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Unitary Perfect Polynomials Over Gf(Q), Jacob T. B. Beard Mar 1975

Unitary Perfect Polynomials Over Gf(Q), Jacob T. B. Beard

Mathematics Technical Papers - Archive

For monic polynomials A(x), B(x) e GF[q,x], call B(x) a unitary divisor of A(x) provided (B(x),A(x)/B(x)) = 1 . The polynomial A(x) is called unitary perfect over GF(q) if and only if the sum [see pdf for notation] of the distinct unitary divisors of A(x) equals A(x). Principal results characterize all unitary perfect polynomials over GF(p) which split in GF[p,x].


On The Existence Of Zeros Of Lyapunov-Monotone Operators, S. Leela, V. Lakshmikantham Feb 1975

On The Existence Of Zeros Of Lyapunov-Monotone Operators, S. Leela, V. Lakshmikantham

Mathematics Technical Papers - Archive

Consider a nonlinear operator T from a Banach space into itself. The study of the existence of zeros of T plays an important role in yielding fixed points of nonlinear operators. The operator T has a zero if and only if the initial value problem [see pdf for notation],has a constant solution. If T is a monotone operator then (1.1) has a unique solution [see pdf for notation] defined on [see pdf for notation] and the solution operator [see pdf for notation] is nonexpansive for all [see pdf for notation]. Imposing further assumptions one can show that U(t) must have …


The University Of Texas At Arlington Graduate Catalog 1975-1976, The University Of Texas At Arlington Jan 1975

The University Of Texas At Arlington Graduate Catalog 1975-1976, The University Of Texas At Arlington

UTA Graduate Catalogs

No abstract provided.


Essays On Urban America, Robert. F. Oaks, Bruce I. Ambacher, Richard G. Miller, Richard C. Wade Jan 1975

Essays On Urban America, Robert. F. Oaks, Bruce I. Ambacher, Richard G. Miller, Richard C. Wade

The Walter Prescott Webb Memorial Lectures - Archive

No abstract provided.


On The Existence Of Solutions Of Differential Equations And Zeros Of Operators In K-Banach Spaces, Evin Bronson, R. L. Tennison, A. Richard Mitchell Jan 1975

On The Existence Of Solutions Of Differential Equations And Zeros Of Operators In K-Banach Spaces, Evin Bronson, R. L. Tennison, A. Richard Mitchell

Mathematics Technical Papers - Archive

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 this theory one can prove the existence of zeros of operators [2, 7, 8, 9, 11]. The advantage of using a generalized norm as a candidate in discussing the qualitative theory of differential equations is also known [1]. These thoughts naturally lead to the use of cone-valued norms as a measure since this approach unifies the existing theories as well as offers a more flexible mechanism for applications. In this paper, we …


Fixed Point Theorms Of Operators With Ppf Dependence In Banach Spaces, Stephen R. Bernfeld Jan 1975

Fixed Point Theorms Of Operators With Ppf Dependence In Banach Spaces, Stephen R. Bernfeld

Mathematics Technical Papers - Archive

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] with range in a Banach space E denoted by [see pdf for notation] and the range of the nonlinear operator T is in E. As we shall see delay differential equations form an important example of such a nonlinear operator. We shall obtain analogues of the contraction mapping principle, Krasnoselskii's fixed point theorem as well as a result on the convergence of iterations of quasi-nonexpansive mappings.


Reveille 1975 (Uta Yearbook 1975), The University Of Texas At Arlington Jan 1975

Reveille 1975 (Uta Yearbook 1975), The University Of Texas At Arlington

UTA Yearbooks

Archived yearbook of the University of Texas at Arlington or a preceding institution, digitized and preserved by UTA Libraries Special Collection in 2023


A New Approach To The Method Of Nonlinear Variation Of Parameters, A. Richard Mitchell, M. E. Lord Jan 1975

A New Approach To The Method Of Nonlinear Variation Of Parameters, A. Richard Mitchell, M. E. Lord

Mathematics Technical Papers - Archive

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 the classical variation of constants formula for linear systems, Alekseev [1] obtained a variation of constants formula for nonlinear systems. In [2], Lakshmikantham developed a nonlinear variation of constants formula for a scalar differential equation whose unperturbed term is of variable separable type, under rather mild assumptions. In this paper, we wish to study the general problem under weaker assumptions. Our approach is parallel to the classical one and yields two different formulas, one …


On Massera Type Converse Theorem In Terms Of Two Different Measures (0), V. Lakshmikantham Jan 1975

On Massera Type Converse Theorem In Terms Of Two Different Measures (0), V. Lakshmikantham

Mathematics Technical Papers - Archive

The importance of uniform asymptotic stability in studying the stability properties of perturbed motions needs no emphasis. The converse theorem of Massera which results from uniform asymptotic stability has been widely used in perturbation theory (See [1,2,0]).Very recently [31 this powerful theorem has been fruitfully employed to investigate bifurcation problems and seems to have much future in that direction. The advantage of studying stability properties by means of two different measures, as given by Movehan [41 , is well-known (See also [2,51 ). However, there does not exist a converse theorem of Massera type when uniform asymptotic stability holds in …


Federal General Revenue Sharing And The Finances Of Texas State And Local Government, Texas Advisory Commission On Intergovernmental Relations Jan 1975

Federal General Revenue Sharing And The Finances Of Texas State And Local Government, Texas Advisory Commission On Intergovernmental Relations

Documents from the State of Texas-Archive

In 1973 the Texas Advisory Commission on Intergovernmental Relations undertook an extended study of federal general revenue sharing at the request of the Texas Legislature. This report, which is one product of the study, is intended to provide basic information concerning the distribution of revenue sharing funds and the fiscal impact of revenue sharing on state and local government in Texas. It is hoped that this analysis will be helpful to the Texas Legislature as well as other public officials and interested citizens who want to learn more about the effects of federal revenue sharing.


Study Of The Supply And Demand For Skilled Construction Workers In Texas, 1974-2000 : Final Report For The Special Project Committee Of The State Manpower Services Council, Texas Industrial Commission, Texas State Manpower Services Council. Special Project Committee Jan 1975

Study Of The Supply And Demand For Skilled Construction Workers In Texas, 1974-2000 : Final Report For The Special Project Committee Of The State Manpower Services Council, Texas Industrial Commission, Texas State Manpower Services Council. Special Project Committee

Documents from the State of Texas-Archive

This analysis of the supply and demand of skilled construction workers includes the four following topics: supply mechanisms; supply of skilled laborers; past, current and projected construction; and manpower requirements for such construction. The types of construction are restricted to energy-related (nuclear and fossil-fueled power plants), industrial-related (petroleum and chemical plants) and water-related (dams, reservoirs and waste-water treatment facilities). The supply mechanisms include apprenticeship training programs, vocational-technical programs and on-the-job training. The first of these sources is considered to be broad-based training while the latter two are categorized as narrow-based training. Apprenticeship training programs, though long in duration, qualify trainees …


American Literary Scholarship: An Annual 1973, James Woodress, Walter Harding, Nina Baym, G. R. Thompson, Hershel Parker, Bernice Slote, Hamlin Hill, William T. Stafford, James B. Meriwether, Jackson R. Bryer, J. A. Leo Lemay, M. Thomas Inge, Warren French, James H. Justus, Richard Crowder, Linda W. Wagner, Walter J. Meserve, John T. Flanagan, Michael J. Hoffman, Jean Riviere, Hans Galinsky, Rolando Anzilotti, Akiko Miyake, Rolf Lunden Jan 1975

American Literary Scholarship: An Annual 1973, James Woodress, Walter Harding, Nina Baym, G. R. Thompson, Hershel Parker, Bernice Slote, Hamlin Hill, William T. Stafford, James B. Meriwether, Jackson R. Bryer, J. A. Leo Lemay, M. Thomas Inge, Warren French, James H. Justus, Richard Crowder, Linda W. Wagner, Walter J. Meserve, John T. Flanagan, Michael J. Hoffman, Jean Riviere, Hans Galinsky, Rolando Anzilotti, Akiko Miyake, Rolf Lunden

Covers, Titles, and Tables: The Formations of American Literary Canons in Anthologies - Archive

Contains Title Page, Copyright Page, and Table of Contents


Landscape Architecture: A Profession Designed For Minorities, Gary O. Robinette Jan 1975

Landscape Architecture: A Profession Designed For Minorities, Gary O. Robinette

Landscape Architecture Faculty Publications - Archive

Why should a young black student consider a career in landscape architecture? Professional landscape architects are responsible for the planning and management of land and the design and placement of natural and man-made elements in outdoor areas. Landscape architecture is the art and science of developing land and exterior elements for optimum human use and enjoyment while preserving the essence of the natural environment. In addition to a further description of studying and working in landscape architecture, this also highlights the following African American landscape architects: Clinton Hewitt, Raymond Collins, Elon Mickels, Charles Fountain, Ernest Edwards, Al Wilkins, William Wilson, …


Wren Well Known For Bursts Of Song, Jessie Maye Smith Oct 1974

Wren Well Known For Bursts Of Song, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Observers Busied By Migrant Flights, Jessie Maye Smith Oct 1974

Observers Busied By Migrant Flights, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Matrix Fields Over The Integers Modulo M, Robert M. Mcconnel, Jacob T. B. Beard Jr. Oct 1974

Matrix Fields Over The Integers Modulo M, Robert M. Mcconnel, Jacob T. B. Beard Jr.

