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Rocky Mountain Journal of Mathematics
VOL. 42 · NO. 5 | 2012
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 42, no. 5, (2012)
Rocky Mountain J. Math. 42 (5), (2012) Open Access
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Articles
Existence of positive solutions of nonlinear neutral differential equations asymptotic to zero
Beatrix Bačová, Božena Dorociaková, Rudolf Olach
Rocky Mountain J. Math. 42 (5), 1421-1430, (2012) DOI: 10.1216/RMJ-2012-42-5-1421 Open Access
KEYWORDS: neutral differential equation, existence, positive solution, Banach space, 34K40, 34K25
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Reconstruction of the Sturm-Liouville operator on a $p$-star graph with nodal data
Y.H. Cheng
Rocky Mountain J. Math. 42 (5), 1431-1446, (2012) DOI: 10.1216/RMJ-2012-42-5-1431 Open Access
KEYWORDS: Inverse nodal problem, eigenvalue asymptotics, $p$-star graphs, 34A55, 34B24
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Superadditivity and monotonicity of some functionals associated with the Hermite-Hadamard inequality for convex functions in linear spaces
S.S. Dragomir
Rocky Mountain J. Math. 42 (5), 1447-1459, (2012) DOI: 10.1216/RMJ-2012-42-5-1447 Open Access
KEYWORDS: Convex functions, Hermite-Hadamard's inequality, Norms, means, 26D15, 26D10
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Resultants of cyclotomic polynomials
Gregory Dresden
Rocky Mountain J. Math. 42 (5), 1461-1469, (2012) DOI: 10.1216/RMJ-2012-42-5-1461 Open Access
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Gaussian maps for double covers of toric surfaces
Jeanne Duflot, Pamela L. Peters
Rocky Mountain J. Math. 42 (5), 1471-1520, (2012) DOI: 10.1216/RMJ-2012-42-5-1471 Open Access
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Distinguished orbits of reductive groups
M. Jablonski
Rocky Mountain J. Math. 42 (5), 1521-1549, (2012) DOI: 10.1216/RMJ-2012-42-5-1521 Open Access
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Rings whose total graphs have genus at most one
Hamid Reza Maimani, Cameron Wickham, Siamak Yassemi
Rocky Mountain J. Math. 42 (5), 1551-1560, (2012) DOI: 10.1216/RMJ-2012-42-5-1551 Open Access
KEYWORDS: Total graph, genus, planar graph, toroidal graph, 05C75, 13A15
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Subdirect products of $M^*$-groups
Coy L. May, Jay Zimmerman
Rocky Mountain J. Math. 42 (5), 1561-1582, (2012) DOI: 10.1216/RMJ-2012-42-5-1561 Open Access
KEYWORDS: 20D40, 20F38, 20H10, 30F50, 57M60
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Weak associated primes over differential polynomial rings
Lunqun Ouyang, Jinwang Liu
Rocky Mountain J. Math. 42 (5), 1583-1600, (2012) DOI: 10.1216/RMJ-2012-42-5-1583 Open Access
KEYWORDS: Weak annihilator, weak associated prime, weak good polynomial, 16N60, 13B25
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Periodic solutions with singularities in two dimensions in the $n$-body problem
Tiancheng Ouyang, Skyler C. Simmons, Duokui Yan
Rocky Mountain J. Math. 42 (5), 1601-1614, (2012) DOI: 10.1216/RMJ-2012-42-5-1601 Open Access
KEYWORDS: Simultaneous binary collision, $4$-body problem, regularization, singularity, $2n$-body problem, collision singularity, 37N05, 65P99, 70F15, 70F16
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The $p$-harmonic boundary for quasi-isometric graphs and manifolds
Michael J. Puls
Rocky Mountain J. Math. 42 (5), 1615-1632, (2012) DOI: 10.1216/RMJ-2012-42-5-1615 Open Access
KEYWORDS: quasi-isometry, $p$-harmonic boundary, $p$-harmonic function, nets, uniformly bounded graphs, Riemannian manifolds, 60J50, 31C12, 31C20, 43A15, 53C21
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Union spaces and generalized closed sets
David Rose, Adam Trewyn
Rocky Mountain J. Math. 42 (5), 1633-1654, (2012) DOI: 10.1216/RMJ-2012-42-5-1633 Open Access
KEYWORDS: Union structure, ${\cal C}$-$g$-closed set, ${\cal C}$-$T_{{1}/{2}}$ space, ${\cal C}$-$g$-continuous function, ${\cal C}$-$a$-continuous function, 54A05, 54C08, 54D10
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On the existence of solutions for Schrödinger-Maxwell systems in $R^3$
Minbo Yang, Fukun Zhao, Yanheng Ding
Rocky Mountain J. Math. 42 (5), 1655-1674, (2012) DOI: 10.1216/RMJ-2012-42-5-1655 Open Access
KEYWORDS: variational methods, Schrödinger-Maxwell systems, critical points, 35J20, 35J60, 35Q55
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Existence of positive solutions for the $p(x)$-Laplacian equation
Jingxue Yin, Jinkai Li, Yuanyuan Ke
Rocky Mountain J. Math. 42 (5), 1675-1758, (2012) DOI: 10.1216/RMJ-2012-42-5-1675 Open Access
KEYWORDS: $p(x)$-Laplacian equation, $C^{1,\alpha}$ estimates, Harnack inequalities, blow-up argument
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