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Existence of Solutions of Boundary Value Problems for Nonlinear Second Order Systems in a Banach Space
(University of Texas at Arlington, 1977-03)
**Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the existence of solutions of boundary value problems (BVP, for short) for nonlinear second order ordinary differential equations of ...
On the Existence of Weak Solutions of Differential Equations in Nonreflexive Banach Spaces
(University of Texas at Arlington, 1977-03)
**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for differential equations in a Banach space relative to the strong topology has attracted much attention in recent years [2,4,5,7]. ...
A New Approach to the Method of Nonlinear Variation of Parameters
(University of Texas at Arlington, 1975-01)
**Please note that the full text is embargoed** ABSTRACT: As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending ...
Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [see pdf for notation] the ...
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 ...
Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones
(University of Texas at Arlington, 1974-04)
**Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ...
On the Existence of Solutions of Differential Equations and Zeros of Operators in K-Banach Spaces
(University of Texas at Arlington, 1975)
**Please note that the full text is embargoed** ABSTRACT: The theory of existence of solutions of differential equations in a Banach space employing norm as a measure is sufficiently well known [5, 6, 8, 9]. Also utilizing ...
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 ...
The Method of Quasilinearization and Positivity of Solutions in Abstract Cones
(University of Texas at Arlington, 1976-03)
**Please note that the full text is embargoed** ABSTRACT: The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the ...