Digital Commons Network^™

The Lazer Mckenna Conjecture For Radial Solutions In The Rn Ball, Alfonso Castro, Sudhasree Gadam

All HMC Faculty Publications and Research

When the range of the derivative of the nonlinearity contains the first k eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the existence of k + 1 solutions was proven.

Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue

Humanistic Mathematics Network Journal

No abstract provided.

Like Poetry, Mathematics Is Beautiful, Joanne Growney

Humanistic Mathematics Network Journal

No abstract provided.

Writing Style - An Editorial Comment, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal

Humanistic Mathematics Network Journal

No abstract provided.

Letter About Philosophia Mathematica, Robert Thomas

Humanistic Mathematics Network Journal

No abstract provided.

Canadian Society For History And Philosophy Mathematics Speaker List

Humanistic Mathematics Network Journal

No abstract provided.

The Role Of Faith In Mathematics, Dick Wood

Humanistic Mathematics Network Journal

No abstract provided.

Math Nonsence Verse, Helen Lewy

Humanistic Mathematics Network Journal

No abstract provided.

A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl

Humanistic Mathematics Network Journal

No abstract provided.

Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy

Humanistic Mathematics Network Journal

No abstract provided.

On Attracting Mathematics Majors, Kazem Mahdavi

Humanistic Mathematics Network Journal

No abstract provided.

The Basis For The Success Of The Potsdam Program, Rick Luttmann

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics And The Arts — A Bibliography, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.

A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens

Humanistic Mathematics Network Journal

No abstract provided.

Liberal Education In The Liberal Sense, Annalisa Crannell

Humanistic Mathematics Network Journal

No abstract provided.

The Popular Image Of Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.

Poems, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

A Multicultural Matrix For Mathematics Education: Generic Ideas, Rheta N. Rubenstein

Humanistic Mathematics Network Journal

No abstract provided.

On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal

Humanistic Mathematics Network Journal

No abstract provided.

In Fin Ity, Bonnie Shulman

Humanistic Mathematics Network Journal

No abstract provided.

Are There Revolutions In Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.

A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.

Complete Issue 8, 1993

Humanistic Mathematics Network Journal

No abstract provided.

Uniqueness And Stability Of Nonnegative Solutions For Semipositone Problems In A Ball, Ismael Ali, Alfonso Castro, Ratnasingham Shivaji

All HMC Faculty Publications and Research

We study the uniqueness and stability of nonnegative solutions for classes of nonlinear elliptic Dirichlet problems on a ball, when the nonlinearity is monotone, negative at the origin, and either concave or convex.

Optimal Leapfrogging, Joel Auslander, Arthur T. Benjamin, Daniel S. Wilkerson

All HMC Faculty Publications and Research

No abstract provided in this article.

An Elementary Approach To Some Analytic Asymptotics, Nicholas Pippenger

All HMC Faculty Publications and Research

Fredman and Knuth have treated certain recurrences, such as $M(0) = 1$ and\[M(n + 1) = \mathop {\min }\limits_{0 \leqslant k \leqslant n} (\alpha M(k) + \beta M(n - k)),\] where $\min (\alpha ,\beta ) > 1$, by means of auxiliary recurrences such as \[h(x) = \left\{ {\begin{array}{*{20}c} {0\qquad {\text{if}}0 \leqslant x < 1,} \\ {1 + h({x / \alpha }) + h({x / \beta }){\text{ if}}1 \leq x < \infty .} \\ \end{array} } \right.\] The asymptotic behavior of $h(x)$ as $x \to \infty $ with $\alpha $ and $\beta $ fixed depends on whether ${{\log \alpha } / {\log \alpha }}$ is rational or irrational.

The solution of Fredman and Knuth used analytic methods in both cases, and used in particular the Wiener–Ikehara Tauberian theorem in the irrational case. The author shows that a more explicit solution to these recurrences can be obtained by entirely elementary methods, based on a geometric interpretation of $h(x)$ …

A Bifurcation Theorem And Applications, Alfonso Castro, Jorge Cossio

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In this paper we give a sufficient condition on the nonlinear operator N for a point (λ, u) to be a local bifurcation point of equations of the form u + λL^-1(N(u)) = 0, where L is a linear operator in a real Hilbert space, L has compact inverse, and λ ∈ R is a parameter. Our result does not depend on the variational structure of the equation or the multiplicity of the eigenvalue of the linear operator L. Applications are made to systems of differential equations and to the existence of periodic solutions of nonlinear second order …

Topologies And Cotopologies Generated By Sets Of Functions, Alan Dow, Melvin Henriksen, Ralph Kopperman, R. G. Woods

All HMC Faculty Publications and Research

Let L be either [0, 1] or {0, 1} with the usual order. We study topologies on a set X for which the cozero-sets of certain subfamilies H of L^x form a base, and the properties imposed on such topologies by hypothesizing various order-theoretic conditions on H. We thereby obtain useful generalizations of extremely disconnected spaces, basically disconnected spaces, and F-spaces. In particular we use these tools to study the space of minimal prime ideals of certain commutative rings.