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Systems By The Method Of Quasisolutions, A. S. Vatsala, V. Lakshmikantham Jan 1981

Systems By The Method Of Quasisolutions, A. S. Vatsala, V. Lakshmikantham

Mathematics Technical Papers - Archive

Recently [10] the method of lower and upper solutions has been extended to systems of reaction diffusion equations which has become very useful in dealing with applications. This extension depends crucially on a certain property known as quasimonotone nondecreasing property [8] without which the results fail under natural definition of lower and upper solutions. When the quasimonotone property does not hold but a certain mixed quasimonotone property is satisfied, which is the case in several applications [7], the method of quasisolutions is more suitable [2,4,6,9]. All these results utilize monotone iterative technique. When no monotone condition holds one can also …


On The Fundamental Theory Of Nonlinear Second Order Stochastic Boundary Value Problems, G. S. Ladde, Jagdish Chandra, V. Lakshmikantham Jan 1981

On The Fundamental Theory Of Nonlinear Second Order Stochastic Boundary Value Problems, G. S. Ladde, Jagdish Chandra, V. Lakshmikantham

Mathematics Technical Papers - Archive

A Study of nonlinear second order stochastic boundary value problems (SBVP for short) is initiated through sample calculus approach. A basic existence result for bounded nonlinearities is established. The method of upper and lower solution processes and a general existence theorem are established. After proving the stochastic version of the needed maximum principle, the monotone iterative technique is developed which yields existence of multiple solution processes of SBVP. Finally, by developing a stochastic comparison result, the important problem of finding error estimates between the sample solutions of SBVP and the solutions of corresponding mean BVP, is considered.


The University Of Texas At Arlington Graduate Catalog 1981-1982, The University Of Texas At Arlington Jan 1981

The University Of Texas At Arlington Graduate Catalog 1981-1982, The University Of Texas At Arlington

UTA Graduate Catalogs

No abstract provided.


American Literary Scholarship: An Annual 1979, James Woodress, Wendell Glick, David B. Kesterson, Albert Robbins, Hershel Parker, Willis J. Buckingham, Louis J. Budd, Robert L. Gale, George Bornstein, Stuart Y. Mcdougal, Panthea Reid Broughton, Scott Donaldson, William J. Scheick, Kermit Vanderbilt, David Stouck, Jack Salzman, Jerome Klinkowitz, Richard Crowder, Sandra M. Gilbert, Winifred Frazer, John M. Reilly, Jonathan Morse, F. Lyra, Maurice Couturier, Hans Galinsky, Rolano Anzilotti, Keiko Beppu, Rolf Lunden Jan 1981

American Literary Scholarship: An Annual 1979, James Woodress, Wendell Glick, David B. Kesterson, Albert Robbins, Hershel Parker, Willis J. Buckingham, Louis J. Budd, Robert L. Gale, George Bornstein, Stuart Y. Mcdougal, Panthea Reid Broughton, Scott Donaldson, William J. Scheick, Kermit Vanderbilt, David Stouck, Jack Salzman, Jerome Klinkowitz, Richard Crowder, Sandra M. Gilbert, Winifred Frazer, John M. Reilly, Jonathan Morse, F. Lyra, Maurice Couturier, Hans Galinsky, Rolano 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


A Letter From Professor Daniel Aaron, Daniel Aaron Jan 1981

A Letter From Professor Daniel Aaron, Daniel Aaron

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

American Literature Extra Essays


The Treasures Of El Maghreb: The Arts And Crafts Of Morocco Exhibition And Sale, The University Of Texas At Arlington, Government Of The Kingdom Of Morocco Jan 1981

The Treasures Of El Maghreb: The Arts And Crafts Of Morocco Exhibition And Sale, The University Of Texas At Arlington, Government Of The Kingdom Of Morocco

1981 - The Treasures of El Maghreb

Exhibition and Sale of Arts and Crafts from Morocco between the University of Texas at Arlington and the Government of the Kingdom of Morocco. The four-page pamphlet displays all sorts of textiles and pieces from Morocco along with images of the persons making the items.


1980.2 - Student Housing Uta, Martin Price, Robert Meckfessel Dec 1980

1980.2 - Student Housing Uta, Martin Price, Robert Meckfessel

School of Architecture Student Projects - Archive

Design work from the 1980 fall semester, Studio Martin Price, School of Architecture, The University of Texas at Arlington. Dormitory. Robert Meckfessel. The aim of positioning the dorm at the periphery of the UTA commuter parking lot, is to attempt to socially intermix the student residents with students who commute to campus. The three dormitory pathways meander across a pond and form a connection to the University. These paths define the form of the linear buildings and arrive at a plaza that focuses on the main route through the campus. Roof profiles also meander and join an earth berm, giving …


