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Differential Inequalities and Flow-Invariance via Linear Functionals
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the ...
Comparison Principle and Non Linear Contract in Abstract Spaces
(University of Texas at Arlington, 1973-10)
**Please note that the full text is embargoed** ABSTRACT: The theory of differential and integral equations exploits comparison and iterative techniques which do not fall under the Contractive Mapping Principle. For they ...
On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument
(University of Texas at Arlington, 1973-10)
**Please note that the full text is embargoed** ABSTRACT: Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument
(1) [see pdf for notation]
on the interval I: to [see ...
Fixed Point Theorems Through Abstract Cones
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: A well-known theorem of Banach states that if T is a mapping on a complete metric space [see pdf for notation] such that for some number [see pdf for notation], the ...
On the Existence of Solutions of Differential Equations in a Banach Space
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions ...
Existence MD Estimates for Solutions of Nonlinear Equations Near a Branch Point
(University of Texas at Arlington, 1973-12)
**Please note that the full text is embargoed** ABSTRACT: Consider the equation (1.1) [see pdf for notation]
on a Hilbert space H. Here n is a scalar and [see pdf for notation] is a linear Fredholm operator. That is:
(a) ...
Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for ...
On the Construction of a Norm Associated with the Measure of Noncompactness
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ...
On a Measure of Nonconvexity and Applications
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: The measure of noncompactness which was introduced by Kuratowski [8] (in 1930) has now become an important tool in nonlinear analysis (although its value in that ...
Fixed Point Theorems on Closed Sets Through Abstract Cones
(University of Texas at Arlington, 1976-03)
**Please note that the full text is embargoed** ABSTRACT: Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map
T : D -> X has a fixed point in D and (ii) the construction of ...