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Rocky Mountain Journal of Mathematics
VOL. 43 · NO. 5 | 2013
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 43, no. 5, (2013)
Rocky Mountain J. Math. 43 (5), (2013) Open Access
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Articles
Minimal prime ideals and cycles in annihilating-ideal graphs
G. Aalipour, S. Akbari, R. Nikandish, M.J. Nikmehr, F. Shaveisi
Rocky Mountain J. Math. 43 (5), 1415-1425, (2013) DOI: 10.1216/RMJ-2013-43-5-1415 Open Access
KEYWORDS: Annihilating-ideal graph, Bipartite graph, minimal prime ideal, cycle, 05C05, 05C69, 11R44, 13E10
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Robust stability of delay equations in $L^{p}([-h,0];X)$ under parameter perturbations
Bui The Anh, Bui The Quan
Rocky Mountain J. Math. 43 (5), 1427-1449, (2013) DOI: 10.1216/RMJ-2013-43-5-1427 Open Access
KEYWORDS: perturbation, stability radius, C 0-semigroup, Delay equation
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Taketa's theorem for relative character degrees
Kamal Aziziheris
Rocky Mountain J. Math. 43 (5), 1451-1457, (2013) DOI: 10.1216/RMJ-2013-43-5-1451 Open Access
KEYWORDS: 20C15
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Enumerating quasiplatonic cyclic group actions
Robert Benim, Aaron Wootton
Rocky Mountain J. Math. 43 (5), 1459-1480, (2013) DOI: 10.1216/RMJ-2013-43-5-1459 Open Access
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A constructive proof of the Bishop-Phelps-Bollobáas theorem for the space $C(K)$
Antonia E. Cardwell
Rocky Mountain J. Math. 43 (5), 1481-1488, (2013) DOI: 10.1216/RMJ-2013-43-5-1481 Open Access
KEYWORDS: Bishop-Phelps theorem, norm-attaining functionals, 46B20, 46B28
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Sharp inequalities involving the power mean and complete elliptic integral of the first kind
Y.M. Chu, S.L. Qiu, M.K. Wang
Rocky Mountain J. Math. 43 (5), 1489-1496, (2013) DOI: 10.1216/RMJ-2013-43-5-1489 Open Access
KEYWORDS: complete elliptic integrals, power mean, inequality, 33E05, 26E60
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Isospectral measures
Dorin Ervin Dutkay, Palle E.T. Jorgensen
Rocky Mountain J. Math. 43 (5), 1497-1512, (2013) DOI: 10.1216/RMJ-2013-43-5-1497 Open Access
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Douglas range factorization theorem for regular operators on Hilbert $C^{*}$-modules
Marzieh Forough, Assadollah Niknam
Rocky Mountain J. Math. 43 (5), 1513-1520, (2013) DOI: 10.1216/RMJ-2013-43-5-1513 Open Access
KEYWORDS: Hilbert $C^{*}$-modules, regular operators, range factorization, 47F05, 46L06
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Existence of nonoscillatory solutions to second-order nonlinear neutral dynamic equations on time scales
Jin Gao, Qiru Wang
Rocky Mountain J. Math. 43 (5), 1521-1535, (2013) DOI: 10.1216/RMJ-2013-43-5-1521 Open Access
KEYWORDS: Second-order nonlinear neutral dynamic equations, Time scales, nonoscillatory solutions, existence, Kranoselskii's fixed point theorem, 34N05, 34K40, 39A13
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The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface
I. Gelbukh
Rocky Mountain J. Math. 43 (5), 1537-1552, (2013) DOI: 10.1216/RMJ-2013-43-5-1537 Open Access
KEYWORDS: surface, Morse form foliation, number of minimal components, 57R30, 58K65
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Vector-valued tree martingales
Tong-Jun He, Quan Yi, Yi Shen
Rocky Mountain J. Math. 43 (5), 1553-1581, (2013) DOI: 10.1216/RMJ-2013-43-5-1553 Open Access
KEYWORDS: tree, martingale, Quadratic Variation, $q$-uniformly convex space, 60G46, 60G50
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Uniqueness of hyperspaces for Peano continua
Rodrigo Hernández-Gutiérrez, Alejandro Illanes, Verónica Martínez-De-La-Vega
Rocky Mountain J. Math. 43 (5), 1583-1624, (2013) DOI: 10.1216/RMJ-2013-43-5-1583 Open Access
KEYWORDS: Almost meshed, continuum, dendrite, hyperspace, local dendrite, meshed, unique hyperspace, Peano continuum
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Some new results on the Fejér and Hermite-Hadamard inequalities
Vu Nhat Huy, Quô´c-Anh Ngô
Rocky Mountain J. Math. 43 (5), 1625-1636, (2013) DOI: 10.1216/RMJ-2013-43-5-1625 Open Access
KEYWORDS: integral inequality, Fejér, Hermite-Hadamard
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Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of Cima chemical reactions
Jiayin Jin, Junping Shi, Junjie Wei, Fengqi Yi
Rocky Mountain J. Math. 43 (5), 1637-1674, (2013) DOI: 10.1216/RMJ-2013-43-5-1637 Open Access
KEYWORDS: Lengyel-Epstein chemical reaction, reaction-diffusion system, Hopf bifurcation, steady state bifurcation, spatially non-homogeneous periodic orbits, global bifurcation, 35K57, 35B32, 37G15, 35B10, 92E20, 80A32, 92B05
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Carathéodory-type results for the sums and unions of convex sets
Jim Lawrence, Valeriu Soltan
Rocky Mountain J. Math. 43 (5), 1675-1688, (2013) DOI: 10.1216/RMJ-2013-43-5-1675 Open Access
KEYWORDS: convex, set, body, polytope, polyhedron, Carathéodory, sum, union, 52A20
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Perfect quadrilateral right prisms
Allan J. Macleod
Rocky Mountain J. Math. 43 (5), 1689-1705, (2013) DOI: 10.1216/RMJ-2013-43-5-1689 Open Access
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Moser's mathemagical work on the equation $1^k+2^k+\cdots+(m-1)^k=m^k$
Pieter Moree
Rocky Mountain J. Math. 43 (5), 1707-1737, (2013) DOI: 10.1216/RMJ-2013-43-5-1707 Open Access
KEYWORDS: 11D61, 11A07
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On the pathwise uniqueness of stochastic partial differential equations with non-Lipschitz coefficients
Defei Zhang, Ping He
Rocky Mountain J. Math. 43 (5), 1739-1746, (2013) DOI: 10.1216/RMJ-2013-43-5-1739 Open Access
KEYWORDS: backward doubly stochastic differential equations, Stochastic partial differential equations, Pathwise uniqueness, non-Lipschitz coefficients, 60H10, 60H20
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