Volume 43 Issue 4 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 43 · NO. 4 | 2013

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 43, no. 4, (2013)

Rocky Mountain J. Math. 43 (4), (2013) Open Access

No abstract available

Articles

Solutions and multiple solutions for second order periodic systems with a nonsmooth potential

Giuseppina Barletta, Nikolaos S. Papageorgiou

Rocky Mountain J. Math. 43 (4), 1059-1075, (2013) DOI: 10.1216/RMJ-2013-43-4-1059 Open Access

KEYWORDS: Locally Lipschitz potential, generalized subdifferential, $PS_c$-condition, second deformation theorem, linking sets, multiple nontrivial solutions, 34C25

No abstract available

Multiplicities for arbitrary modules and reduction

R. Callejas-Bedregal, V.H. Jorge Pérez

Rocky Mountain J. Math. 43 (4), 1077-1113, (2013) DOI: 10.1216/RMJ-2013-43-4-1077 Open Access

KEYWORDS: integral closure, multiplicity sequence, 13H15, 13B21, 32S15

No abstract available

Multipliers on $L^p$-spaces for hypergroups

Sina Degenfeld-Schonburg, Rupert Lasser

Rocky Mountain J. Math. 43 (4), 1115-1139, (2013) DOI: 10.1216/RMJ-2013-43-4-1115 Open Access

KEYWORDS: Hypergroups‎, Multiplier, Fourier-Stieltjes transform, 43A22, 43A62, 43A15

No abstract available

Multiplier sequences for generalized Laguerre bases

Tamás Forgács, Andrzej Piotrowski

Rocky Mountain J. Math. 43 (4), 1141-1159, (2013) DOI: 10.1216/RMJ-2013-43-4-1141 Open Access

No abstract available

Existence and uniqueness of positive solutions for fourth-order $m$-point boundary value problems with two parameters

Xinan Hao, Naiwei Xu, Lishan Liu

Rocky Mountain J. Math. 43 (4), 1161-1180, (2013) DOI: 10.1216/RMJ-2013-43-4-1161 Open Access

KEYWORDS: Multipoint boundary value problem, positive solution, fixed point, cone, uniqueness, 34B10, 34B18

No abstract available

Differentiability with respect to initial functions for partial functional differential equations with unbounded delay

Danuta Jaruszewska-Walczak

Rocky Mountain J. Math. 43 (4), 1181-1206, (2013) DOI: 10.1216/RMJ-2013-43-4-1181 Open Access

KEYWORDS: Differential functional almost linear equations, Cauchy problem, phase spaces, Hale operator, classical solutions, successive approximations, global existence of solutions, continuous and differentiable dependence on initial functions, 35R10, 35F55, 35B30

No abstract available

Projective total graphs of commutative rings

Kazem Khashyarmanesh, Mahdi Reza Khorsandi

Rocky Mountain J. Math. 43 (4), 1207-1213, (2013) DOI: 10.1216/RMJ-2013-43-4-1207 Open Access

KEYWORDS: Total graph, projective graph, crosscap number, zerodivisor graph, 13M05, 05C10, 05C25

No abstract available

The strong law of large numbers for linear random fields generated by negatively associated random variables on $Z^d$

Mi-Hwa Ko

Rocky Mountain J. Math. 43 (4), 1215-1225, (2013) DOI: 10.1216/RMJ-2013-43-4-1215 Open Access

KEYWORDS: negative association, Random field, Strong law of large numbers, Beveridge-Nelson decomposition, linear random field, 60F10, 60F15, 60G60

No abstract available

The convolution ring of arithmetic functions and symmetric polynomials

Huilan Li, Trueman Machenry

Rocky Mountain J. Math. 43 (4), 1227-1259, (2013) DOI: 10.1216/RMJ-2013-43-4-1227 Open Access

KEYWORDS: Arithmetic functions, multiplicative functions, additive functions, symmetric polynomials, isobaric polynomials, generalized Fibonacci polynomials, generalized Lucas polynomials, 11B39, 11B75, 11N99, 11P99, 05E05

No abstract available

Global dynamics for a higher order rational difference equation

Xianyi Li, Li Zhou

Rocky Mountain J. Math. 43 (4), 1261-1280, (2013) DOI: 10.1216/RMJ-2013-43-4-1261 Open Access

KEYWORDS: Rational difference equation, existence of period two solution, global asymptotic stability, non-oscillatory solution, inclusion theorem, 39A10

No abstract available

Infinitely many periodic solutions for asymptotically linear Hamiltonian systems

Shiwang Ma

Rocky Mountain J. Math. 43 (4), 1281-1315, (2013) DOI: 10.1216/RMJ-2013-43-4-1281 Open Access

KEYWORDS: periodic solution, asymptotically linear Hamiltonian system, minimax technique, 34B15, 34B18, 34C25

No abstract available

Twist points of a Jordan domain

John Marafino

Rocky Mountain J. Math. 43 (4), 1317-1323, (2013) DOI: 10.1216/RMJ-2013-43-4-1317 Open Access

KEYWORDS: 30D40, 30C35

No abstract available

Trace forms and ideals on commutative algebras satisfying an identity of degree four

Carlos Rojas-Bruna

Rocky Mountain J. Math. 43 (4), 1325-1336, (2013) DOI: 10.1216/RMJ-2013-43-4-1325 Open Access

No abstract available

Characterizations of Hilbert space and the Vidav-Palmer theorem

Philip G. Spain

Rocky Mountain J. Math. 43 (4), 1337-1354, (2013) DOI: 10.1216/RMJ-2013-43-4-1337 Open Access

No abstract available

On $(D_{12})$-modules

Derya Keskin Tütüncü, Rachid Tribak

Rocky Mountain J. Math. 43 (4), 1355-1373, (2013) DOI: 10.1216/RMJ-2013-43-4-1355 Open Access

KEYWORDS: $(D_{12})$-modules, completely $(D_{12})$-modules, local modules, 16D10, 16D99

No abstract available

On limiting behavior for arrays of rowwise linearly negative quadrant dependent random variables

Yong-Feng Wu

Rocky Mountain J. Math. 43 (4), 1375-1394, (2013) DOI: 10.1216/RMJ-2013-43-4-1375 Open Access

KEYWORDS: Linearly negative quadrant dependent random variable, complete convergence, complete moment convergence, convergence in probability, mean convergence, 60F05, 60F15, 60F25

No abstract available

Precise large deviations for dependent random variables with applications to the compound renewal risk model

Yang Yang, Kaiyong Wang

Rocky Mountain J. Math. 43 (4), 1395-1414, (2013) DOI: 10.1216/RMJ-2013-43-4-1395 Open Access

KEYWORDS: precise large deviations, extended negative dependence, dominated variation, compound renewal risk model, finite-time ruin probability, 60F10, 62E20, 62P05

No abstract available

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