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Rocky Mountain Journal of Mathematics
VOL. 41 · NO. 3 | 2011
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 41, no. 3, (2011)
Rocky Mountain J. Math. 41 (3), (2011) Open Access
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Articles
Survey Article: A user's guide to Bellman functions
Janine Wittwer
Rocky Mountain J. Math. 41 (3), 631-661, (2011) DOI: 10.1216/RMJ-2011-41-3-631 Open Access
No abstract available
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On a general theory of factorization in integral domains
D.D. Anderson, Andrea M. Frazier
Rocky Mountain J. Math. 41 (3), 663-705, (2011) DOI: 10.1216/RMJ-2011-41-3-663 Open Access
KEYWORDS: factorization, $\tau$-factorization, comaximal factorization, 13A05, 13G05, 13F15, 13E99
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On Kronecker polynomials
Ahmed Ayache, Othman Echi, Mongi Naimi
Rocky Mountain J. Math. 41 (3), 707-725, (2011) DOI: 10.1216/RMJ-2011-41-3-707 Open Access
KEYWORDS: Euler totient function, cyclotomic polynomial, prime number, reciprocal polynomial, zeros on the unit circle, 11A41, 11A51, 11C08, 12D05
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Surjective linear maps preserving certain spectral radii
M. Bendaoud, M. Sarih
Rocky Mountain J. Math. 41 (3), 727-735, (2011) DOI: 10.1216/RMJ-2011-41-3-727 Open Access
KEYWORDS: Local spectral radius, inner local spectral radius, linear preserver problems, 47B49, 47A10, 47A11
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Equal sums of like powers, both positive and negative
Ajai Choudhry
Rocky Mountain J. Math. 41 (3), 737-763, (2011) DOI: 10.1216/RMJ-2011-41-3-737 Open Access
KEYWORDS: Equal sums of powers, multigrade equations, multigrade chains, 11D41, 11D72
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An equation related to two-sided centralizers in prime rings
Maja Fošner, Joso Vukman
Rocky Mountain J. Math. 41 (3), 765-776, (2011) DOI: 10.1216/RMJ-2011-41-3-765 Open Access
KEYWORDS: Prime ring, functional identity, two-sided centralizer, 16N60, 39B05
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A note on Morita equivalence of group actions on pro-$C*$- algebras
Maria Joiţa
Rocky Mountain J. Math. 41 (3), 777-788, (2011) DOI: 10.1216/RMJ-2011-41-3-777 Open Access
KEYWORDS: Pro-$C*$-algebra, Hilbert module over pro-$C*$-algebra, group action, inverse limit group action, 46L08, 46L05, 46L55
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Isomorphism between Morse and Lagrangian Floer cohomol- ogy rings
Jelena Katić, Darko Milinković, Tatjana Simčević
Rocky Mountain J. Math. 41 (3), 789-811, (2011) DOI: 10.1216/RMJ-2011-41-3-789 Open Access
KEYWORDS: Floer homology, Morse homology, lagrangian intersections, cup product, 53D40, 57R58, 53D05, 53D12, 55N45
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Elliptical range theorems for generalized numerical ranges of quadratic operators
Chi-Kwong Li, Yiu-Tung Poon, Nung-Sing Sze
Rocky Mountain J. Math. 41 (3), 813-832, (2011) DOI: 10.1216/RMJ-2011-41-3-813 Open Access
KEYWORDS: Quadratic operators, elliptical ranges, generalized numerical ranges, Davis-Wielandt shells, 47A12, 15A60
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Oscillation of nonlinear impulsive parabolic differential equations of neutral type
Anping Liu, Ting Liu, Min Zou
Rocky Mountain J. Math. 41 (3), 833-850, (2011) DOI: 10.1216/RMJ-2011-41-3-833 Open Access
KEYWORDS: impulse, Delay, parabolic differential equation, ‎oscillation‎, neutral, 35K55, 35R12, 35R10
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Selection theorems and minimal mappings in a cluster setting
Milan Matejdes
Rocky Mountain J. Math. 41 (3), 851-867, (2011) DOI: 10.1216/RMJ-2011-41-3-851 Open Access
KEYWORDS: Minimal multifunction, selection, quasi continuity, cluster set, closed graph, ‎54C60‎, 54C65, 26E25
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Principal values for the signed Riesz kernels of non-integer dimension
Laura Prat
Rocky Mountain J. Math. 41 (3), 869-883, (2011) DOI: 10.1216/RMJ-2011-41-3-869 Open Access
KEYWORDS: 42B20, 28A75
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Periodic and homoclinic solutions of a class of fourth order equations
Yuanlong Ruan
Rocky Mountain J. Math. 41 (3), 885-907, (2011) DOI: 10.1216/RMJ-2011-41-3-885 Open Access
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Formation control of a swarm of mobile manipulators
Bibhya Sharma, Jito Vanualailai, Avinesh Prasad
Rocky Mountain J. Math. 41 (3), 909-940, (2011) DOI: 10.1216/RMJ-2011-41-3-909 Open Access
KEYWORDS: Mobile manipulators, kinodynamic constraints, lowdegree formation, Lyapunov-based control scheme, minimum distance technique, ghost walls, ghost targets, 34A30, 34D20, 70E60, 93C85, 93D15
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Sum-product phenomenon in finite fields not of prime order
Chun-Yen Shen
Rocky Mountain J. Math. 41 (3), 941-948, (2011) DOI: 10.1216/RMJ-2011-41-3-941 Open Access
KEYWORDS: sum-product estimates, expanding maps, 11B75, 12E20
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Periodicity of delayed reaction-diffusion high-order Cohen- Grossberg neural networks with Dirichlet boundary conditions
Ping Yan, Teng Lv
Rocky Mountain J. Math. 41 (3), 949-970, (2011) DOI: 10.1216/RMJ-2011-41-3-949 Open Access
KEYWORDS: Cohen-Grossberg neural networks, reaction-diffusion terms, Dirichlet boundary condition, Lyapunov functional
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On $\ell_{\psi}$ spaces and infinite $\psi$-direct sums of Banach space
Theodossios Zachariades
Rocky Mountain J. Math. 41 (3), 971-997, (2011) DOI: 10.1216/RMJ-2011-41-3-971 Open Access
KEYWORDS: ‎absolute norm, convex function, direct sum of Banach spaces, uniform convex space, uniform smooth space, uniform non-square space, 46B20, 46B99, 26B25, 52A41
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Regularity and exact controllability for the Timoshenko beam with Piezoelectric actuator
Chun-Guo Zhang
Rocky Mountain J. Math. 41 (3), 999-1010, (2011) DOI: 10.1216/RMJ-2011-41-3-999 Open Access
KEYWORDS: Timoshenko beam, Exact controllability, piezoelectric actuator, Hilbert uniqueness method, diophantine approximation, 35B75, 35B60
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Some optimal elementary inequalities on the unit disc
Renjiang Zhang
Rocky Mountain J. Math. 41 (3), 1011-1023, (2011) DOI: 10.1216/RMJ-2011-41-3-1011 Open Access
KEYWORDS: Analytic inequality, applied inequality, complex trigonometric function
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