Browsing by Author "Eisenfeld, Jerome"

Now showing items 1-20 of 37

    • Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage 

      Mow, Van C.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1977-01)
      **Please note that the full text is embargoed** ABSTRACT: There has been considerable effort put forth to analyse degenerative Joint diseases in terms of the principles of mechanics and hydrodynamics [8]. This effort has ...

    • Block Diagonalization and Eigenvalues 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1975-03)
      **Please note that the full text is embargoed** ABSTRACT: Let A denote an Algebra with an identity element. Consider an [see pdf for notation] matrix [see pdf for notation] with a partitioning [see pdf for notation] where ...

    • Comparison Principle and Non Linear Contract in Abstract Spaces 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1973-10)
      **Please note that the full text is embargoed** ABSTRACT: The theory of differential and integral equations exploits comparison and iterative techniques which do not fall under the Contractive Mapping Principle. For they ...

    • Differential Inequalities and Flow-Invariance via Linear Functionals 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1977-05)
      **Please note that the full text is embargoed** ABSTRACT: This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the ...

    • A Direct Computational Method for Estimating the Parameters of a Nonlinear Model 

      Eisenfeld, Jerome; Cheng, Stephen W. (University of Texas at ArlingtonDepartment of Mathematics, 1978)
      **Please note that the full text is embargoed** ABSTRACT: We consider the system identification problem which deals with determining information about the unknown constant matrices A, B, and C or the linear dynamical system: ...

    • Estimating Transition Probabilities from Aggregate Samples Augmented by Haphazard Recaptures 

      Hawkins, D. L.; Eisenfeld, Jerome; Han, C. P. (University of Texas at ArlingtonDepartment of Mathematics, 1995)
      **Please note that the full text is embargoed** ABSTRACT: Transition probabilities provide a convenient summary of changes in a categorical trait over time in a population. The difficulties of estimating such probabilities ...

    • Existence MD Estimates for Solutions of Nonlinear Equations Near a Branch Point 

      Eisenfeld, Jerome; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1973-12)
      **Please note that the full text is embargoed** ABSTRACT: Consider the equation (1.1) [see pdf for notation] on a Hilbert space H. Here n is a scalar and [see pdf for notation] is a linear Fredholm operator. That is: (a) ...

    • Extension of Compartmental Parameters to Blocks of Compartments with Application to Lipoprotein Kinetics 

      Grundy, S. M.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1983-02)
      **Please note that the full text is embargoed** ABSTRACT: Suppose that the compartments of a compartmental model are separated into blocks (sets of compartments). In general, the blocks can not be regarded as compartments ...

    • Fixed Point Theorems on Closed Sets Through Abstract Cones 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1976-03)
      **Please note that the full text is embargoed** ABSTRACT: Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map T : D -> X has a fixed point in D and (ii) the construction of ...

    • Fixed Point Theorems Through Abstract Cones 

      Eisenfeld, Jerome; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-03)
      **Please note that the full text is embargoed** ABSTRACT: A well-known theorem of Banach states that if T is a mapping on a complete metric space [see pdf for notation] such that for some number [see pdf for notation], the ...

    • General Moment Methods for a Class of Nonlinear Models 

      Cheng, Stephen W.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1977)
      **Please note that the full text is embargoed** ABSTRACT: This paper deals with the following problems: (i) the development of a general theory which incorporates several methods as special cases; (ii) the applicability ...

    • Identification of Linear Time-Invariant Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1978-04)
      **Please note that the full text is embargoed** ABSTRACT: A new method of identification for linear time-invariant systems with one input is presented. The method requires the estimation of weighted integrals over a finite ...

    • 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 ...

    • 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 ...

    • 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, ...

    • On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1973-10)
      **Please note that the full text is embargoed** ABSTRACT: Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument (1) [see pdf for notation] on the interval I: to [see ...

    • On a Measure of Nonconvexity and Applications 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)
      **Please note that the full text is embargoed** ABSTRACT: The measure of noncompactness which was introduced by Kuratowski [8] (in 1930) has now become an important tool in nonlinear analysis (although its value in that ...

    • On Approach to Equilibrium in Nonlinear Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1981-02)
      **Please note that the full text is embargoed** ABSTRACT: A closed compartmental system is a set of nonnegative interdependent functions, [see pdf for notation] such that their sum is constant. The functions can represent ...

    • On Identifiability of Impulse-Response in Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1979-04)
      **Please note that the full text is embargoed** ABSTRACT: Structural identifiability in compartmental systems deals with the map from impulse-response parameters to model parameters. If the data is analyzed in terms of ...

    • On Mean Residence Times in Compartments 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1979-05)
      **Please note that the full text is embargoed** ABSTRACT: This paper is concerned with a set of parameters which measure the mean time a random particle resides in individual compartments in response to a given load ...