Existence of Many Sign Changing Non Radial Solutions for Semilinear Elliptic Problems on Annular Domains

Existence of Many Sign Changing Non Radial Solutions for Semilinear Elliptic Problems on Annular Domains

Date: August 1998
Creator: Finan, Marcel Basil
Description: The aim of this work is the study of the existence and multiplicity of sign changing nonradial solutions to elliptic boundary value problems on annular domains.
Contributing Partner: UNT Libraries
[Photograph of Dr. H. C. Parrish]

[Photograph of Dr. H. C. Parrish]

Date: unknown
Creator: unknown
Description: Photograph of Dr. H. C. Parrish of the North Texas Math Department. He sits at a desk, and looks toward the camera. A shelf of cubbies can be seen in the background.
Contributing Partner: UNT Libraries Special Collections
[Photograph of Dr. H. C. Parrish]

[Photograph of Dr. H. C. Parrish]

Date: unknown
Creator: unknown
Description: Photograph of Dr. H. C. Parrish pf the North Texas Math Department. He stands and talks on a rotary telephone.
Contributing Partner: UNT Libraries Special Collections
[Photograph of Dr. H. C. Parrish]

[Photograph of Dr. H. C. Parrish]

Date: unknown
Creator: unknown
Description: Photograph of Dr. H. C. Parrish of the North Texas Math Department. He wears a suit and tie, and sits on a stool in front of a pegboard.
Contributing Partner: UNT Libraries Special Collections
Two Axiomatic Definitions of the Natural Numbers

Two Axiomatic Definitions of the Natural Numbers

Date: June 1970
Creator: Rhoads, Lana Sue
Description: The purpose of this thesis is to present an axiomatic foundation for the development of the natural numbers from two points of view. It makes no claim at originality other than at the point of organization and presentation of previously developed works.
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Some Fundamental Properties of Valuations Defined on a Field

Some Fundamental Properties of Valuations Defined on a Field

Date: January 1969
Creator: Doerr, James C.
Description: The purpose of this thesis is to develop some properties of a special class of functions called valuations. The study begins with and examination of the properties of valuations defined on an arbitrary field, F, and later, consideration is given to valuations defined on the field of rational numbers. The concept of a pseud-valuation is introduced and an investigation is made of the properties of pseudo-valuations.
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A Genesis for Compact Convex Sets

A Genesis for Compact Convex Sets

Date: May 1969
Creator: Ferguson, Ronald D.
Description: This paper was written in response to the following question: what conditions are sufficient to guarantee that if a compact subset A of a topological linear space L^3 is not convex, then for every point x belonging to the complement of A relative to the convex hull of A there exists a line segment yz such that x belongs to yz and y belongs to A and z belongs to A? Restated in the terminology of this paper the question bay be given as follow: what conditions may be imposed upon a compact subset A of L^3 to insure that A is braced?
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Some Fundamental Properties of Categories

Some Fundamental Properties of Categories

Date: June 1968
Creator: Gardner, Harold L.
Description: This paper establishes a basis for abelian categories, then gives the statement and proof of two equivalent definitions of an abelian category, the development of the basic theory of such categories, and the proof of some theorems involving this basic theory.
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Some Generalizations in the Theory of Summable Series

Some Generalizations in the Theory of Summable Series

Date: August 1950
Creator: Penner, Jimmie G.
Description: It will be our purpose to study a generalized definition of sum of a series and the restrictions which must be placed upon it in order that it shall satisfy the generally accepted requirements of any generalized definition of sum of a series. We shall then proceed to investigate the possibilities of further generalizing this process.
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Separation Properties

Separation Properties

Date: December 1970
Creator: Garvin, Billy Ray
Description: The problem with which this paper is concerned is that of investigating a class of topological properties commonly called separation properties. A topological space which satisfies only the definition may be very limited in open sets. By use of the separation properties, specific families of open sets can be guaranteed.
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Carbon Contamination Measurements in Single Silicon Crystals

Carbon Contamination Measurements in Single Silicon Crystals

Date: December 1970
Creator: Logsdon, Lawrence E.
Description: The intent of this investigation was to directly measure the amount of carbon contamination in a single silicon crystal and, in so doing, develop a mathematical procedure that would be applicable to other contaminants in other substances.
Contributing Partner: UNT Libraries
Some Properties of Ideals in a Commutative Ring

