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Dynamics and behaviors of a third-order system of difference equation - MaRDI portal

Dynamics and behaviors of a third-order system of difference equation (Q405443)

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scientific article; zbMATH DE number 6340305

Language	Label	Description	Also known as
English	Dynamics and behaviors of a third-order system of difference equation	scientific article; zbMATH DE number 6340305

Statements

scholarly article

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Dynamics and behaviors of a third-order system of difference equation (English)

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Mathematical Sciences

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publication date

5 September 2014

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zbMATH Keywords

system of rational difference equation

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third order

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periodic-four solution

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oscillatory

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MaRDI profile type

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full work available at URL

https://doi.org/10.1186/2251-7456-7-34

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On the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\)

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Global asymptotic behavior of positive solutions on the system of rational difference equations \(x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}\).

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On the system of rational difference equations \(x_n=a/y_{n-3}\), \(y_n=by_{n-3}/x_{n-q}y_{n-q}\)

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On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)

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On a system of two nonlinear difference equations

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Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form

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Dynamics and behavior of a higher order rational recursive sequence

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Global behavior of the solutions of some difference equations

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On the global character of solutions of the system:

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Patterns of boundedness of the rational system<i>x</i><sub><i>n</i>+1</sub>=<i>α</i><sub>1</sub>/ (<i>A</i><sub>1</sub>+<i>B</i><sub>1</sub><i>x</i><sub><i>n</i></sub>+<i>C</i><sub>1</sub><i>y</i><sub><i>n</i></sub>) and<i>y</i><sub><i>n</i>+1</sub>= (α<sub>2</sub>+<i>β</i><sub>2</sub><i>x</i><sub><i>n</i></sub>+<i>γ</i><sub>2</sub><i>y</i><sub><i>n</i></sub>) / (<i>A</i><sub>2</sub>+<i>B</i><sub>2</sub><i>x</i><sub><i>n</i></sub>+<i>C</i><sub>2</sub><i>y</i><sub><i>n</i></sub>)

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Dynamics of second order rational difference equations. With open problems and conjectures

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Periodic Character of a Class of Difference Equation

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Identifiers

zbMATH Open document ID

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10.1186/2251-7456-7-34

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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:405443

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