On the algebraic difference equations <it>u</it><it>n</it>+2<it>u</it><it>n</it> = <it>ψ</it>(<it>u</it><it>n</it>+1) in <inline-formula><graphic file="1687-1847-2005-948567-i1.gif"/></inline-formula>, related to a family of elliptic quartics in the plane

Bibliographic Details
Main Authors:	Rogalski M, Bastien G
Format:	Article
Language:	English
Published:	SpringerOpen 2005-01-01
Series:	Advances in Difference Equations
Online Access:	http://www.advancesindifferenceequations.com/content/2005/948567

Results and Conjectures about Order <inline-formula> <graphic file="1687-1847-2009-134749-i1.gif"/></inline-formula> Lyness' Difference Equation <inline-formula> <graphic file="1687-1847-2009-134749-i2.gif"/></inline-formula> in <inline-formula> <graphic file="1687-1847-2009-134749-i3.gif"/></inline-formula>, with a Particular Study of the Case <inline-formula> <graphic file="1687-1847-2009-134749-i4.gif"/></inline-formula>
by: Rogalski M, et al.
Published: (2009-01-01)

Multiple Twisted <inline-formula> <graphic file="1687-1847-2008-738603-i1.gif"/></inline-formula>-Euler Numbers and Polynomials Associated with <inline-formula> <graphic file="1687-1847-2008-738603-i2.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1687-1847-2008-738603-i3.gif"/></inline-formula>-Integrals
by: Jang Lee-Chae
Published: (2008-01-01)

<inline-formula> <graphic file="1687-1847-2008-815750-i1.gif"/></inline-formula>-Genocchi Numbers and Polynomials Associated with <inline-formula> <graphic file="1687-1847-2008-815750-i2.gif"/></inline-formula>-Genocchi-Type <inline-formula> <graphic file="1687-1847-2008-815750-i3.gif"/></inline-formula>-Functions
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Published: (2008-01-01)

On Boundedness of Solutions of the Difference Equation <inline-formula><graphic file="1687-1847-2009-463169-i1.gif"/></inline-formula> for <inline-formula><graphic file="1687-1847-2009-463169-i2.gif"/></inline-formula>
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Published: (2009-01-01)

<inline-formula> <graphic file="1687-1847-2008-743295-i1.gif"/></inline-formula>-Bernoulli Numbers Associated with <inline-formula> <graphic file="1687-1847-2008-743295-i2.gif"/></inline-formula>-Stirling Numbers
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Published: (2008-01-01)

A New Approach to <inline-formula><graphic file="1687-1847-2010-951764-i1.gif"/></inline-formula>-Bernoulli Numbers and <inline-formula><graphic file="1687-1847-2010-951764-i2.gif"/></inline-formula>-Bernoulli Polynomials Related to <inline-formula><graphic file="1687-1847-2010-951764-i3.gif"/></inline-formula>-Bernstein Polynomials
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Published: (2010-01-01)

Some Results on <inline-formula><graphic file="1687-1847-2011-394584-i1.gif"/></inline-formula>-Times Integrated <inline-formula><graphic file="1687-1847-2011-394584-i2.gif"/></inline-formula>-Regularized Semigroups
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Published: (2011-01-01)

On the Global Character of the System of Piecewise Linear Difference Equations <inline-formula><graphic file="1687-1847-2010-573281-i1.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-573281-i2.gif"/></inline-formula>
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Published: (2010-01-01)

On the Recursive Sequence <inline-formula><graphic file="1687-1847-2009-327649-i1.gif"/></inline-formula>
by: Schinas CJ, et al.
Published: (2009-01-01)

On the Difference Equation <inline-formula> <graphic file="1687-1847-2008-876936-i1.gif"/></inline-formula>
by: Zhang Rongyan, et al.
Published: (2008-01-01)

