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Rocky Mountain Journal of Mathematics
VOL. 36 · NO. 1 | 2006
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 36, no. 1, (2006)
Rocky Mountain J. Math. 36 (1), (2006) Open Access
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Articles
Weakly Krull and Related Domains of the Form $D\!+\!M$, $A\!+\!XB[X]$ AND $A\!+\!X^2B[X]$
David F. Anderson, Gyu Whan Chang, Jeanam Park
Rocky Mountain J. Math. 36 (1), 1-22, (2006) DOI: 10.1216/rmjm/1181069485 Open Access
KEYWORDS: 13A15, 13B25, 13G05
No abstract available
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Bounded Solutions of Third Order Nonlinear Difference Equations
Anna Andruch-Sobiło, Mał gorzata Migda
Rocky Mountain J. Math. 36 (1), 23-34, (2006) DOI: 10.1216/rmjm/1181069486 Open Access
KEYWORDS: bounded solutions, oscillatory solutions, nonoscillatory solutions, quickly oscillatory solutions
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On the Goldbach Conjecture in Arithmetic Progressions
Claus Bauer, Wang Yonghui
Rocky Mountain J. Math. 36 (1), 35-66, (2006) DOI: 10.1216/rmjm/1181069487 Open Access
KEYWORDS: 11P32, 11L07
No abstract available
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Linear Preservers for Sylvester and Frobenius Bounds on Matrix Rank
Leroy B. Beasley, Alexander E. Guterman, Cora L. Neal
Rocky Mountain J. Math. 36 (1), 67-80, (2006) DOI: 10.1216/rmjm/1181069488 Open Access
KEYWORDS: Rank inequalities, linear preserver, $(U,V)$-operator, 15A
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Positive Integers Whose Euler Function Is a Power of Their Kernel Function
J.-M. De Koninck, F. Luca, A. Sankaranarayanan
Rocky Mountain J. Math. 36 (1), 81-96, (2006) DOI: 10.1216/rmjm/1181069489 Open Access
No abstract available
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Multiple Positive Solutions for Elliptic Boundary Value Problems
Pavel Drábek, Stephen B. Robinson
Rocky Mountain J. Math. 36 (1), 97-113, (2006) DOI: 10.1216/rmjm/1181069490 Open Access
KEYWORDS: 34B18, 35J65
No abstract available
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A Qualitative Analysis on Nonconstant Graininess of the Adaptive Grids via Time Scales
P.W. Eloe, S. Hilger, Q. Sheng
Rocky Mountain J. Math. 36 (1), 115-133, (2006) DOI: 10.1216/rmjm/1181069491 Open Access
KEYWORDS: Dynamic and differential equations, adaptive method, nonconstant graininess, Time scales, delta and nabla derivatives, Green's functions, 34B10, 35K60, 35K65, 65M06, 39A10
No abstract available
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Existence of Solutions for the Barotropic-Vorticity Equation in an Unbounded Domain
B. Emamizadeh, F. Bahrami
Rocky Mountain J. Math. 36 (1), 135-147, (2006) DOI: 10.1216/rmjm/1181069492 Open Access
KEYWORDS: rearrangements, vortices, variational problems, semilinear elliptic equation, Barotropic vorticity equation, 35Q35, 76B47, 76M30
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A Telescoping Principle for Oscillation of Second Order Differential Equations on a Time Scale
Lynn Erbe, Lingju Kong, Qingkai Kong
Rocky Mountain J. Math. 36 (1), 149-181, (2006) DOI: 10.1216/rmjm/1181069493 Open Access
KEYWORDS: Time scales, ‎oscillation‎, Riccati equation, telescoping principle, 34B10, 39A10
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On Twisted Subgroups and Bol Loops of Odd Order
Tuval Foguel, Michael K. Kinyon, J.D. Phillips
Rocky Mountain J. Math. 36 (1), 183-212, (2006) DOI: 10.1216/rmjm/1181069494 Open Access
KEYWORDS: Bol loop, twisted subgroup, 20N05
No abstract available
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On the Classification Theorems of Almost-Hermitian or Homogeneous Kähler Structures
P. Fortuny, P.M. Gadea
Rocky Mountain J. Math. 36 (1), 213-223, (2006) DOI: 10.1216/rmjm/1181069495 Open Access
No abstract available
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New Congruences for Odd Perfect Numbers
Luis H. Gallardo, Olivier Rahavandrainy
Rocky Mountain J. Math. 36 (1), 225-235, (2006) DOI: 10.1216/rmjm/1181069496 Open Access
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Representations and Interpolations of Weighted Harmonic Bergman Functions
Kyesook Nam
Rocky Mountain J. Math. 36 (1), 237-263, (2006) DOI: 10.1216/rmjm/1181069497 Open Access
KEYWORDS: 31B05, 31B10, 30D45, 30D55
No abstract available
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The Divergence-Free Jacobian Conjecture in Dimension Two
J.W. Neuberger
Rocky Mountain J. Math. 36 (1), 265-271, (2006) DOI: 10.1216/rmjm/1181069498 Open Access
KEYWORDS: Jacobian conjecture, divergence-free, 14R15
No abstract available
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Approximation of Invariant Measures for Random Iterations
Anders Öberg
Rocky Mountain J. Math. 36 (1), 273-301, (2006) DOI: 10.1216/rmjm/1181069499 Open Access
KEYWORDS: iterated function system, uniqueness of invariant measure, open set condition, 60B10, 28A80, 37A30, 60J05
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Differential Inequalities and Criteria for Starlike and Univalent Functions
M. Obradović, S. Ponnusamy, V. Singh, P. Vasundhra
Rocky Mountain J. Math. 36 (1), 303-317, (2006) DOI: 10.1216/rmjm/1181069500 Open Access
KEYWORDS: Univalent, starlike and convex functions, Hadamard product and subordination, 30C45, 30C55
No abstract available
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Oscillation Results for Linear Matrix Hamiltonian Systems
Yuan Gong Sun, Fanwei Meng
Rocky Mountain J. Math. 36 (1), 319-336, (2006) DOI: 10.1216/rmjm/1181069501 Open Access
KEYWORDS: ‎oscillation‎, linear, matrix Hamiltonian system, 34A30, 34C10
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The Arc Length of the Lemniscate $\left|w^n\!+\!c\right|=1$
Chunjie Wang, Lizhong Peng
Rocky Mountain J. Math. 36 (1), 337-347, (2006) DOI: 10.1216/rmjm/1181069502 Open Access
KEYWORDS: Arc length, ‎lemniscate‎, 31A15, 26D05
No abstract available
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Cyclic Vectors in the $\alpha$-Bloch Spaces Shanli Ye
Rocky Mountain J. Math. 36 (1), 349-356, (2006) DOI: 10.1216/rmjm/1181069503 Open Access
KEYWORDS: cyclic vectors, Bloch space, Analytic function, ‎30H05, 30D45, ‎46E15
No abstract available
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An Implicit Function Theorem
I.V. Zhuravlev, A.Yu. Igumnov, V.M. Miklyukov
Rocky Mountain J. Math. 36 (1), 357-365, (2006) DOI: 10.1216/rmjm/1181069504 Open Access
KEYWORDS: 26B35, 26B10
No abstract available
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