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 ...
Practical Stability and Lyapunov Functions
(University of Texas at Arlington, 1979-10)
The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz  in which they point out that stability investigations may not assure "practical stability" and vice versa. For example an ...
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1981-05)
One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the monotone iterative method, which yields monotone sequences that converge to ...
Monotone Methods for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1977-12)
Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for both ordinary and partial differential equations. Keller  and Sattinger , extending the chord method, considered ...
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
In this paper we continue our recent development  of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. In particular we consider the analogues of recent results ...