Volume 38 Issue 4 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 38 · NO. 4 | 2008

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 38, no. 4, (2008)

Rocky Mountain J. Math. 38 (4), (2008) Open Access

No abstract available

Articles

On Extending the Inequalities of Payne, Pólya, and Weinberger Using Spherical Harmonics

Mark S. Ashbaugh, Lotfi Hermi

Rocky Mountain J. Math. 38 (4), 1037-1072, (2008) DOI: 10.1216/RMJ-2008-38-4-1037 Open Access

KEYWORDS: Eigenvalues of the Laplacian, Dirichlet eigenvalue problem for domains in Euclidean space, Payne-Pólya-Weinberger inequality, HileProtter inequality, H.C. Yang inequality, domain-dependent inequalities for eigenvalues, 35P15, 58G25, 49Rxx

No abstract available

A Goldbach-Waring Problem for Unequal Powers of Primes

Claus Bauer

Rocky Mountain J. Math. 38 (4), 1073-1090, (2008) DOI: 10.1216/RMJ-2008-38-4-1073 Open Access

KEYWORDS: 11P32, 11L07

No abstract available

Confluent Mappings and Arc Kelley Continua

J.J. Charatonik, W.J. Charatonik, J.R. Prajs

Rocky Mountain J. Math. 38 (4), 1091-1115, (2008) DOI: 10.1216/RMJ-2008-38-4-1091 Open Access

KEYWORDS: Arc Kelley continuum, confluent mapping, continuum, inverse limit, Knaster type continuum, locally connected, monotone, open, solenoid, 54B10, 54C10, 54E40, 54F15, 54F50

No abstract available

Attractors for Semi-Linear Equations of Viscoelasticity with Very Low Dissipation

S. Gatti, A. Miranville, V. Pata, S. Zelik

Rocky Mountain J. Math. 38 (4), 1117-1138, (2008) DOI: 10.1216/RMJ-2008-38-4-1117 Open Access

KEYWORDS: Hyperbolic equation with memory, dynamical system, Lyapunov function, Gradient System, global attractor, 35B40, 35L70, 37L45, 45K05, 74D99

No abstract available

Iterated Sums of Fifth Powers of Digits

H.G. Grundman, E.A. Teeple

Rocky Mountain J. Math. 38 (4), 1139-1146, (2008) DOI: 10.1216/RMJ-2008-38-4-1139 Open Access

KEYWORDS: 11A63

No abstract available

Spectral Theory for Nonlocal Dispersal with Periodic or Almost-Periodic Time Dependence

V. Hutson, W. Shen, G.T. Vickers

Rocky Mountain J. Math. 38 (4), 1147-1175, (2008) DOI: 10.1216/RMJ-2008-38-4-1147 Open Access

No abstract available

Applying the Conley Index to Fast-Slow Systems with One Slow Variable and an Attractor

William M. Kinney

Rocky Mountain J. Math. 38 (4), 1177-1214, (2008) DOI: 10.1216/RMJ-2008-38-4-1177 Open Access

KEYWORDS: Conley index, attractor, fast-slow system, Singular perturbation, Hodgkin-Huxley, 34D15, 37C70

No abstract available

A Nested Embedding Theorem for Hardy-Lorentz Spaces with Applications to Coefficient Multiplier Problems

Marc Lengfield

Rocky Mountain J. Math. 38 (4), 1215-1251, (2008) DOI: 10.1216/RMJ-2008-38-4-1215 Open Access

KEYWORDS: Hardy-Lorentz, nonlocally convex, dual space, coefficient, Multiplier, mixed norm, Bergman, 30D55, ‎30H05, 42A16, 46A16, 46A45, 46E10, ‎46E15, 46E30

No abstract available

Compositions of Projections in Banach Spaces and Relations Between Approximation Properties

M.I. Ostrovskii

Rocky Mountain J. Math. 38 (4), 1253-1262, (2008) DOI: 10.1216/RMJ-2008-38-4-1253 Open Access

KEYWORDS: 46B15, 46B07, 46B28

No abstract available

A Generalization of Wolstenholme's Harmonic Series Congruence

Hao Pan

Rocky Mountain J. Math. 38 (4), 1263-1269, (2008) DOI: 10.1216/RMJ-2008-38-4-1263 Open Access

KEYWORDS: Wolstenholme's harmonic series congruence, Lucas sequence, 11B39, 11A07

No abstract available

Existence of Almost Periodic Solutions for Impulsive Cellular Neural Networks

Gani Tr. Stamov

Rocky Mountain J. Math. 38 (4), 1271-1284, (2008) DOI: 10.1216/RMJ-2008-38-4-1271 Open Access

KEYWORDS: almost periodic solution, impulsive neural networks, 34K45, 34B37

No abstract available

Integer Solutions to the Equation $y^2=x(x^2\pm p^k)$

P.G. Walsh

Rocky Mountain J. Math. 38 (4), 1285-1302, (2008) DOI: 10.1216/RMJ-2008-38-4-1285 Open Access

No abstract available

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