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On a nonlinear second-order difference equation (Q2157788)

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Language	Label	Description	Also known as
English	On a nonlinear second-order difference equation	scientific article

Statements

scholarly article

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On a nonlinear second-order difference equation (English)

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Zdeněk Šmarda

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Bratislav D. Iričanin

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Witold A. Kosmala

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Journal of Inequalities and Applications

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publication date

22 July 2022

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zbMATH Keywords

difference equation

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solvable equation

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closed-form formula

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equilibrium

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1186/s13660-022-02822-z

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On the rational recursive sequence

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Global behaviour of a second-order nonlinear difference equation

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On Impulsive Beverton-Holt Difference Equations and their Applications

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Inclusion Theorems for Non-linear Difference Equations with Applications

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On the asymptotics of the difference equation <i>y</i> <sub> <i>n</i> </sub>(1 + <i>y</i> <sub> <i>n</i> − 1</sub> … <i>y</i> <sub> <i>n − k</i> + 1</sub>) = <i>y</i> <sub> <i>n − k</i> </sub>

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Qualitative behavior of difference equation of order two

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Convergence of a difference equation via the full limiting sequences method

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Asymptotic 2–periodic difference equations with diagonally self–invertible responses

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Convergence of solutions in a nonhyperbolic case.

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More on the Difference Equation y n + 1 = ( p + y n −1 )/( qy n + y n −1 )

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Invariants for systems of two nonlinear difference equations

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Invariants and oscillation for systems of two nonlinear difference equations

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On a \(k\)-order system of Lyness-type difference equations

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The Fibonacci sequence modulo \(\pi\), chaos and some rational recursive equations

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Invariants for difference equations and systems of difference equations of rational form

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Invariants for some difference equations

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A global convergence result with applications to periodic solutions

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Asymptotic behavior of a nonlinear difference equation

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On the recursive sequence \(x_{n+1}=\frac{A}{\prod^ k_{i=0}x_{n-i}}+\frac{1}{\prod^{2(k+1)}_{j=k+2}x_{n-j}}\).

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Boundedness character of a class of difference equations

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Global stability of a difference equation with maximum

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On the system of difference equations \(x_n=c_ny_{n-3}/(a_n+b_ny_{n-1}x_{n-2}y_{n-3})\),\(y_n=\gamma_nx_{n-3}/(\alpha_n+\beta_nx_{n-1}y_{n-2}x_{n-3})\)

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On some solvable difference equations and systems of difference equations

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Note on the bilinear difference equation with a delay

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Note on difference equations with the right-hand side function nonincreasing in each variable

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On a product-type system of difference equations of second order solvable in closed form

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Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke

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Identifiers

zbMATH Open document ID

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10.1186/s13660-022-02822-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2157788

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