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Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones
(University of Texas at Arlington, 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 ...
On a Measure of Nonconvexity and Applications
(University of Texas at Arlington, 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 ...
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 ...
Sample Solutions of Stochastic Ordinary Differential Equations
(University of Texas at Arlington, 1984-11)
**Please note that the full text is embargoed** ABSTRACT: Motivated by the stochastic differential equation[see pdf for notation] in [see pdf for notation] we prove a measurable dependence on parameters theorem
for ODEs ...
Stability and Asymptotic Equivalence of Perturbations of Nonlinear Systems of Differential Equations
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of ...
Stability and Generalized Hopf Bifurcation Through a Reduction Principle
(University of Texas at Arlington, 1980-10)
**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 ...
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...
Conservative Motion of Discrete, Hexahedral Gyroscope
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Gyroscopic motion is simulated by applying a molecular dynamics formulation to a rigid hexahedron. The conservative dynamical differential equations are solved ...
Continuous Deformation of a Developable Surface
(University of Texas at Arlington, 1996-02)
**Please note that the full text is embargoed** ABSTRACT: A developable surface can be developed from a piece of planar region, or vice versa. Several methods are known to construct an isometric mapping between the developable ...
Conservative Motion of Discrete, Tetrahedral Top on a Smooth Horizontal Plane
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The contact point of the top with the XY plane ...