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Now showing items 11-18 of 18
The Method of Quasilinearization and Positivity of Solutions in Abstract Cones
(University of Texas at Arlington, 1976-03)
**Please note that the full text is embargoed** ABSTRACT: The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the ...
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...
Quasi-Solutions and Their Role in the Qualitative Theory of Differential Equations
(University of Texas at Arlington, 1979-08)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right hand ...
General Uniqueness Criteria for Ordinary Differential Equations
(University of Texas at Arlington, 1982-02)
**Please note that the full text is embargoed** ABSTRACT: This paper generalizes various uniqueness results and offers very
general uniqueness criteria which include different types of results considered so far.
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 and Comparison Theorems for Differential Equations in Banach Spaces
(University of Texas at Arlington, 1978-07)
**Please note that the full text is embargoed** ABSTRACT: In our recent paper [3] we have studied the existence of maximal and minimal solutions to the IVP in a Banach space [see pdf for notation].
(1) [see pdf for ...
Parabolic Differential Inequalities in Cones
(University of Texas at Arlington, 1978-03)
**Please note that the full text is embargoed** ABSTRACT: In this paper we investigate the theory of parabolic differential inequalities in arbitrary cones. After discussing the fundamental results concerning parabolic ...
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 ...