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Existence of Solutions of Boundary Value Problems for Nonlinear Second Order Systems in a Banach Space
(University of Texas at Arlington, 1977-03)
**Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the existence of solutions of boundary value problems (BVP, for short) for nonlinear second order ordinary differential equations of ...
On the Existence of Weak Solutions of Differential Equations in Nonreflexive Banach Spaces
(University of Texas at Arlington, 1977-03)
**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for differential equations in a Banach space relative to the strong topology has attracted much attention in recent years [2,4,5,7]. ...
Remarks on Numerical Computations Using the Alternative Method
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ...
Fixed Point Theorem for Non-Expansive Mappings on Banach Spaces with Unifformly Normal Structure
(University of Texas at Arlington, 1977-11)
**Please note that the full text is embargoed** ABSTRACT: In [1] Kirk proved that if D is a bounded, closed, and convex subset of a reflexive Banach space that has normal structure, then every non-expansive mapping of D ...
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 ...
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 ...
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 ...