Now showing items 449-468 of 570

    • A Quadratic Fredholm Integral Equation and its Solution for Various Kernels 

      Nestell, Merlynd K.; Ghandehari, Mostafa (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 

      Nestell, Merlynd K.; Ghandehari, Mostafa (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 ...
    • Qualitative Behavior Of Dynamical Vector Fields 

      Kirby, Roger Dale (Mathematics, 2007-09-17)
      Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ...
    • Quantitative, Quasimolecular Modelling of the Fall of a Drop Into a Basin of Water 

      Greenspan, Donald; Mahmoudi, Mohsen (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 ...
    • Quantized Enveloping Superalgebra of Type P 

      Ahmed, Saber Murad (2022-05-09)
      We introduce a new quantized enveloping superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ attached to the Lie superalgebra $\mathfrak{p}_n$ of type P. The superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ is a quantization of a Lie ...
    • Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation 

      Salvadori, L.; Bernfeld, Stephen R. (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 

      Greenspan, Donald (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 

      Vatsala, A. S.; Lakshmikantham, V. (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 

      Lakshmikantham, V.; Deimling, K. (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 

      Leela, S.; Lakshmikantham, V.; Oguztoreli, M. N. (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 

      Greenspan, Donald (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 

      Greenspan, Donald (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 

      Greenspan, Donald (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 

      Greenspan, Donald (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 

      Ghandehari, Mostafa (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 time impairments in decision-making networks as a diagnostic marker for traumatic brain injuries and neurological diseases 

      Maia, Pedro; Kutz, J. Nathan (Springer Nature, 2017-04)
      **Please note that the full text is embargoed** ABSTRACT: The presence of diffuse Focal Axonal Swellings (FAS) is a hallmark cellular feature in many neurological diseases and traumatic brain injury. Among other things, ...
    • Reaction-Diffusion Inequalities in Cones 

      Vaughn, Randy; Lakshmikantham, V. (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 

      O'Neill, Edward J.; Ghandehari, Mostafa (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 ...
    • Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension 

      Nafari, Manizheh (Mathematics, 2011-10-11)
      M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ...
    • Relationship Between Stochastic and Differential Models of Compartmental Systems 

      Eisenfeld, Jerome (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 ...