A Grammar Of Two Pacoh Texts, Richard Leon Watson Dec 1980

A Grammar Of Two Pacoh Texts, Richard Leon Watson

Linguistics & TESOL Dissertations - Archive

The goals of this grammar are threefold: first to learn more about the Pacoh language of Viet Nam and leave a record of the results for future students of Pacoh; second, to learn more about discourse structure, and third, to learn more about deep grammar and its correlations with surface grammar. The method followed emphasizes a particular discourse approach and a particular deep and surface grammar approach. The discourse approach calls for a thorough analysis of two expository texts, resulting in individual text grammars. These are next compared and contrasted with each other. Then they are compared and contrasted with …


The Method Of Upper, Lower Solutions And Volterra Integral Equations, G. S. Ladde, B. G. Pachpatte, V. Lakshmikantham Dec 1980

The Method Of Upper, Lower Solutions And Volterra Integral Equations, G. S. Ladde, B. G. Pachpatte, V. Lakshmikantham

Mathematics Technical Papers - Archive

In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When the given system does not possess such a monotonic property, stronger forms of upper and lower solutions have to be assumed in order to obtain similar results [4,6,9]. Furthermore, if the system enjoys a mixed monotone property the method of quasi-upper and lower solutions, which is recently introduced, is most useful [7]. In this paper we shall extend these ideas to Volterra integral equations. We want to note that Volterra integral equations and …


An Analysis Of Stress Wave Propagation In Slender Bars Using A Discrete Particle Approach, Donald Greenspan, W. R. Reeves Dec 1980

An Analysis Of Stress Wave Propagation In Slender Bars Using A Discrete Particle Approach, Donald Greenspan, W. R. Reeves

Mathematics Technical Papers - Archive

In this paper, a discrete particle approach is developed for the quantitative analysis of stress wave propagation in metal bars. Though linear forces are emphasized, nonlinear forces are also considered. Cylindrical, tapered, homogeneous, and nonhomogeneous bars are studied. Computer results show most favorable agreement with available theoretical and experimental results.


Numerical Simulation Of Free Surface Thermally-Influenced Flows For Nonhomogeneous Fluids, Vincenzo Casulli Nov 1980

Numerical Simulation Of Free Surface Thermally-Influenced Flows For Nonhomogeneous Fluids, Vincenzo Casulli

Mathematics Technical Papers - Archive

In this paper a finite difference technique is presented to simulate the behavior of natural water bodies under the influence of pollutants and temperature differences. The mathematical model which has been discretized is the closed system obtained by combining the Navier-Stokes equations, the heat transfer equation, the diffusion equations, and an equation relating fluid density to both the chemical concentration and the temperature. The numerical method is based on the Marker-and-Cell method which has been extended to consider the volume expansion due to heat transfer and the density variations.


American Literature: The State Of The Art, C. Hugh Holman Nov 1980

American Literature: The State Of The Art, C. Hugh Holman

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

American Literature Extra Essays


Stability And Generalized Hopf Bifurcation Through A Reduction Principle, Stephen R. Bernfeld, L. Salvadori, P. Negrini Oct 1980

Stability And Generalized Hopf Bifurcation Through A Reduction Principle, Stephen R. Bernfeld, L. Salvadori, P. Negrini

Mathematics Technical Papers - Archive

We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these periodic orbits has often been obtained by using such techniques as the Liapunov-Schmidt method or topological degree arguments (see [5] and its references). Our approach, on the other hand, is based upon stability properties of the equilibrium point of the unperturbed system. Andronov et. al. [1] showed the fruitfulness of this approach in studying bifurcation problems in R2 (for more recent papers see Negrini and Salvadori 161 and Bernfeld and Salvadori [2]). In the case …


Perception And Imagination: A Note On Seven Arrows, Kenneth M. Roemer Sep 1980

Perception And Imagination: A Note On Seven Arrows, Kenneth M. Roemer

English Faculty Publications - Archive

No abstract provided.


Numerical Studies Of Double-Layer Circularization And Gastrulation, Donald Greenspan Aug 1980

Numerical Studies Of Double-Layer Circularization And Gastrulation, Donald Greenspan

Mathematics Technical Papers - Archive

In this paper, certain types of biological cell rearrangements are modeled from a computer point of view. All forces are of a local nature and are patterned on classical atomic and molecular interactions. It is first shown how to induce a double-layered flat tissue to fold into a double-layered circular tissue. Then, it is shown how to induce a section of the circular tissue to pull inward, or gastrulate.


