ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 36 2006 Number 1
CONTENTS
Weakly Krull and Related Domains of the Form D+M, A+XB[X] and A+X2B[X]
BY DAVID F. ANDERSON, GYU WHAN CHANG
AND JEANAM PARK ...1
Bounded Solutions of Third Order Nonlinear Difference Equations
BY ANNA ANDRUCH-SOBILO AND MALGORZATA MIGDA 23
On the Goldbach Conjecture in Arithmetic Progressions
BY CLAUS BAUER AND WANG YONGHUI 35
Linear Preservers for Sylvester and Frobenius Bounds on Matrix Rank
BY LEROY B. BEASLEY, ALEXANDER E. GUTERMAN
AND CORA L. NEAL 67
Positive Integers Whose Euler Function Is a Power of Their Kernel Function
BY J.-M. DE KONINCK, F. LUCA
AND A. SANKARANARAYANAN 81
Multiple Positive Solutions for Elliptic Boundary Value Problems
BY PAVEL DRABEK AND STEPHEN B. ROBINSON 97
A Qualitative Analysis on Nonconstant Graininess of the Adaptive Grids via Time Scales
BY P.W. ELOE, S. HILGER AND Q. SHENG 115
Existence of Solutions for the Barotropic-Vorticity Equation in an Unbounded Domain
BY B. EMAMIZADEH AND F. BAHRAMI 135
A Telescoping Principle for Oscillation of Second Order Differential Equations on a Time Scale
BY LYNN ERBE, LINGJU KONG AND QINGKAI KONG 149
On Twisted Subgroups and Bol Loops of Odd Order
BY TUVAL FOGUEL, MICHAEL K. KINYON AND J.D. PHILLIPS 183
On the Classification Theorems of Almost-Hermitian or Homogeneous Kahler Structures
BY P. FORTUNY AND P.M. GADEA 213
New Congruences for Odd Perfect Numbers
BY LUIS H. GALLARDO AND OLIVIER RAHAVANDRAINY 225
CONTENTS CONTINUED ON LAST PAGE
Representations and Interpolations of Weighted Harmonic Bergman Functions
BY KYESOOK NAM 237
The Divergence-Free Jacobian Conjecture in Dimension Two
BY J.W. NEUBERGER 265
Approximation of Invariant Measures for Random Iterations
BY ANDERS OBERG 273
Differential Inequalities and Criteria for Starlike and Univalent Functions
BY M. OBRADOVIC, S. PONNUSAMY, V. SINGH
AND P. VASUNDHRA 303
Oscillation Results for Linear Matrix Hamiltonian Systems
BY YUAN GONG SUN AND FANWEI MENG 319
The Arc Length of the Lemniscate |wn+c| = 1
BY CHUNJIE WANG AND LIZHONG PENG 337
Cyclic Vectors in the Bloch Spaces
SHANLI YE 349
An Implicit Function Theorem
BY I.V. ZHURAVLEV, A . Y U . IGUMNOV
AND V.M. MIKLYUKOV 357