Browsing Technical Papers - DO NOT EDIT by Subject "Banach spaces"
Now showing items 1-20 of 36
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Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Block Diagonalization and Eigenvalues
(University of Texas at ArlingtonDepartment of Mathematics, 1975-03)**Please note that the full text is embargoed** ABSTRACT: Let A denote an Algebra with an identity element. Consider an [see pdf for notation] matrix [see pdf for notation] with a partitioning [see pdf for notation] where ... -
Comparison Results for Reaction-Diffusion Equations in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Differential Equations on Closed Subsets of a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1974-07)**Please note that the full text is embargoed** ABSTRACT: The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach ... -
Existence and Comparison Results for Differential Equations in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1974-07)**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for differential equations in a Banach space has taken two different directions. One direction is to find compactness type conditions ... -
Existence and Comparison Results for Nonlinear Volterra Integral Equations in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1977-05)**Please note that the full text is embargoed** ABSTRACT: In this paper we prove the existence of solutions to nonlinear Volterra integral equations in a Banach Space. A comparison theorem and the existence of maximal ... -
Existence and Regularity Theory for Isoperimetric Variational Problems on Orlicz-Sobolev Spaces: A Review
(University of Texas at ArlingtonDepartment of Mathematics, 1984-10)**Please note that the full text is embargoed** ABSTRACT: In this review article, we outline and discuss our most recent results regarding the existence and the regularity theory for a class of strongly nonlinear eigenvalue ... -
Existence and Uniqueness of Solutions of Delay Differential Equations on a Closed Subset of a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces
(University of Texas at ArlingtonDepartment of Mathematics, 1977-01)**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for ordinary differential equations in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed ... -
Existence of Solutions of Boundary Value Problems for Nonlinear Second Order Systems in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Fixed Point Theorem for Non-Expansive Mappings on Banach Spaces with Unifformly Normal Structure
(University of Texas at ArlingtonDepartment of Mathematics, 1977-11)**Please note that the full text is embargoed** ABSTRACT: In [1] Kirk proved that if D is a bounded, closed, and convex subset of a reflexive Banach space that has normal structure, then every non-expansive mapping of D ... -
Fixed Point Theorems for Expanding Maps
(University of Texas at ArlingtonDepartment of Mathematics, 1981-03)**Please note that the full text is embargoed** ABSTRACT: Suppose (X,d) is a metric space, h > 0 and T: X -> X. We shall use the notation T E E(h) to mean [see pdf for notation] for each x,y E X. If h > 1, then T will be ... -
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at ArlingtonDepartment of Mathematics, 1980-07)**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ... -
Fixed Point Theorems Through Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Fixed Point Theorms of Operators with PPF Dependence in Banach Spaces
(University of Texas at ArlingtonDepartment of Mathematics, 1975)**Please note that the full text is embargoed** ABSTRACT: In this paper we develop a theory of fixed points of a nonlinear operator, T, whose domain is the Banach space of continuous functions defined on an interval [a,b] ... -
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1981-05)**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such that ^K C K for every ^ ≥ 0 and ... -
The Method of Quasilinearization and Positivity of Solutions in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Monotone Iterative Technique for Delay Differantial Equations in Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1982-04)**Please note that the full text is embargoed** ABSTRACT: Monotone iterative technique is developed for delay differential equations in a Banach space by utilizing the method of upper and lower solutions. -
Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1981-02)**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation]. Consider the initial value problem (1.1) [see pdf for notation], where [see pdf for notation]. ... -
Monotone Method for Equations Describing Transport Phenomena in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1981-06)**Please note that the full text is embargoed** ABSTRACT: Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach space has been recently considered ...