Stability And Asymptotic Equivalence Of Perturbations Of Nonlinear Systems Of Differential Equations, M. E. Lord Aug 1980

Stability And Asymptotic Equivalence Of Perturbations Of Nonlinear Systems Of Differential Equations, M. E. Lord

Mathematics Technical Papers - Archive

A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of differential systems was demonstrated by Brauer [2,3,4]. In [6] a different approach to the nonlinear variation of constants method is given. This new approach involves determining the solution of the perturbed system by variation of the starting vector in the unperturbed system. Conceptually this is the method used in obtaining the classical variation of constants formula for perturbations of linear systems. In [6] the method yields two different formulas, one of which is equivalent to the …


Existence And Asymptotic Behavior Of Reaction-Diffusion Systems Via Coupled Quasi-Solutions, G. S. Ladde, A. S. Vatsala, V. Lakshmikantham Aug 1980

Existence And Asymptotic Behavior Of Reaction-Diffusion Systems Via Coupled Quasi-Solutions, G. S. Ladde, A. S. Vatsala, V. Lakshmikantham

Mathematics Technical Papers - Archive

In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone property is necessary [2,7,10]. However, there are several physical situations wherein such a property is not satisfied [1]. This difficulty has been overcome by introducing the notion of quasi-solutions [3,8,9]. In this paper we consider the reaction-diffusion system in which quasi-monotone property is not satisfied but a mixed quasimonotone property holds. By utilizing fruitfully the notion of quasi-solutions we prove the existence of coupled maximal and minimal solutions. For this purpose we exploit the monotone iterative technique. We then …


The Interrelationship Of Cultural Information, Linguistic Structure, And Symbolic Representations In A Halbi Myth, Frances Margaret Woods Jul 1980

The Interrelationship Of Cultural Information, Linguistic Structure, And Symbolic Representations In A Halbi Myth, Frances Margaret Woods

Linguistics & TESOL Dissertations - Archive

The mythology of the Halbi people reveals and reflects their cognitive orientation (and, in the process, validates their cultural values). The Halbis' myths are expressed through the linguistic form of narrative discourse but mere analysis of the form of the discourse provides only a fragmentary understanding of the content. As a result, linguistic analysis is only part of discourse analysis. Discourse analysis also calls for an analysis of the cultural setting and of the dynamic interplay between the culture and language in terms of the message (or meaning) of a given myth within a given culture. This study represents an …


Fixed Point Theorems For Ppf Mappings Satisfying Inwardness Conditions, Stephen R. Bernfeld, Y. M. Reddy, V. Lakshmikantham Jul 1980

Fixed Point Theorems For Ppf Mappings Satisfying Inwardness Conditions, Stephen R. Bernfeld, Y. M. Reddy, V. Lakshmikantham

Mathematics Technical Papers - Archive

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. In particular we consider the analogues of recent results of Caristi and Kirk [5,6,8] where "inwardness conditions" are used to obtain fixed points. More precisely "inwardness conditions" on a mapping T whose domain K is a proper subspace of its range have been imposed to ensure that T maps points x of K "towards" K. Caristi and Kirk, for example, have considered two different conditions, metrically inward and weakly inward (this is the …


The Riccati Equation Arising In The Control Theory, G. Da Prato Jun 1980

The Riccati Equation Arising In The Control Theory, G. Da Prato

Mathematics Technical Papers - Archive

No abstract provided.


Pragmatic Aspects Of English Text Structure, Larry Bert Jones May 1980

Pragmatic Aspects Of English Text Structure, Larry Bert Jones

Linguistics & TESOL Dissertations - Archive

This study is an integration of two frequently independent fields of inquiry in linguistics, text analysis and pragmatics. It brings together the focus in text analysis on the structural and cohesive aspects of monolog discourses, with the focus in pragmatics on the relations between individual sentences and the communicative context in which they are uttered. The perspectives of text analysis and pragmatics are linked in an examination of the relations between the structure of written English texts and one aspect of the communicative context: an author's assumptions about the knowledge of his reader. This study makes five major contributions to …


A New Mathematical Approach To Biological Cell Rearrangement With Applications To The Inversion Of Volvox, Donald Greenspan May 1980

A New Mathematical Approach To Biological Cell Rearrangement With Applications To The Inversion Of Volvox, Donald Greenspan

Mathematics Technical Papers - Archive

This paper develops a new method for modeling cell rearrangement in both two and three dimensions. The method uses classical molecular type forces and is computer oriented, recursively explicit, and economical. As yet, the approach is simplistic in that switching processes are not related deterministically to chemical, neurological, or genetic precursors. Illustrative computer examples of the inversion of volvox are described and discussed.