Weighted <inline-formula><graphic file="1687-1847-2011-584874-i1.gif"/></inline-formula>-Asymptotically <inline-formula><graphic file="1687-1847-2011-584874-i2.gif"/></inline-formula>-Periodic Solutions of a Class of Fractional Differential Equations
by: Pierri Michelle, et al.
Published: (2011-01-01)

A Study on the <inline-formula><graphic file="1687-1847-2010-163217-i1.gif"/></inline-formula>-Adic Integral Representation on <inline-formula><graphic file="1687-1847-2010-163217-i2.gif"/></inline-formula> Associated with Bernstein and Bernoulli Polynomials
by: Kim Won-Joo, et al.
Published: (2010-01-01)

Global Asymptotic Behavior of <inline-formula><graphic file="1687-1847-2007-041541-i1.gif"/></inline-formula>
by: Brett A, et al.
Published: (2007-01-01)

Existence of <inline-formula><graphic file="1687-1847-2010-262461-i1.gif"/></inline-formula> Positive Periodic Solutions to <inline-formula><graphic file="1687-1847-2010-262461-i2.gif"/></inline-formula>-Species Nonautonomous Food Chains with Harvesting Terms
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Published: (2010-01-01)

A Note on Symmetric Properties of the Twisted <inline-formula><graphic file="1687-1847-2010-801580-i1.gif"/></inline-formula>-Bernoulli Polynomials and the Twisted Generalized <inline-formula><graphic file="1687-1847-2010-801580-i2.gif"/></inline-formula>-Bernoulli Polynomials
by: Lee B, et al.
Published: (2010-01-01)

Dynamics for Nonlinear Difference Equation <inline-formula><graphic file="1687-1847-2009-235691-i1.gif"/></inline-formula>
by: Wang Yanqin, et al.
Published: (2009-01-01)

The Periodic Character of the Difference Equation <inline-formula> <graphic file="1687-1847-2008-143723-i1.gif"/></inline-formula>
by: Xi Hongjian, et al.
Published: (2008-01-01)

A Note on the <inline-formula><graphic file="1687-1847-2009-956910-i1.gif"/></inline-formula>-Euler Measures
by: Hwang Kyung-Won, et al.
Published: (2009-01-01)

Properties <inline-formula> <graphic file="1687-1812-2010-342691-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1687-1812-2010-342691-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-342691-i3.gif"/></inline-formula> Embeddings in Banach Spaces with 1-Unconditional Basis and <inline-formula> <graphic file="1687-1812-2010-342691-i4.gif"/></inline-formula>
by: Fetter Helga, et al.
Published: (2010-01-01)

Al2O3-Dielectric InAlN/AlN/GaN <inline-formula> <tex-math notation="LaTeX">${\Gamma}$ </tex-math></inline-formula>-Gate MOS-HFETs With Composite Al2O3/TiO2 Passivation Oxides
by: Ching-Sung Lee, et al.
Published: (2018-01-01)

Multiple Positive Solutions of <inline-formula><graphic file="1687-1847-2009-262857-i1.gif"/></inline-formula>-Point BVPs for Third-Order <inline-formula><graphic file="1687-1847-2009-262857-i2.gif"/></inline-formula>-Laplacian Dynamic Equations on Time Scales
by: Bian Li-Hua, et al.
Published: (2009-01-01)

New Approach to <inline-formula><graphic file="1687-1847-2010-431436-i1.gif"/></inline-formula>-Euler Numbers and Polynomials
by: Jang Lee-Chae, et al.
Published: (2010-01-01)

Existence of Global Attractors in <inline-formula> <graphic file="1687-2770-2009-563767-i1.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2009-563767-i2.gif"/></inline-formula>-Laplacian Parabolic Equation in <inline-formula> <graphic file="1687-2770-2009-563767-i3.gif"/></inline-formula>
by: Chen Caisheng, et al.
Published: (2009-01-01)

The Existence of Positive Solutions for Third-Order <inline-formula><graphic file="1687-1847-2009-169321-i1.gif"/></inline-formula>-Laplacian <inline-formula><graphic file="1687-1847-2009-169321-i2.gif"/></inline-formula>-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales
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Published: (2009-01-01)

