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Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [see pdf for notation] the ...
On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools ...
Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones
(University of Texas at Arlington, 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 ...
Vector Lyapunov Functions and Perturbations of Nonlinear Systems
(University of Texas at Arlington, 1975-03)
**Please note that the full text is embargoed** ABSTRACT: Two recent papers [2,3] have combined the techniques of the Lyapunov method and the nonlinear variation of parameters to study the effects of perturbations of ...
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 ...
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 ...