Volume 43 Issue 5 | Rocky Mountain Journal of Mathematics

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)

No abstract available

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

KEYWORDS: Annihilating-ideal graph, Bipartite graph, minimal prime ideal, cycle, 05C05, 05C69, 11R44, 13E10

No abstract available

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

KEYWORDS: perturbation, stability radius, C 0-semigroup, Delay equation

No abstract available

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

KEYWORDS: 20C15

No abstract available

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

No abstract available

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

KEYWORDS: Bishop-Phelps theorem, norm-attaining functionals, 46B20, 46B28

No abstract available

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

KEYWORDS: complete elliptic integrals, power mean, inequality, 33E05, 26E60

No abstract available

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

No abstract available

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

KEYWORDS: Hilbert $C^{*}$-modules, regular operators, range factorization, 47F05, 46L06

No abstract available

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

KEYWORDS: Second-order nonlinear neutral dynamic equations, Time scales, nonoscillatory solutions, existence, Kranoselskii's fixed point theorem, 34N05, 34K40, 39A13

No abstract available

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

KEYWORDS: surface, Morse form foliation, number of minimal components, 57R30, 58K65

No abstract available

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

KEYWORDS: tree, martingale, Quadratic Variation, $q$-uniformly convex space, 60G46, 60G50

No abstract available

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

KEYWORDS: Almost meshed, continuum, dendrite, hyperspace, local dendrite, meshed, unique hyperspace, Peano continuum

No abstract available

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

KEYWORDS: integral inequality, Fejér, Hermite-Hadamard

No abstract available

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

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

No abstract available

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

KEYWORDS: convex, set, body, polytope, polyhedron, Carathéodory, sum, union, 52A20

No abstract available

Perfect quadrilateral right prisms

Allan J. Macleod

Rocky Mountain J. Math. 43 (5), 1689-1705, (2013) DOI: 10.1216/RMJ-2013-43-5-1689

No abstract available

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

KEYWORDS: 11D61, 11A07

No abstract available

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

KEYWORDS: backward doubly stochastic differential equations, Stochastic partial differential equations, Pathwise uniqueness, non-Lipschitz coefficients, 60H10, 60H20

No abstract available

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