Mathematics Commons^™

Concerning Periodic Points In Mappings Of Continua, W. (William) T. (Thomas) Ingram

Mathematics and Statistics Faculty Research & Creative Works

In this paper we present some conditions which are sufficient for a mapping to have periodic points. © 1988 American Mathematical Society.

Computer Science—A Mathematical Science And Accreditation, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Remarks On A Semilinear Elliptic Equation On Rn, Yi Li

Yi Li

No abstract provided.

Remarks On A Semilinear Elliptic Equation On Rn, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

Spectral Measures, Orthogonal Polynomials, And Absolute Continuity, Joanne Dombrowski

Mathematics and Statistics Faculty Publications

This paper studies the spectral measure of an unbounded tridiagonal matrix operator for which the matrix entries satisfy a certain growth condition, and presents a sufficient condition for the existence of an absolutely continuous part. The results are related to a class of orthogonal polynomials with exponential weights.

Recruiting More Computer Science Students - What To Do After The "Glamour" Has Gone Away?, William E. Mcbride, James Calhoun, James Richards, Harriet Taylor, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

The moderator will first focus on the question: "Are enrollments actually declining in computer science programs across this country?" He will report the results of his surveys which indicate there has been a definite downturn in enrollment over the past two years. The panelists will then discuss what is being done at their schools to recruit students and to meet this new challenge of declining enrollments.

Recruiting More Computer Science Students—What To Do After The “Glamour” Has Gone Away?, William E. Mcbride, James Calhoun, James L. Richards, Harriet G. Taylor, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

The moderator will first focus on the question: "Are enrollments actually declining in computer science programs across this country?" He will report the results of his surveys which indicate there has been a definite downturn in enrollment over the past two years. The panelists will then discuss what is being done at their schools to recruit students and to meet this new challenge of declining enrollments. © 1988, ACM. All rights reserved.

Structure Of Fourier And Fourier-Stieltjes Coefficients Of Series With Slowly Varying Convergence Moduli, Časlav V. Stanojević

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

A Fixed Point Theorem Revisited, Alberta Bollenbacher, Troy L. Hicks

Mathematics and Statistics Faculty Research & Creative Works

A version of a theorem commonly referred to as Caristi's Theorem is given. It has an elementary constructive proof, and it includes many generalizations of Banach's fixed point theorem. Several examples illustrate the diversity that can occur. © 1988 American Mathematical Society.

Generalized Homogeneity Of Finite And Of Countable Topological Spaces, J. J. Charatonik, W. J. Charatonik

Mathematics and Statistics Faculty Research & Creative Works

Finite and countable topological spaces are investigated which are homogeneous, homogeneous with respect to open mappings or with respect to continuous ones. It is shown that for finite spaces all three concepts of homogeneity coincide, while for countable or for uncountable ones they are distinct. Some characterization of countable spaces that are homogeneous in either sense are found for the metric setting.

On Conformal Scalar Curvature Equations In Rn, Yi Li, Wei-Ming Ni

Yi Li

No abstract provided.

On Conformal Scalar Curvature Equations In Rn, Yi Li, Wei-Ming Ni

Mathematics and Statistics Faculty Publications

No abstract provided.

Periodic Solutions Of Volterra Integral Equations, Muhammad Islam

Mathematics Faculty Publications

Consider the system of equations

x(t)=f(t)+∫−∞tk(t,s)x(s)ds,           (1)

and

x(t)=f(t)+∫−∞tk(t,s)g(s,x(s))ds.        (2)

Existence of continuous periodic solutions of (1) is shown using the resolvent function of the kernel k. Some important properties of the resolvent function including its uniqueness are obtained in the process. In obtaining periodic solutions of (1) it is necessary that the resolvent of k is integrable in some sense. For a scalar convolution kernel k some explicit conditions are derived to determine whether or not the resolvent of k is integrable. Finally, the existence and uniqueness of continuous periodic solutions of (1) and (2) are obtained using the …