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Now showing items 1-5 of 5

#### On the Construction of a Norm Associated with the Measure of Noncompactness

(University of Texas at Arlington, 1976-02)

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 noncompactness corresponds to the norm in B(E). The results ...

#### Remarks on Numerical Computations Using the Alternative Method

(University of Texas at Arlington, 1977-12)

Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided numerical approximations of solutions of two point nonlinear ...

#### On the Existence of Solutions of Differential Equations in a Banach Space

(University of Texas at Arlington, 1974-03)

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 [1,2,4,9,14] to guarantee existence of solutions only and the ...

#### Fixed Point Theorems Through Abstract Cones

(University of Texas at Arlington, 1974-03)

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 inequality (1.1) [see pdf for notation] holds, then T has ...

#### Block Diagonalization and Eigenvalues

(University of Texas at Arlington, 1975-03)

Let A denote an Algebra with an identity element. Consider an [see pdf for notation] matrix [see pdf for notation] with a partitioning [see pdf for notation] where E and H have respective orders [see pdf for notation] and ...