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Rocky Mountain Journal of Mathematics
VOL. 25 · NO. 1 | Winter 1995
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 25, no. 1, (1995)
Rocky Mountain J. Math. 25 (1), (Winter 1995) Open Access
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Editorial
L.H. Erbe, H.I. Freedman
Rocky Mountain J. Math. 25 (1), 1-2, (Winter 1995) Open Access
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List of Participants
Rocky Mountain J. Math. 25 (1), 3-5, (Winter 1995) Open Access
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Articles
Oscillatory Properties of Solutions and Nonlinear Differential Equations with Periodic Boundary Conditions
Jean Mawhin
Rocky Mountain J. Math. 25 (1), 7-37, (Winter 1995) DOI: 10.1216/rmjm/1181072265 Open Access
No abstract available
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On the Eigenvalues and Eigenfunctions of an Interface Sturm-Liouville System
S. Abramovich
Rocky Mountain J. Math. 25 (1), 39-49, (Winter 1995) DOI: 10.1216/rmjm/1181072266 Open Access
No abstract available
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A New Angle on Sturm-Liouville Problems
Paul Binding
Rocky Mountain J. Math. 25 (1), 51-56, (Winter 1995) DOI: 10.1216/rmjm/1181072267 Open Access
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Models for Diseases with Exposed Periods
Fred Brauer
Rocky Mountain J. Math. 25 (1), 57-66, (Winter 1995) DOI: 10.1216/rmjm/1181072268 Open Access
KEYWORDS: epidemic models, exposed period, 92D30, 45M10
No abstract available
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Constant and Periodic Rate Stocking and Harvesting for Kolmogorov-Type Population Interaction Models
J. Robert Buchanan, James F. Selgrade
Rocky Mountain J. Math. 25 (1), 67-85, (Winter 1995) DOI: 10.1216/rmjm/1181072269 Open Access
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Spatially Discrete Nonlinear Diffusion Equations
John W. Cahn, Shui-Nee Chow, Erik S. Van Vleck
Rocky Mountain J. Math. 25 (1), 87-118, (Winter 1995) DOI: 10.1216/rmjm/1181072270 Open Access
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Ultimate Bounds and Global Asymptotic Stability for Differential Delay Equations
Yulin Cao, Thomas C. Gard
Rocky Mountain J. Math. 25 (1), 119-131, (Winter 1995) DOI: 10.1216/rmjm/1181072271 Open Access
KEYWORDS: Differential delay equations, global asymptotic stability, Population dynamics
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Symmetric Periodic Solutions of Rational Recursive Sequences
Yulin Cao, G. Ladas
Rocky Mountain J. Math. 25 (1), 133-143, (Winter 1995) DOI: 10.1216/rmjm/1181072272 Open Access
KEYWORDS: Rational recursive sequence, periodic solution, symmetric solution, symmetric periodic solution, 39A12
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Evolutionary Stability for Two-Stage Hawk-Dove Games
R. Cressman
Rocky Mountain J. Math. 25 (1), 145-154, (Winter 1995) DOI: 10.1216/rmjm/1181072273 Open Access
KEYWORDS: Evolutionarily stable strategies, dynamic stability
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Parameter Dependence, Size and Survivability
Kathleen M. Crowe
Rocky Mountain J. Math. 25 (1), 157-166, (Winter 1995) DOI: 10.1216/rmjm/1181072274 Open Access
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On the Discrete Riccati Equation and Its Applications to Discrete Hamiltonian Systems
Lynn H. Erbe, Pengxiang Yan
Rocky Mountain J. Math. 25 (1), 167-178, (Winter 1995) DOI: 10.1216/rmjm/1181072275 Open Access
KEYWORDS: Discrete Riccati equation, Comparison theorem, autonomous system, disconjugacy, Hamiltonian difference system
