: The UNT Digital Library
DP1 and Completely Continuous Operators (open access)

DP1 and Completely Continuous Operators

This article demonstrates a relationship between the Dunford-Pettis property and the DP1 property with a similar relationship for vector-valued continuous function spaces.
Date: February 11, 2003
Creator: Bator, Elizabeth M. & Slavens, Dawn R.
Object Type: Article
System: The UNT Digital Library
Subsequences and Category (open access)

Subsequences and Category

This article discusses divergences of a sequence of functions and its set of subsequences.
Date: July 21, 1998
Creator: Kallman, Robert R.
Object Type: Article
System: The UNT Digital Library
Extremality and dynamically defined measures, part 1: Diophantine properties of quasi-decaying measures (open access)

Extremality and dynamically defined measures, part 1: Diophantine properties of quasi-decaying measures

This article presents a new method of proving the Diophantine extremality of various dynamically defined measures, vastly expanding the class of measures known to be extremal.
Date: April 7, 2017
Creator: Das, Tushar; Fishman, Lior; Simmons, David & Urbański, Mariusz
Object Type: Article
System: The UNT Digital Library