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A Monotone Method for Infinite System of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: Monotone iterative methods have been successfully used to generate improvable two-sided point-wise bounds on solutions of nonlinear boundary value problems for both ...
Cone-Valued Lyapunov Functions
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: It is very well known that employing a single
Lyapunov function and the theory of scalar
differential inequality offers a useful
mechanism to study a ...
Mathematical Modeling in Medicine
(University of Texas at Arlington, 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 the Construction of a Norm Associated with the Measure of Noncompactness
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ...
The Extendability and Uniqueness of Solutions of Ordinary Differential Equations
(University of Texas at Arlington, 1976)
**Please note that the full text is embargoed** ABSTRACT: In a recent paper [1] the author obtained results on the extendability of solutions of perturbed differential equations. The question of the extendability of solutions ...
Optimum Structural Probability Bounds for the Right-tail of the Paretian Law
(University of Texas at Arlington, 1976-06)
**Please note that the full text is embargoed** ABSTRACT: The two-parameter Pareto density function [see PDF for equation] is widely used in applied statistics. For example, in reliability theory (1.1) represents the ...
The Method of Quasilinearization and Positivity of Solutions in Abstract Cones
(University of Texas at Arlington, 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 ...
Generalized Stability of Motion and Vector Lyapunov Functions
(University of Texas at Arlington, 1976-06)
**Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in
terms of vector Lyapunov functions and the
general comparison method is well-developed
[4, 5, 6, 7] and ...
Minimal and Maximal Solutions of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the construction
of the minimal and the maximal solutions of
the nonlinear boundary value problem [see PDF
for equation]
under ...
A Nonlinear Variation of Constants Method for Integro-Differential and Integral Equations
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is well known that a very important
technique in obtaining the asymptotic
behavior of solutions of linear and nonlinear
ordinary differential equations ...