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Now showing items 31-40 of 42
Sobolev Type Differential Equations
(University of Texas at Arlington, 1977-06)
**Please note that the full text is embargoed** ABSTRACT:An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation ...
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 ...
Practical Stability and Lyapunov Functions
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed** ABSTRACT: The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations
may not ...
Existence and Uniqueness of Solutions of Delay Differential Equations on a Closed Subset of a Banach Space
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: In an earlier work [5], sufficient conditions for the existence of solutions in a closed subset F of a Banach space E for the Cauchy problem
(1.1) [see pdf for ...
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 ...
Fixed Point Theorems on Closed Sets Through Abstract Cones
(University of Texas at Arlington, 1976-03)
**Please note that the full text is embargoed** ABSTRACT: Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map
T : D -> X has a fixed point in D and (ii) the construction of ...
Stochastic Differential Inequalities of Ito Type
(University of Texas at Arlington, 1978-06)
**Please note that the full text is embargoed** ABSTRACT: It is well known [3] that the method of differential inequalities plays an important role in the qualitative theory of differential equations. It is therefore natural ...
Competitive-Cooperative Processes and Stability of Diffusion Systems
(University of Texas at Arlington, 1978)
**Please note that the full text is embargoed** ABSTRACT: Very recently, the stability analysis of deterministic [12], random [12,13] competitive-cooperative process has been made in a systematic and unified way. It is ...
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 ...
Parabolic Differential Inequalities in Cones
(University of Texas at Arlington, 1978-03)
**Please note that the full text is embargoed** ABSTRACT: In this paper we investigate the theory of parabolic differential inequalities in arbitrary cones. After discussing the fundamental results concerning parabolic ...