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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) ...
On Perturbing Lyapunov Functions
(University of Texas at Arlington, 1974-02)
**Please note that the full text is embargoed** ABSTRACT: It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement ...
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 ...
A Monotone Method for Infinite System of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: Monotone iterative methods have been successfully used to generate improvable two-sided point-wise bounds on solutions of nonlinear boundary value problems for both ...
Cone-Valued Lyapunov Functions
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: It is very well known that employing a single
Lyapunov function and the theory of scalar
differential inequality offers a useful
mechanism to study a ...
Comparison Results for Reaction-Diffusion Equations in a Banach Space
(University of Texas at Arlington, 1979-06)
**Please note that the full text is embargoed** ABSTRACT: Let T be the temperature and n the concentration of a combustible substance. A simple model governing the combustion of the material is given by
[see pdf for ...
Existence of Periodic Solutions of Semilinear Parabolic Equations and the Method of Upper and Lower Solutions
(University of Texas at Arlington, 1982-04)
**Please note that the full text is embargoed** ABSTRACT: The existence of periodic solutions of semilinear parabolic equations has been investigated by several authors [1-10,15-18] by different methods such as the method ...
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 ...