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Now showing items 11-20 of 22
Existence and Comparison Results for a Class of Volterra Integral Equations of Sobolev Type
(University of Texas at Arlington, 1978-09)
**Please note that the full text is embargoed** ABSTRACT: Recently [2] a class of new differential equations called Sobolev type differential equations was introduced and Picard type existence theorem for such equations ...
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 ...
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 ...
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 ...
Quasi-Solutions and Their Role in the Qualitative Theory of Differential Equations
(University of Texas at Arlington, 1979-08)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right hand ...
Comparison, Existence, Uniqueness and Successive Approximations for the Dirichlet Problem of Elliptic Equations
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed**
Monotone Methods for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for both ordinary and partial differential equations. Keller ...
On the Existence and Uniqueness of Periodic Solutions of Second Order Ordinary Differential Equations
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed**
Existence and Comparison Theorems for Differential Equations in Banach Spaces
(University of Texas at Arlington, 1978-07)
**Please note that the full text is embargoed** ABSTRACT: In our recent paper [3] we have studied the existence of maximal and minimal solutions to the IVP in a Banach space [see pdf for notation].
(1) [see pdf for ...