Some Properties of Ideals in a Commutative Ring

Date: August 1973
Creator: Hicks, Gary B.
Description: This thesis exhibits a collection of proofs of theorems on ideals in a commutative ring with and without a unity. Theorems treated involve properties of ideals under certain operations (sum, product, quotient, intersection, and union); properties of homomorphic mappings of ideals; contraction and extension theorems concerning ideals and quotient rings of domains with respect to multiplicative systems; properties of maximal, minimal, prime, semi-prime, and primary ideals; properties of radicals of ideals with relations to quotient rings, semi-prime, and primary ideals.
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Regular Semigroups

Regular Semigroups

Date: August 1967
Creator: Penn, Howard L.
Description: This thesis describes semigroups and the properties of both regular and inverse semigroups.
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On Lane's Integral

On Lane's Integral

Date: August 1971
Creator: Hill, William James
Description: The problem and purpose of this paper is to develop Lane's Integral in two-space, and then to expand these concepts into three-space and n-space. Lane's Integral can be used by both mathematicians and statisticians as one of the tools in the calculation of certain probabilities and expectations. The method of presentation is straightforward with the basic concepts of integration theory and Stieltjes Integral assumed.
Contributing Partner: UNT Libraries
The Fundamental Group of Certain Toplogical Spaces

The Fundamental Group of Certain Toplogical Spaces

Date: December 1971
Creator: Hopkins, Billy L.
Description: The problem confronted in this thesis is that of determining direct calculations of the fundamental group of certain topological spaces.
Contributing Partner: UNT Libraries
Inequalities and Set Function Integrals

Inequalities and Set Function Integrals

Date: December 1971
Creator: Milligan, Kenneth Wayne
Description: This thesis investigates some inequalities and some relationships between function properties and integral properties.
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Some Properties of Valuation Rings

Some Properties of Valuation Rings

Date: August 1971
Creator: Miller, Linda C.
Description: This thesis investigates some of the properties of valuation rings. It is assumed that the reader is familiar with the basic properties of commutative rings and ideals in rings. Unless otherwise stated, all rings considered in this thesis are commutative rings with a unity.
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Semitopological Groups

Semitopological Groups

Date: December 1971
Creator: Scroggs, Jack David
Description: This thesis is a study of semitopological groups, a similar but weaker notion than that of topological groups. It is shown that all topological groups are semitopological groups but that the converse is not true. This thesis investigates some of the conditions under which semitopological groups are, in fact, topological groups. It is assumed that the reader is familiar with basic group theory and topology.
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Uniform Locally Compact Spaces

Uniform Locally Compact Spaces

Date: December 1971
Creator: Page, Perman Hutson
Description: The purpose of this paper is to develop some properties of uniformly locally compact spaces. The terminology and symbology used are the same as those used in General Topology, by J. L. Kelley.
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Linear First-Order Differential-Difference Equations of Retarded Type with Constant Coefficients

Linear First-Order Differential-Difference Equations of Retarded Type with Constant Coefficients

Date: August 1967
Creator: Pyeatt, Cynthia R.
Description: This paper is concerned with equations in which all derivatives are ordinary rather than partial derivatives. The customary meanings of differential order and difference order of an equation are observed.
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Extensions of Modules

Extensions of Modules

Date: August 1967
Creator: Chen, Paulina Tsui-Chu
Description: This thesis discusses groups, modules, the module of homomorphisms, and extension of modules.
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Some Properties of the Fibonacci Numbers

Some Properties of the Fibonacci Numbers

Date: June 1967
Creator: Willey, Wm. Riley
Description: This thesis is presented as an introduction to the Fibonacci sequence of integers. It is hoped that this thesis will create in the reader more interest in this type of sequence and especially the Fibonacci sequence. It seems that this particular area of mathematics is often ignored in the classroom or touched upon far too briefly to stimulate curiosity and develop further interest in this field.
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A Study of Functions on Metric Spaces

A Study of Functions on Metric Spaces

Date: January 1968
Creator: Brice, Richard S.
Description: This thesis describes various forms of metric spaces and establishes some of the properties of functions defined on metric spaces. No attempt is made in this paper to examine a particular type of function in detail. Instead, some of properties of several kinds of functions will be observed as the functions are defined on various forms of metric spaces such as connected spaces, compact spaces, complete spaces, etc.
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Ideals in Semigroups

Ideals in Semigroups

Date: January 1965
Creator: Rodgers, Samuel A.
Description: This thesis investigates ideals in semigroups.
Contributing Partner: UNT Libraries
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