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Existence and Comparison Results for Nonlinear Volterra Integral Equations in a Banach Space
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: In this paper we prove the existence of solutions to nonlinear Volterra integral equations in a Banach Space. A comparison theorem and the existence of maximal ...
Monotone Methods for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for both ordinary and partial differential equations. Keller ...
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 ...
Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces
(University of Texas at Arlington, 1977-01)
**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for ordinary differential equations
in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed ...