Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network™

Open Access. Powered by Scholars. Published by Universities.®

University of Texas at Arlington

Discipline
Keyword
Publication Year
Publication
Publication Type
File Type

Articles 14341 - 14370 of 15842

Full-Text Articles in Entire DC Network

Minimal And Maximal Solutions Of Nonlinear Boundary Value Problems, Jagdish Chandra, Stephen R. Bernfeld Aug 1976

Minimal And Maximal Solutions Of Nonlinear Boundary Value Problems, Jagdish Chandra, Stephen R. Bernfeld

Mathematics Technical Papers - Archive

This paper is concerned with the construction of the minimal and the maximal solutions of the nonlinear boundary value problem [see PDF for equation] under tether mild assumptions of f. in particular, no assumption of monotonicity is made on [see PDF for equation] either in u or [see PDF for equation].

Go to article

Archaeology On State Highway 16: The Crystal Rivers Site, John Esten Keller Aug 1976

Archaeology On State Highway 16: The Crystal Rivers Site, John Esten Keller

Documents from the Texas State Department of Highways-Archive

The Crystal Rivers Site (41 BX 195) was recorded during a survey of State Highway 16 in May 1973. The site consists of an extensive occupation area with its prominent feature being a large, but scattered, burned rock midden. The site is located on the east bank of a western tributary of Government Canyon Creek approximately two miles southeast of the small community of San Geronimo in Bexar County. Due to the extensive accumulation of cultural material within the right-of-way of the proposed widening of State Highway 16, further investigation was recommended. Thoughout July of 1973, under Antiquities Permit No. …

Go to article

Archaeology On State Highway 16: No-Name Creek Site: A Terrace Site Of The Middle And Late Archaic Period In Gillespie County, Texas, Joe T. Denton Aug 1976

Archaeology On State Highway 16: No-Name Creek Site: A Terrace Site Of The Middle And Late Archaic Period In Gillespie County, Texas, Joe T. Denton

Documents from the Texas State Department of Highways-Archive

No-Name Creek is a multicomponent site in a nonstratified context north of the town of Fredericksburg in Gillespie County, Texas. This site, where excavated, is purely Archaic and is of primary importance due to the unique artifact assemblage. The point types extant at the site suggest an evolution of one type to another.

Go to article

Generalized Stability Of Motion And Vector Lyapunov Functions, Deborah A. Pace, Roger W. Mitchell Jun 1976

Generalized Stability Of Motion And Vector Lyapunov Functions, Deborah A. Pace, Roger W. Mitchell

Mathematics Technical Papers - Archive

The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed [4, 5, 6, 7] and effectively applied for large scale dynamical systems [1, 3]. However, the problem of constructing vector Lyapunov functions and developing appropriate perturbation theory has seen very little progress. Perhaps one of the reasons for this situation is that the stability definitions by means of the standard norm are not flexible enough for such a venture.

Go to article

Optimum Structural Probability Bounds For The Right-Tail Of The Paretian Law, Danny D. Dyer Jun 1976

Optimum Structural Probability Bounds For The Right-Tail Of The Paretian Law, Danny D. Dyer

Mathematics Technical Papers - Archive

The two-parameter Pareto density function [see PDF for equation] is widely used in applied statistics. For example, in reliability theory (1.1) represents the failure-time distribution of a "work-hardened" component whose.hazard function is inversely proportional to time. Because of its long right-tail, (1.1) is often a probability model for certain socioeconomic phenomena (e.g., distribution of city population sizes, distribution of personal incomes which exceed tax-exempt levels). One of the more recent characterizations of the Pareto distribution is due to Revankar, et. at. [15]. They show that within the population of individuals that under-report their income for income tax purposes, the average …

Go to article

Fixed Point Theorems On Closed Sets Through Abstract Cones, V. Lakshmikantham, Jerome Eisenfeld Mar 1976

Fixed Point Theorems On Closed Sets Through Abstract Cones, V. Lakshmikantham, Jerome Eisenfeld

Mathematics Technical Papers - Archive

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 an iterative sequence whose limit is a fixed point in D. If X is a Banach space then a classical approach is to set G = I - T and use a numerical search method to minimize ||GX|| in D. Another approach, which does not require a Banach space structure, was recently introduced by Caristi and Kirk ([1],[2]). They prove that a metrically inward …

Go to article

The Method Of Quasilinearization And Positivity Of Solutions In Abstract Cones, V. Lakshmikantham, Dolores D. Sety, A. Richard Mitchell Mar 1976

The Method Of Quasilinearization And Positivity Of Solutions In Abstract Cones, V. Lakshmikantham, Dolores D. Sety, A. Richard Mitchell

Mathematics Technical Papers - Archive

The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the method can be found in (Ref. 3). This method has been very useful in providing an analytic approach to obtain approximate solutions of non-linear equations, or more specifically, to derive upper and lower bounds for the solutions.

Go to article

Survey Courses, Indian Literature, And The Way To Rainy Mountain, Kenneth M. Roemer Feb 1976

Survey Courses, Indian Literature, And The Way To Rainy Mountain, Kenneth M. Roemer

English Faculty Publications - Archive

No abstract provided.

Go to article

A Nonlinear Variation Of Constants Method For Integro-Differential And Integral Equations, M. E. Lord, Stephen R. Bernfeld Feb 1976

A Nonlinear Variation Of Constants Method For Integro-Differential And Integral Equations, M. E. Lord, Stephen R. Bernfeld

Mathematics Technical Papers - Archive

It is well known that a very important technique in obtaining the asymptotic behavior of solutions of linear and nonlinear ordinary differential equations under perturbations is through the use of the variation of constants formula (see [1] and [14]). Miller [16] used a well known representation formula for perturbed linear Volterra integral equations in terms of the resolvent which has been successfully used in recent years to analyze stability behavior of solutions (see, for example, [12] and [17] and references therein). In addition, Bownds and Cushing [4] obtained another variation of constants formula for linear integral equations utilizing a fundamental …

Go to article

On The Construction Of A Norm Associated With The Measure Of Noncompactness, Stephen R. Bernfeld, V. Lakshmikantham, Jerome Eisenfeld Feb 1976

On The Construction Of A Norm Associated With The Measure Of Noncompactness, Stephen R. Bernfeld, V. Lakshmikantham, Jerome Eisenfeld

Mathematics Technical Papers - Archive

It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E). The results are applied to ordinary differential equations theory.

Go to article

Essays On Walter Prescott Webb, Joe B. Frantz, W. Turrentine Jackson, W. Eugene Hollon, George Wolfskill, Walter Jr. Rundell Jan 1976

Essays On Walter Prescott Webb, Joe B. Frantz, W. Turrentine Jackson, W. Eugene Hollon, George Wolfskill, Walter Jr. Rundell

The Walter Prescott Webb Memorial Lectures - Archive

No abstract provided.

Go to article

Solving Texas Housing Problems : An Intergovernmental Approach, Texas Advisory Commission On Intergovernmental Relations Jan 1976

Solving Texas Housing Problems : An Intergovernmental Approach, Texas Advisory Commission On Intergovernmental Relations

Documents from the State of Texas-Archive

The development and maintenance of adequate shelter for Texas families and individuals has depended historically upon public policies and programs at the federal and local levels. Texas state government has played a passive role while other states in recent years have taken a more active part in trying to assure decent housing for their residents. The state's own 1971 survey of housing conditions in Texas indicated the inadequacy of federal and local government programs at that time to meet housing needs. The Texas Research League study that prompted this survey, furthermore, foresaw the likelihood that housing conditions would worsen unless …

Go to article

The Extendability And Uniqueness Of Solutions Of Ordinary Differential Equations, Stephen R. Bernfeld Jan 1976

The Extendability And Uniqueness Of Solutions Of Ordinary Differential Equations, Stephen R. Bernfeld

Mathematics Technical Papers - Archive

In a recent paper [1] the author obtained results on the extendability of solutions of perturbed differential equations. The question of the extendability of solutions of differential equations is a fundamental and important property since questions of stability and boundedness require extendability. In this paper we continue our study of extendability of perturbed scalar differential equations. Our somewhat surprising results also extend to the question of uniqueness of the zero solution of perturbed equations satisfying an Osgood condition [4] (See also [2] for recent results on the uniqueness of perturbed systems.) Examples are provided to demonstrate the strength of our …

Go to article

The University Of Texas At Arlington Graduate Catalog 1976-1977, The University Of Texas At Arlington Jan 1976

The University Of Texas At Arlington Graduate Catalog 1976-1977, The University Of Texas At Arlington

UTA Graduate Catalogs

No abstract provided.

Go to article

Colonial American Literature: From Wilderness To Independence, Robert Douglas Mead Jan 1976

Colonial American Literature: From Wilderness To Independence, Robert Douglas Mead

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

Contains Title page, Table of Contents

Go to article

American Literary Scholarship: An Annual 1974, James Woodress, Lawrence Buell, Nina Baym, G. R. Thompson, Hershel Parker, Bernice Slote, Hamlin Hill, William T. Stafford, Richard M. Ludwig, Karl F. Zender, Jackson R. Bryer, Robert D. Arner, Warren French, David Stouck, Margaret Anne O'Connor, James H. Justus, Richard Crowder, Linda Welshimer Wagner, Jordan Y. Miller, John T. Flanagan, Michael J. Hoffman, Jean Riviere, Hans Galinsky, Rolando Anzilotti, Keiko Beppu, Rolf Lunden Jan 1976

American Literary Scholarship: An Annual 1974, James Woodress, Lawrence Buell, Nina Baym, G. R. Thompson, Hershel Parker, Bernice Slote, Hamlin Hill, William T. Stafford, Richard M. Ludwig, Karl F. Zender, Jackson R. Bryer, Robert D. Arner, Warren French, David Stouck, Margaret Anne O'Connor, James H. Justus, Richard Crowder, Linda Welshimer Wagner, Jordan Y. Miller, John T. Flanagan, Michael J. Hoffman, Jean Riviere, Hans Galinsky, Rolando Anzilotti, Keiko Beppu, Rolf Lunden

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

Contains Title Page, Copyright Page, and Table of Contents

Go to article

Reveille 1976 (Uta Yearbook 1976), The University Of Texas At Arlington Jan 1976

Reveille 1976 (Uta Yearbook 1976), 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

Go to article

Structural Inference On Reliability In A Lognormal Model, Danny D. Dyer Dec 1975

Structural Inference On Reliability In A Lognormal Model, Danny D. Dyer

Mathematics Technical Papers - Archive

The theory of structural inference, as developed by Fraser (1968), is based on a group-theoretic approach using invariant Haar measures to Fisher's fiducial theory. Structural inference theory constructs a unique distribution, conditional on the given sample information only, for the parameters of a measurement model. Based on the structural density for the two-parameter lognormal distribution, the structural density and distribution function for the reliability function are derived. Consequently, expressions for structural point and interval estimates of the reliability function are developed. Approximations for large sample sizes and/or moderately reliable components are also discussed. An example based on lognormal data is …

Go to article

On The Zeros Of Monotone Operators Of Retarded Type In A Banach Space, Patrick Sutherland, V. Lakshmikantham Sep 1975

On The Zeros Of Monotone Operators Of Retarded Type In A Banach Space, Patrick Sutherland, V. Lakshmikantham

Mathematics Technical Papers - Archive

Recent interest in the Cauchy problem for differential equations in a Banach space [9] has stimulated a similar interest for differential equations of a retarded type in a Banach space. The difficulty in imposing assumptions due to a different range and domain space has been overcome in [4] where existence of solutions is established using a monotoni- city type condition in terms of norm and weaker forms of differential inequalities. The theory of existence of solutions of differential equations has been used in [1,2,5,6,7] to obtain existence of zeros and fixed points for nonlinear operators from E into E. In …

Go to article

A Survey Of Techniques For Determining Lower Confidence Bounds On Series System Reliability Based On Subsystem Test Data, Danny D. Dyer Sep 1975

A Survey Of Techniques For Determining Lower Confidence Bounds On Series System Reliability Based On Subsystem Test Data, Danny D. Dyer

Mathematics Technical Papers - Archive

A problem of considerable interest and for which a great deal of research has been expended is that of determining lower confidence bounds on series system reliability based on subsystem failure data. With regard to the types of failure data taken on the subsystems, primary consideration is given to binomial (pass-fail) data, exponentially distributed time-to-fail data for both Type I censoring (fixed test times) and Type II censoring (fixed number of failures), or any mixture thereof. In this survey we shall examine optimum solutions whenever they exist, approximate optimum solutions, and nonoptimum solutions. Numerical examples are given to illustrate the …

Go to article

On The Convergence Of Successive Approximations For Quasi-Nonexpansive Mappings Through Abstract Cones, B. B. Williams, J. C. Bolen Jul 1975

On The Convergence Of Successive Approximations For Quasi-Nonexpansive Mappings Through Abstract Cones, B. B. Williams, J. C. Bolen

Mathematics Technical Papers - Archive

In a recent paper, Petryshyn and Williamson [4] investigated the convergence of successive approximations of quasi- nonexpansive mappings in a Banach space. This paper contains an outline, in chronological order, of the main results concerning the convergence of iteration method and consequently includes a number of references. Perov and Kibenko [3] employed generalized Banach spaces to extend contraction mapping principal and to show the flexibility of such an approach in applications. See also Bernfeld and Lakshmikantham [1]. More recently, Eisenfeld and Lakshmikantham [5,6] proved some fixed point theorems in abstract cones which extend and generalize many known results. In this …

Go to article

Remarks On Nonlinear Contraction And Comparison Principle In Abstract Cones, V. Lakshmikantham, Jerome Eisenfeld Jun 1975

Remarks On Nonlinear Contraction And Comparison Principle In Abstract Cones, V. Lakshmikantham, Jerome Eisenfeld

Mathematics Technical Papers - Archive

The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for notation] and for the latter one has a condition of the type [see pdf for notation] where p is the metric and y is the Kuratowski measure of noncompactness. If p is a linear map [see pdf for notation] from the nonnegative reals [see pdf for notation] into itself then the map T satisfying (1.1) is said to be k-contractive and the map satisfying (1.2) is said to be k-set …

Go to article

On The Existence Of Solutions Of Differential Equations Of Retarded Type In A Banach Space, V. Lakshmikantham, Roger W. Mitchell, A. Richard Mitchell Jun 1975

On The Existence Of Solutions Of Differential Equations Of Retarded Type In A Banach Space, V. Lakshmikantham, Roger W. Mitchell, A. Richard Mitchell

Mathematics Technical Papers - Archive

The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools that are available for the study of equations without delay pose problems in this case since the domain and the range come from different Banach spaces. To overcome this difficulty, subsets of the domain have to be chosen carefully and weaker forms of differential inequalities have to be employed.

Go to article

Maximal And Minimal Solutions And Comparison Principle For Differential Equations In Abstract Cones, Roger W. Mitchell, A. Richard Mitchell, V. Lakshmikantham Jun 1975

Maximal And Minimal Solutions And Comparison Principle For Differential Equations In Abstract Cones, Roger W. Mitchell, A. Richard Mitchell, V. Lakshmikantham

Mathematics Technical Papers - Archive

Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result an abstract comparison principle is developed. The results of the paper significantly improve earlier results of the authors and also simplify the proofs of other known results.

Go to article

On A Measure Of Nonconvexity And Applications, V. Lakshmikantham, Jerome Eisenfeld Jun 1975

On A Measure Of Nonconvexity And Applications, V. Lakshmikantham, Jerome Eisenfeld

Mathematics Technical Papers - Archive

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 regard was not appreciated until much later). Following Kuratowski we introduce a measure of nonconvexity which has many properties in common with the measure of noncompactness and therefore we may now have "convex" where previously we had "compact" in the statements of some theorems.

Go to article

Statistical Analysis Of Fourier Coefficients In A Restricted Harmonic Dial, Danny D. Dyer Apr 1975

Statistical Analysis Of Fourier Coefficients In A Restricted Harmonic Dial, Danny D. Dyer

Mathematics Technical Papers - Archive

Due to the physical nature of certain periodic data, the harmonic dial points (the Fourier coefficients obtained from harmonic analysis of the data) are sometimes restricted to circular regions in the dialplane. It is proposed that a circular normal distribution (CND) truncated outside a circular region be used to describe the probabilistic behavior of the random phenomena. Recurrence relations for the population moments of a CND truncated outside a circular region are derived. These recurrence relations are used to obtain consistent asymptotically (jointly) normal estimators of the unknown parameters of the distribution. A numerical example based on the harmonic dial …

Go to article

Erratic Residents Purple Finches Cause 'Pink Sparrow' Winter, Jessie Maye Smith Mar 1975

Erratic Residents Purple Finches Cause 'Pink Sparrow' Winter, Jessie Maye Smith

Jessie Maye Smith Birds and Watchers Columns Collection

No abstract provided.

Go to article

Perfect Polynomials Over Gf(Q), James R. O'Connell Jr., Jacob T. B. Beard Jr., Karen I. West Mar 1975

Perfect Polynomials Over Gf(Q), James R. O'Connell Jr., Jacob T. B. Beard Jr., Karen I. West

Mathematics Technical Papers - Archive

A monic polynomial [see pdf for notation] is called perfect over GF(q) if and only if the sum [see pdf for notation] of the distinct monic divisors in GF[q,x] of A(x) equals A(x). Principal results characterize all perfect polynomials over GF(p) which split in GF[p,x]. Related results lead to conjectured analogs of the classical problem on the existence of odd perfect numbers.

Go to article

Vector Lyapunov Functions And Perturbations Of Nonlinear Systems, Marion E. Moore, Roger W. Mitchell Mar 1975

Vector Lyapunov Functions And Perturbations Of Nonlinear Systems, Marion E. Moore, Roger W. Mitchell

Mathematics Technical Papers - Archive

Two recent papers [2,3] have combined the techniques of the Lyapunov method and the nonlinear variation of parameters to study the effects of perturbations of nonlinear differential systems. In this paper, we generalize the results obtained in [2,3] by the use of several Lyapunov functions and the concept of a generalized norm. To convince ourselves that we do have more flexibility in working with the generalized norm and vector Lyapunov functions see [1,4].

Go to article

Block Diagonalization And Eigenvalues, Jerome Eisenfeld Mar 1975

Block Diagonalization And Eigenvalues, Jerome Eisenfeld

Mathematics Technical Papers - Archive

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 E and H have respective orders [see pdf for notation] and [see pdf for notation]. We seek to obtain conditions under which A is similar to a matrix D of the form [see pdf for notation] where [see pdf for notation] denotes the zero [see pdf for notation] matrix over A. Some advantage is gained in working in a general algebra. The algebra A may be taken as a Banach algebra of …

Go to article

First Prev Next Last