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On the Existence of Zeros of Lyapunov-Monotone Operators
(University of Texas at Arlington, 1975-02)
**Please note that the full text is embargoed** ABSTRACT: Consider a nonlinear operator T from a Banach space into itself.
The study of the existence of zeros of T plays an important role in yielding fixed points of ...
On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools ...
On Massera Type Converse Theorem in Terms of Two Different Measures (0)
(University of Texas at Arlington, 1975)
**Please note that the full text is embargoed** ABSTRACT: The importance of uniform asymptotic stability in studying the stability properties of perturbed motions needs no emphasis. The converse theorem of Massera which ...
On the Zeros of Monotone Operators of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-09)
**Please note that the full text is embargoed** ABSTRACT: Recent interest in the Cauchy problem for differential equations in a Banach space [9] has stimulated a similar interest for differential equations of a retarded ...
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 ...
Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result ...
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 ...