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On Existence of Extremal Solutions of Differential Equations in Banach Spaces
(University of Texas at Arlington, 1978-06)
**Please note that the full text is embargoed** ABSTRACT: Let X be a real Banach space, [see pdf for notation] a cone, [see pdf for notation] and [see pdf for notation] continuous. We look for conditions on X, K and f such ...
A Technique in Stability Theory of Delay-Differential Equations
(University of Texas at Arlington, 1978-04)
**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay-differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ...
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the
monotone iterative ...
Existence and Monotone Method for Periodic Solutions of First Order Differential Equations
(University of Texas at Arlington, 1981-09)
**Please note that the full text is embargoed** ABSTRACT: An attempt was made recently in [3] to combine fruitfully the two basic techniques, namely the method of upper and lower solutions and the Lyapunov-Schmitt
method ...
On the Theory of Terminal Value Problems for Ordinary Differential Equations
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: It is well known [2] that the comparison principle for initial value problems of ordinary differential equations is a very useful tool in the study of
qualitative ...