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On the Existence of Zeros of Lyapunov-Monotone Operators
(University of Texas at Arlington, 1975-02)
**Please note that the full text is embargoed** ABSTRACT: Consider a nonlinear operator T from a Banach space into itself.
The study of the existence of zeros of T plays an important role in yielding fixed points of ...
A Technic in Perturbation Theory
(University of Texas at Arlington, 1974-07)
**Please note that the full text is embargoed** ABSTRACT: A study of the effect of perturbations of differential equations depends on the method employed and on the nature of perturbations. One of the most used technics ...
Stability of Differential Systems with Impulsive Perturbations in Terms of Two Measures
(University of Texas at Arlington, 1977-01)
**Please note that the full text is embargoed** ABSTRACT: The study of differential systems of the form
(1.1) [see pdf for notation]
where [see pdf for notation] denotes the distributional derivative of [see pdf for ...
On Perturbing Lyapunov Functions
(University of Texas at Arlington, 1974-02)
**Please note that the full text is embargoed** ABSTRACT: It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement ...
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 ...
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 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 ...
On the Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed**
Quasi-Solutions, Vector Lyapunov Functions and Monotone Method
(University of Texas at Arlington, 1980-02)
**Please note that the full text is embargoed** ABSTRACT: It is now well known that the method of vector Lyapunov functions provides an effective tool to investigate the properties of large scale
interconnected dynamical ...
Existence and Uniqueness of Solutions of Delay Differential Equations on a Closed Subset of a Banach Space
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: In an earlier work [5], sufficient conditions for the existence of solutions in a closed subset F of a Banach space E for the Cauchy problem
(1.1) [see pdf for ...