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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 ...
Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation].
Consider the initial value problem (1.1) [see pdf for notation],
where [see pdf for notation]. ...
Fixed Point Theorems for Expanding Maps
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: Suppose (X,d) is a metric space, h > 0 and T: X -> X. We shall use the notation T E E(h) to mean [see pdf for notation] for each x,y E X. If h > 1, then T will be ...
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**
Monotone Method for Equations Describing Transport Phenomena in a Banach Space
(University of Texas at Arlington, 1981-06)
**Please note that the full text is embargoed** ABSTRACT: Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach
space has been recently considered ...