Property <inline-formula> <graphic file="1687-1812-2010-401684-i1.gif"/></inline-formula> in <inline-formula> <graphic file="1687-1812-2010-401684-i2.gif"/></inline-formula>-Metric Spaces
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Published: (2010-01-01)

On the Identities of Symmetry for the <inline-formula><graphic file="1687-1847-2009-273545-i1.gif"/></inline-formula>-Euler Polynomials of Higher Order
by: Park KyoungHo, et al.
Published: (2009-01-01)

On the Generalized <inline-formula><graphic file="1687-1847-2011-424809-i1.gif"/></inline-formula>-Genocchi Numbers and Polynomials of Higher-Order
by: Kim T, et al.
Published: (2011-01-01)

Qualitative behavior of a rational difference equation <inline-formula><graphic file="1687-1847-2011-6-i1.gif"/></inline-formula>
by: Qian Xiao, et al.
Published: (2011-01-01)

A Class of <inline-formula> <graphic file="1687-2770-2009-185319-i1.gif"/></inline-formula>-<inline-formula> <graphic file="1687-2770-2009-185319-i2.gif"/></inline-formula>-Laplacian Type Equation with Potentials Eigenvalue Problem in <inline-formula> <graphic file="1687-2770-2009-185319-i3.gif"/></inline-formula>
by: Wu Mingzhu, et al.
Published: (2009-01-01)

<inline-formula> <graphic file="1687-1499-2010-192752-i1.gif"/></inline-formula>-Net Approach to Sensor <inline-formula> <graphic file="1687-1499-2010-192752-i2.gif"/></inline-formula>-Coverage
by: Fusco Giordano, et al.
Published: (2010-01-01)

Geometric Properties of Grassmannian Frames for <inline-formula><graphic file="1687-6180-2006-049850-i1.gif"/></inline-formula> and <inline-formula><graphic file="1687-6180-2006-049850-i2.gif"/></inline-formula>
by: Benedetto John J, et al.
Published: (2006-01-01)

Effect of Al2O3 Passivation on Electrical Properties of <inline-formula> <tex-math notation="LaTeX">$\beta$ </tex-math></inline-formula>-Ga2O3 Field-Effect Transistor
by: Jiyeon Ma, et al.
Published: (2019-01-01)

Sputter-Deposited-MoS2 <inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula>MISFETs With Top-Gate and Al2O3 Passivation Under Low Thermal Budget for Large Area Integration
by: Kentaro Matsuura, et al.
Published: (2018-01-01)

High-<inline-formula> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula> HfO2-Based AlGaN/GaN MIS-HEMTs With Y2O3 Interfacial Layer for High Gate Controllability and Interface Quality
by: Ya-Ting Shi, et al.
Published: (2020-01-01)

Fixed point theorems in <inline-formula><graphic file="1687-1812-2004-738084-i1.gif"/></inline-formula> spaces and <inline-formula><graphic file="1687-1812-2004-738084-i2.gif"/></inline-formula>-trees
by: Kirk WA
Published: (2004-01-01)

WKB Estimates for <inline-formula> <graphic file="1687-1847-2008-712913-i1.gif"/></inline-formula> Linear Dynamic Systems on Time Scales
by: Hovhannisyan Gro
Published: (2008-01-01)

A Note on <inline-formula><graphic file="1687-1847-2010-309480-i1.gif"/></inline-formula>-Genocchi Polynomials and Numbers of Higher Order
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Published: (2011-01-01)

On the algebraic difference equations <it>u</it><sub><it>n</it>+2</sub><it>u</it><sub><it>n</it></sub> = <it>ψ</it>(<it>u</it><sub><it>n</it>+1</sub>) in <inline-formula><graphic file="1687-1847-2005-948567-i1.gif"/></inline-formula>, related to a family of elliptic quartics in the plane

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