On The Discrimination Between The Lognormal And The Weibull Distributions With Applications To Offshore Oil/Gas Lease Bids, Danny D. Dyer May 1980

On The Discrimination Between The Lognormal And The Weibull Distributions With Applications To Offshore Oil/Gas Lease Bids, Danny D. Dyer

Mathematics Technical Papers - Archive

The competitive sealed bids on an individual offshore oil and gas lease are often assumed to follow a lognormal distribution (Brown, 1969). However, under the lognormality assumption there are known discrepancies between observed and theoretical results. Accordingly, alternative lease bid distributions have been studied. In particular, Dyer (1980) has shown that one would not reject the hypothesis that the bids on certain groups of leases follow Weibull distributions. In this paper, we discuss test procedures for discriminating between a lognormal distribution and a Weibull distribution. The procedure is then applied to the group of 12-, 13-, 14-, 15-, and 16-bid …


A Classical Molecular Approach To Computer Simulation Of Biological Sorting, Donald Greenspan May 1980

A Classical Molecular Approach To Computer Simulation Of Biological Sorting, Donald Greenspan

Mathematics Technical Papers - Archive

Steinberg's theory of sorting is modified by replacing the free energy minimization principle with dynamical equations of a molecular nature. Correct cellular sorting then follows in all cases where the mixture is in a liquid or a near-liquid state. Computer examples are described and discussed, primarily for two dimensional, but also for three dimensional, interactions.


Stochastic Parameters In Compartmental Systems, Jerome Eisenfeld May 1980

Stochastic Parameters In Compartmental Systems, Jerome Eisenfeld

Mathematics Technical Papers - Archive

Let [see pdf for notation] denote the probability that a particle in compartment j will reach (or enter) compartment i. We present several formulas for obtaining the [see pdf for notation] in terms of the fractional transfer coefficients. The parameter are interesting for their own sake and they are also useful for obtaining qualitative properties of compartmental systems and for interpreting results already obtained. The reachability parameters also play a role in structural identification since they give us a new method for expressing the transfer function.


Application Of A Cognitive Model Of Linguistic Structure To The Analysis Of Selected Problems In Tzeltal (Mayan) Grammar, Stephen Leslie Walter May 1980

Application Of A Cognitive Model Of Linguistic Structure To The Analysis Of Selected Problems In Tzeltal (Mayan) Grammar, Stephen Leslie Walter

Linguistics & TESOL Dissertations - Archive

Underlying the dominant theory of language today is the assumption that language is innate to homo sapiens. Theoretical and analytic work at all levels of linguistic inquiry are predicated upon this assumption. The present study questions this assumption arguing instead that what is innate is a limited set of cognitive structures which interface man and his environment. It is suggested that man is heavily dependent upon these cognitive structures for knowledge about the external world. Further, it is assumed that language is a behavior by which man communicates to others a portion of what he has learned about his world …


Variation Of Constants, Vector Lyapunov Functions And Comparison Theorem, A. R. Aftabizadeh Apr 1980

Variation Of Constants, Vector Lyapunov Functions And Comparison Theorem, A. R. Aftabizadeh

Mathematics Technical Papers - Archive

In this paper we combine the above ideas to obtain a new comparison result and discuss its relation to known results. A simple application to stability theory is also given to indicate the usefulness of the comparison result. Our result is expected to play a prominent role in the qualitative study of differential equations.


Periodic Solutions Of Nonlinear Boundary Value Problems, V. Lakshmikantham, R. Kannan Apr 1980

Periodic Solutions Of Nonlinear Boundary Value Problems, V. Lakshmikantham, R. Kannan

Mathematics Technical Papers - Archive

One of the well known techniques in the theory of nonlinear boundary value problems (BVP) is the method of differential inequalities or the method of upper and lower solutions. The method of "Alternative Problems", a global variant of the Lyapunov-Schmidt method, has been used in the study of problems at resonance. The investigation of periodic BVP's forms an important subclass of problems at resonance. Our aim is to combine the two approaches to discuss nonlinear problems at resonance. We restrict ourselves in this paper to the discussion of periodic boundary value problems. In Section 1, we shall indicate the method …


Computer Studies Of The Classical Oxygen Molecule, Donald Greenspan Mar 1980

Computer Studies Of The Classical Oxygen Molecule, Donald Greenspan

Mathematics Technical Papers - Archive

A classical, simplistic model of the molecular dynamics of 02 is developed for interactions which are not readily amenable to quantum mechanical analysis. All electron-electron interactions are included. Extensive computer examples are described and the reasonableness of the Born-Oppenheimer approximation is explored.


Offshore Oil/Gas Lease Bidding And The Weibull Distributions, Danny D. Dyer Mar 1980

Offshore Oil/Gas Lease Bidding And The Weibull Distributions, Danny D. Dyer

Mathematics Technical Papers - Archive

It is the purpose of this paper to study the use of the Weibull distribution as an acceptable model for the distribution of the bids on a lease. A multi-sample test procedure of the Weibull-bids hypothesis will be given and implemented to show that the Weibull distribution provides a better statistical fit than does the lognormal distribution for the group of 13-, 14-, 15-, and 16-bid leases.