Browsing Technical Papers - DO NOT EDIT by Title

Now showing items 133-152 of 349

    • The Laplace Transform of the Linear Car-following Model 

      Ardekani, Siamak; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 2008)
      **Please note that the full text is embargoed** ABSTRACT: Laplace transform is used to analyze the differential-difference equation for the linear car-following model. The car-following model has been developed to describe ...

    • The Least Square Values and the Shapley Value for Cooperative TU Games 

      Dragan, Irinel C. (University of Texas at ArlingtonDepartment of Mathematics, 2003-05)
      **Please note that the full text is embargoed** ABSTRACT: The Least Square Values (briefly LS-values), represent a family of values for cooperative transferable utility games, introduced by L. Ruiz. F. Valenciano and ...

    • Linear Algebraic Computational Procedures for System Identification Problems 

      Eisenfeld, Jerome; Soni, B. (University of Texas at ArlingtonDepartment of Mathematics, 1977-05)
      **Please note that the full text is embargoed** ABSTRACT: An algorithm is presented for identifying exponentials sums [see pdf for notation] from discrete data [see pdf for notation] The algorithm determines the number ...

    • Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces 

      Lakshmikantham, V.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1981-05)
      **Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the monotone iterative ...

    • Local Atomic Temperature 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1989-10)
      **Please note that the full text is embargoed** ABSTRACT: For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept is defined and studied in this paper. From ...

    • Local Molecular Temperature 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1989-11)
      **Please note that the full text is embargoed** ABSTRACT: For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept, defined and studied previously for atoms, ...

    • Lyapunov-like Vector Functions Using Pointwise Degenerate Systems as Comparison Functions 

      Asner, Bernard A., Jr.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-04)
      **Please note that the full text is embargoed** ABSTRACT: The use of Lyapunov-like vector functions is recognized as an important tool for estimating the behavior of a dynamical system. In applications, one needs to determine ...

    • Mathematical Analysis of Stress Relaxation in Articular Cartilage During Compression 

      Eisenfeld, Jerome; Lipshitz, Harold; Mow, Van C. (University of Texas at ArlingtonDepartment of Mathematics, 1977-02)
      **Please note that the full text is embargoed** ABSTRACT: Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage ...

    • A Mathematical Curiosity in Estimating the Radius of the First Ring Electrons of an Arbitary Atom 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1984)
      **Please note that the full text is embargoed** ABSTRACT: In this note, we explore an elementary method for approximating the radii and speeds of first ring electrons in atoms. The approach uses only a single algebraic ...

    • Mathematical Modeling in Medicine 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1976-09)
      **Please note that the full text is embargoed** ABSTRACT: Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, ...

    • Mathematical Models of Porous Flow 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1978-10)
      **Please note that the full text is embargoed** ABSTRACT: In this paper a new, viable mathematical approach to the analysis of porous flow is developed. Liquids and solids are modeled as sets of particles which interact ...

    • Matrix Fields Over the Integers Modulo m 

      McConnel, Robert M.; Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 1974-10)
      **Please note that the full text is embargoed** ABSTRACT: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual ...

    • Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones 

      Mitchell, Roger W.; Mitchell, A. Richard; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)
      **Please note that the full text is embargoed** ABSTRACT: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result ...

    • Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones 

      Lakshmikantham, V.; Mitchell, Roger W.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1974-04)
      **Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ...

    • Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1992-10)
      **Please note that the full text is embargoed** ABSTRACT: For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, ...

    • A Method for Approximating the Solution Set of a System of Convex Inequalities by Polytopes 

      Censor, Yair; Butnariu, Dan (University of Texas at ArlingtonDepartment of Mathematics, 1990-12)
      **Please note that the full text is embargoed** ABSTRACT: In this note a method for computing approximations by polytopes of the solution set [see pdf for notation] of a system of convex inequalities is presented. It ...

    • The Method of Nonlinear Variation of Constants for Difference Equations 

      Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1977-06)
      **Please note that the full text is embargoed** ABSTRACT: A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation of constants formula. ...

    • Method of Quasi-Upper and Lower Solutions in Abstract Cones 

      Lakshmikantham, V.; Vatsala, A. S.; Leela, S. (University of Texas at ArlingtonDepartment of Mathematics, 1981-05)
      **Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such that ^K C K for every ^ ≥ 0 and ...

    • The Method of Quasilinearization and Positivity of Solutions in Abstract Cones 

      Lakshmikantham, V.; Sety, Dolores D.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1976-03)
      **Please note that the full text is embargoed** ABSTRACT: The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the ...

    • The Method of Upper, Lower Solutions and Volterra Integral Equations 

      Ladde, G. S.; Pachpatte, B. G.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1980-12)
      **Please note that the full text is embargoed** ABSTRACT: In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When ...