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Eigenvalue Asymptotics for a Non-Selfadjoint Elliptic Problem Involving an Indefinite Weight
Melvin Faierman
Rocky Mountain J. Math. 25 (1), 179-187, (Winter 1995) DOI: 10.1216/rmjm/1181072276 Open Access
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Essential Critical Points in Product Manifolds
Gilles Fournier, Lech Górniewicz, Tomasz Kaczynski
Rocky Mountain J. Math. 25 (1), 189-199, (Winter 1995) DOI: 10.1216/rmjm/1181072277 Open Access
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Some Global Qualitative Analyses of a Single Species Neutral Delay Differential Population Model
H.I. Freedman, Yang Kuang
Rocky Mountain J. Math. 25 (1), 201-215, (Winter 1995) DOI: 10.1216/rmjm/1181072278 Open Access
KEYWORDS: Neutral delay differential equation, single species population model, global stability, 34K15, 34K20, 92A15
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Can Mutualism Alter Competitive Outcome?: A Mathematical Analysis
H.I. Freedman, Bindhyachal Rai
Rocky Mountain J. Math. 25 (1), 217-230, (Winter 1995) DOI: 10.1216/rmjm/1181072279 Open Access
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On the Behavior of Some Explicit Solutions of the Harmonic Maps Equation
A.M. Grundland, M. Kovalyov, M. Sussman
Rocky Mountain J. Math. 25 (1), 231-247, (Winter 1995) DOI: 10.1216/rmjm/1181072280 Open Access
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On An $L^1$-Forced Autonomous Duffing's Equation with Periodic Boundary Conditions in the Presence of Damping
Chaitan P. Gupta
Rocky Mountain J. Math. 25 (1), 249-260, (Winter 1995) DOI: 10.1216/rmjm/1181072281 Open Access
KEYWORDS: Duffing's equation, Damping, acyclic set, Lipschitz continuous, 34B15, 24C25, 47H15
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Liapunov-Razumikhin Functions and an Instability Theorem for Autonomous Functional Differential Equations with Finite Delay
John R. Haddock, Younhee Ko
Rocky Mountain J. Math. 25 (1), 261-267, (Winter 1995) DOI: 10.1216/rmjm/1181072282 Open Access
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Hierarchically Structured Branching Populations with Spatial Motion
Kenneth J. Hochberg
Rocky Mountain J. Math. 25 (1), 269-283, (Winter 1995) DOI: 10.1216/rmjm/1181072283 Open Access
KEYWORDS: Measure-valued process, Superprocess, branching process, diffusion process, multilevel process, Hausdorff dimension, 60G57, 60J80
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On Bifurcation and Existence of Positive Solutions for a Certain $p$-Laplacian System
Yin Xi Huang, Joseph W.-H. So
Rocky Mountain J. Math. 25 (1), 285-297, (Winter 1995) DOI: 10.1216/rmjm/1181072284 Open Access
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On the Stability of a Wavetrain Caused by Interacting Wave Modes
M.C.W. Jones
Rocky Mountain J. Math. 25 (1), 299-313, (Winter 1995) DOI: 10.1216/rmjm/1181072285 Open Access
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Stability Property and Phase Space
Junji Kato
Rocky Mountain J. Math. 25 (1), 315-338, (Winter 1995) DOI: 10.1216/rmjm/1181072286 Open Access
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Oscillatory and Asymptotic Behavior of a Discrete Logistic Model
Q. Kong
Rocky Mountain J. Math. 25 (1), 339-349, (Winter 1995) DOI: 10.1216/rmjm/1181072287 Open Access
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Bendixson's Criterion for Autonomous Systems with an Invariant Linear Subspace
Michael Y. Li
Rocky Mountain J. Math. 25 (1), 351-363, (Winter 1995) DOI: 10.1216/rmjm/1181072288 Open Access
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On R.A. Smith's Autonomous Convergence Theorem
Michael Y. Li, James S. Muldowney
