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Now showing items 31-36 of 36
Volterra Integral Equations in Abstract Cones and Monotone Iterative Technique
(University of Texas at Arlington, 1983-08)
**Please note that the full text is embargoed** ABSTRACT: The objective of this paper is to develop monotone technique for obtaining extremal solutions of Volterra integral equations in abstract Banach spaces via coupled ...
Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem
(University of Texas at Arlington, 1987)
**Please note that the full text is embargoed** ABSTRACT: Mainly, in this paper we prove that if D is a convex compact of Rn, then the Brouwer fixed point property of D is equivalent to the fact that every Bouligand-Nagums ...
Existence and Regularity Theory for Isoperimetric Variational Problems on Orlicz-Sobolev Spaces: A Review
(University of Texas at Arlington, 1984-10)
**Please note that the full text is embargoed** ABSTRACT: In this review article, we outline and discuss our most recent results regarding the existence and the regularity theory for a class of strongly nonlinear eigenvalue ...
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 ...
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 ...
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 ...