Mathematics Technical Papers - Archive

Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual matrix addition and multiplication. The primary purposes of this paper are to characterize and count all subfields of the ring [see pdf for notation] . Related results are given on field extensions in [see pdf for notation] of subfields of [see pdf for notation] . Partial results on subfields of [see pdf for notation] when R is an arbitrary finite commutative ring with identity are also given. Having basic …


Oft-Hunted Pheasant Latecomer To America, Jessie Maye Smith Sep 1974

Oft-Hunted Pheasant Latecomer To America, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Brainy Crows Entitled To Boldly Superior Airs, Jessie Maye Smith Sep 1974

Brainy Crows Entitled To Boldly Superior Airs, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Identifying Warblers Not Easy In Autumn, Jessie Maye Smith Sep 1974

Identifying Warblers Not Easy In Autumn, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Norther Brings Area Influx Of Wild Fowl, Jessie Maye Smith Sep 1974

Norther Brings Area Influx Of Wild Fowl, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


A Polynomial Dual Of Partitions, Jacob T. B. Beard, Ann D. Dorris Sep 1974

A Polynomial Dual Of Partitions, Jacob T. B. Beard, Ann D. Dorris

Mathematics Technical Papers - Archive

Let [see pdf for notation] be a non-negative integral polynomial. The polynomial P(x) is m-graphical, and a multi-graph G a realization of P(x), provided there exists a multi-graph G containing exactly P(1) points where [see pdf for notation] of these points have degree i for [see pdf for notation]. For multi-graphs G,H having polynomials P(x), Q(x) and number-theoretic partitions (degree sequences) [see pdf for notation], the usual product P(x)Q(x) is shown to be the polynomial of the Cartesian product [see pdf for notation], thus inducing a natural product [see pdf for notation] which extends that of juxtaposing integral multiple copies …


On The Method Of Vector Lyapunov Functions, V. Lakshmikantham Sep 1974

On The Method Of Vector Lyapunov Functions, V. Lakshmikantham

Mathematics Technical Papers - Archive

The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general comparison technic leads to a more flexible mechanism to study the qualitative properties of nonlinear differential systems. This method is also effective in discussing interconnected dynamical systems where a construction of a single Lyapunov function is difficult. However, an unpleasant fact in this approach is the requirement of quasimonotone property of the comparison system. An idea to get around this will be indicated which might be useful in applications. Also, an extension of this technic to abstract cones will …


Flight Masters Visit, Prior To Mexico Trip, Jessie Maye Smith Aug 1974

Flight Masters Visit, Prior To Mexico Trip, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


U.S. Pact With Japan Protects 189 Species, Jessie Maye Smith Aug 1974

U.S. Pact With Japan Protects 189 Species, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Birds Join In Salute To Girl Scout Camp, Jessie Maye Smith Aug 1974

Birds Join In Salute To Girl Scout Camp, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Dakota Site To House Bald Eagle Grounds, Jessie Maye Smith Jul 1974

Dakota Site To House Bald Eagle Grounds, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Nature Center Stroll Good For 48 Species, Jessie Maye Smith Jul 1974

Nature Center Stroll Good For 48 Species, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Nature Center Group Lines Up Field Trips, Jessie Maye Smith Jul 1974

Nature Center Group Lines Up Field Trips, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.


Existence And Comparison Results For Differential Equations In A Banach Space, V. Lakshmikantham Jul 1974

Existence And Comparison Results For Differential Equations In A Banach Space, V. Lakshmikantham

Mathematics Technical Papers - Archive

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 that guarantee only existence of solutions and the corresponding results are extensions of the classical Peano's theorem. The other approach is to employ monotonicity (accretive or dissipative) type conditions that assure existence as well as uniqueness of solutions. In fact, this latter method shows that uniqueness conditions imply existence of solutions also [37] and therefore may be regarded as extensions of the classical Picard's theorem.


Differential Equations On Closed Subsets Of A Banach Space, V. Lakshmikantham Jul 1974

Differential Equations On Closed Subsets Of A Banach Space, V. Lakshmikantham

Mathematics Technical Papers - Archive

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 space E. Nonlinear comparison functions and dissipative type conditions in terms of Lyapunovlike functions are employed. A new comparison theorem is established which helps in surmounting the difficulties that arise in this general set-up.