Rocky Mountain J. Math. 25 (1), 365-378, (Winter 1995) DOI: 10.1216/rmjm/1181072289 Open Access
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Impulsive Stabilization and Applications to Population Growth Models
Xinzhi Liu
Rocky Mountain J. Math. 25 (1), 381-395, (Winter 1995) DOI: 10.1216/rmjm/1181072290 Open Access
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Qualitative Analysis of Nonlinear Systems by the Method of Matrix Lyapunov Functions
A.A. Martynyuk
Rocky Mountain J. Math. 25 (1), 397-415, (Winter 1995) DOI: 10.1216/rmjm/1181072291 Open Access
KEYWORDS: nonlinear systems, matrix Lyapunov function, stability, 34D20
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The Structure and Evolution of Competition-Organized Ecological Communities
Robert McKelvey, Joseph Apaloo
Rocky Mountain J. Math. 25 (1), 417-436, (Winter 1995) DOI: 10.1216/rmjm/1181072292 Open Access
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A Counter-Example in the Theory of Almost Periodic Differential Equations
A.B. Mingarelli, F.Q. Pu, L. Zheng
Rocky Mountain J. Math. 25 (1), 437-440, (Winter 1995) DOI: 10.1216/rmjm/1181072293 Open Access
KEYWORDS: almost periodic, 34C10
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The Cauchy Function for $n$th Order Linear Difference Equations
Allan Peterson, John Schneider
Rocky Mountain J. Math. 25 (1), 441-457, (Winter 1995) DOI: 10.1216/rmjm/1181072294 Open Access
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Uniform Persistence in Reaction-Diffusion Plankton Models
Shigui Ruan
Rocky Mountain J. Math. 25 (1), 459-470, (Winter 1995) DOI: 10.1216/rmjm/1181072295 Open Access
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Stability of Random Matrix Models
Micheline A. Schreiber, Harold M. Hastings
Rocky Mountain J. Math. 25 (1), 471-478, (Winter 1995) DOI: 10.1216/rmjm/1181072296 Open Access
KEYWORDS: 60F99, 92A17, 15A52, 15A60, 60H25
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The S-C-L Graph in Chemical Kinetics
D. Siegel, Y.F. Chen
Rocky Mountain J. Math. 25 (1), 479-489, (Winter 1995) DOI: 10.1216/rmjm/1181072297 Open Access
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Equivalent Dynamics for a Structured Population Model and a Related Functional Differential Equation
Hal L. Smith
Rocky Mountain J. Math. 25 (1), 491-499, (Winter 1995) DOI: 10.1216/rmjm/1181072298 Open Access
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Spatially Nontemperate Pseudodifferential Operators, Sphere Extensions and Fredholm Theory
Houshang H. Sohrab
Rocky Mountain J. Math. 25 (1), 501-514, (Winter 1995) DOI: 10.1216/rmjm/1181072299 Open Access
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Interaction in a Chemostat: Introduction of a Competitor Can Promote Greater Diversity
Gail S.K. Wolkowicz, Mary M. Ballyk, Spiro P. Daoussis
Rocky Mountain J. Math. 25 (1), 515-543, (Winter 1995) DOI: 10.1216/rmjm/1181072300 Open Access
KEYWORDS: Population dynamics, ecology, chemostat, competition, predation, invasion, paradox of enrichment
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The Effect of Delay and Diffusion on Spontaneous Symmetry Breaking in Functional Differential Equations
Jianhong Wu
Rocky Mountain J. Math. 25 (1), 545-556, (Winter 1995) DOI: 10.1216/rmjm/1181072301 Open Access
KEYWORDS: 34K15, 92E20
No abstract available
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Oscillations of Higher Order Neutral Differential Equations
B.G. Zhang, J.S. Yu, Z.C. Wang
Rocky Mountain J. Math. 25 (1), 557-568, (Winter 1995) DOI: 10.1216/rmjm/1181072302 Open Access
KEYWORDS: Neutral differential equations, ‎oscillation‎, Comparison theorem, 34K15, 34C10
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