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Rocky Mountain Journal of Mathematics
VOL. 38 · NO. 1 | 2008
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 38, no. 1, (2008)
Rocky Mountain J. Math. 38 (1), (2008) Open Access
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Articles
On the Oscillation of First Order Delay Dynamic Equations With Variable Coefficients
H.A. Agwo
Rocky Mountain J. Math. 38 (1), 1-18, (2008) DOI: 10.1216/RMJ-2008-38-1-1 Open Access
KEYWORDS: ‎oscillation‎, Time scales, Delay, dynamic equation, 34C10, 34K11, 39A10, 39A99
No abstract available
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Multiplicity of Positive Solutions for a Mixed Boundary Elliptic System
Claudianor O. Alves
Rocky Mountain J. Math. 38 (1), 19-39, (2008) DOI: 10.1216/RMJ-2008-38-1-19 Open Access
KEYWORDS: elliptic systems, variational methods, LjusternikSchnirelman category, 35A15, 35B30, 35J50
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Composition of Operators in Orlicz Spaces
B. Bongioanni, E. Harboure
Rocky Mountain J. Math. 38 (1), 41-59, (2008) DOI: 10.1216/RMJ-2008-38-1-41 Open Access
KEYWORDS: Orlicz space, interpolation, maximal function, 42B25, 46E30
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Conditional Analytic Feynman Integral over Product Space of Wiener Paths in Abstract Wiener Space
Dong Hyun Cho
Rocky Mountain J. Math. 38 (1), 61-90, (2008) DOI: 10.1216/RMJ-2008-38-1-61 Open Access
KEYWORDS: analytic Feynman integral, analytic Wiener integral, conditional analytic Feynman integral, conditional analytic Wiener integral, simple formula for conditional Wiener integral, 28C20
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Trigonometric Splines with Variable Shape Parameter
N. Choubey, A. Ojha
Rocky Mountain J. Math. 38 (1), 91-105, (2008) DOI: 10.1216/RMJ-2008-38-1-91 Open Access
KEYWORDS: Trigonometric spline curves, variable shape parameter, interpolation, approximability, rational trigonometric splines
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On the Upward Embedding on the Torus
Ardeshir Dolati, S. Mehdi Hashemi, Masoud Khosravani
Rocky Mountain J. Math. 38 (1), 107-121, (2008) DOI: 10.1216/RMJ-2008-38-1-107 Open Access
KEYWORDS: graph embedding, Torus, ‎digraph‎, algorithm
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When is Betweenness Preserved?
Xiang-Dong Hou, Gregory Mccolm
Rocky Mountain J. Math. 38 (1), 123-137, (2008) DOI: 10.1216/RMJ-2008-38-1-123 Open Access
KEYWORDS: Archimedean field, affine transformation, betweenness, ordered field, real analysis, injections on vector spaces, 26B99, 51N10
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On Multi-Dimensional SDEs with Locally Integrable Coefficients
V.P. Kurenok, A.N. Lepeyev
Rocky Mountain J. Math. 38 (1), 139-174, (2008) DOI: 10.1216/RMJ-2008-38-1-139 Open Access
KEYWORDS: Multi-dimensional stochastic differential equations, locally integrable coefficients, Krylov's estimates, Wiener process, weak convergence, 60H10, 60J60, 60J65, 60G44
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An Overview of Graphs Associated with Character Degrees And Conjugacy Class Sizes in Finite Groups
Mark L. Lewis
Rocky Mountain J. Math. 38 (1), 175-211, (2008) DOI: 10.1216/RMJ-2008-38-1-175 Open Access
KEYWORDS: 20C15, 20E45, 05C25
No abstract available
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Numerical Index of Banach Spaces of Weakly or Weakly-Star Continuous Functions
Ginés López, Miguel Martín, Javier Merí
Rocky Mountain J. Math. 38 (1), 213-223, (2008) DOI: 10.1216/RMJ-2008-38-1-213 Open Access
KEYWORDS: numerical range, numerical radius, numerical index, weakly continuous functions, 46B20, 46E40, 47A12
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On Recurrence Relations for the Extensions of Euler Sums
Yao Lin Ong, Minking Eie
Rocky Mountain J. Math. 38 (1), 225-251, (2008) DOI: 10.1216/RMJ-2008-38-1-225 Open Access
KEYWORDS: Euler sums, Bernoulli polynomials, Hurwitz zeta function, 11M06, 11B68, 11M35
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Integral and Nuclear Operators on the Space $C(\Omega,c_0)$
Dumitru Popa
Rocky Mountain J. Math. 38 (1), 253-265, (2008) DOI: 10.1216/RMJ-2008-38-1-253 Open Access
KEYWORDS: Banach spaces of continuous functions, Tensor products, operator ideals, $p$-summing operators, 46B28, 47A80, 47B10
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Flat Epimorphisms and a Generalized Kaplansky Ideal Transform
Jay Shapiro
Rocky Mountain J. Math. 38 (1), 267-289, (2008) DOI: 10.1216/RMJ-2008-38-1-267 Open Access
KEYWORDS: 13B30, 13B10, 13A10, 13C11
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A Family of the Functional Epsilon Algorithms for Accelerating Convergence
R. Thukral
Rocky Mountain J. Math. 38 (1), 291-307, (2008) DOI: 10.1216/RMJ-2008-38-1-291 Open Access
KEYWORDS: Modified functional epsilon algorithm, enhanced functional epsilon algorithm, improved functional epsilon algorithm, classical functional epsilon algorithm, Convergence acceleration, Neumann series, 65D15
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Second-Order Sturm-Liouville Boundary Value Problem Involving the One-Dimensional $p$-Laplacian
Yu Tian, Weigao Ge
Rocky Mountain J. Math. 38 (1), 309-327, (2008) DOI: 10.1216/RMJ-2008-38-1-309 Open Access
KEYWORDS: critical point, Second-order Sturm-Liouville boundary value problem, $p$-Laplacian, three solutions, 34C25, 34B15
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$Q_K$ Spaces Via Higher Order Derivatives
Hasi Wulan, Kehe Zhu
Rocky Mountain J. Math. 38 (1), 329-350, (2008) DOI: 10.1216/RMJ-2008-38-1-329 Open Access
KEYWORDS: ‎30H05, ‎46E15
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The Characterization of Moore-Penrose Inverse Module Maps and their Continuity
Lunchuan Zhang
Rocky Mountain J. Math. 38 (1), 351-357, (2008) DOI: 10.1216/RMJ-2008-38-1-351 Open Access
KEYWORDS: 47L05, 46C50
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