## Found 69 Documents (Results 1–69)

100
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### Dynamics of $$K$$$$^\mathrm{th}$$ order rational difference equation. (English)Zbl 1473.39032

MSC:  39A30 39A23
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### Global behavior of a third order difference equation with quadratic term. (English)Zbl 1462.39010

MSC:  39A20 39A22
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### Asymptotic dynamics of a class of third order rational difference equations. (English)Zbl 07508885

MSC:  39A10 39A11
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### On the solutions of a third order rational difference equation. (English)Zbl 1480.39005

MSC:  39A20 39A30 39A23
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### Asymptotic behaviour of the solutions of a class of $$(k+1)$$-order rational difference equations. (English)Zbl 1474.39025

MSC:  39A22 39A20
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### On a rational second order difference equation with quadratic term. (English)Zbl 1454.39021

MSC:  39A20 39A23
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### A note on the global behavior of a system of second-order rational difference equations. (English)Zbl 1463.39015

MSC:  39A20 39A22
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### Behavior of solutions of a rational third order difference equation. (English)Zbl 1463.39014

MSC:  39A20 39A22
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### Global stability of some nonlinear higher-order systems of difference equations. (English)Zbl 1443.39008

MSC:  39A30 39A22 39A10
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### Hereditarily non uniformly perfect non-autonomous Julia sets. (English)Zbl 1435.30082

MSC:  30D05 30C10
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### Behavior of solutions of a second order rational difference equation. (English)Zbl 1474.39016

MSC:  39A20 39A22 39A23
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### Global behavior of a higher-order nonlinear difference equation with many arbitrary multivariate functions. (English)Zbl 1462.39002

MSC:  39A10 39A23 39A30
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### On a fourth order rational difference equation. (English)Zbl 1434.39008

MSC:  39A20 39A22
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### On the global dynamics of a rational difference equation with periodic coefficients. (English)Zbl 1417.39057

MSC:  39A30 39A22
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### Global behavior of a fourth-order difference equation with quadratic term. (English)Zbl 1412.39002

MSC:  39A10 39A22
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### Bifurcation and chaos control in a discrete-time predator-prey model with nonlinear saturated incidence rate and parasite interaction. (English)Zbl 1458.37098

MSC:  37N25 92D25 39A28
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### Necessary and sufficient conditions for existence of an equilibrium and a periodic of prime period 2 solution of a certain rational difference equation. (English)Zbl 1465.39005

MSC:  39A23 39A30
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### Global behavior of a fourth order rational difference equation. (English)Zbl 1447.39007

MSC:  39A30 39A20 39A22
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### Stable manifold market sequences. (English)Zbl 1406.91006

MSC:  91A06 91B50
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### Dynamical behavior of a system of three-dimensional nonlinear difference equations. (English)Zbl 1446.39014

MSC:  39A22 39A30
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### On the asymptotic character of a generalized rational difference equation. (English)Zbl 1396.39015

MSC:  39A30 39A10
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MSC:  39A10
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MSC:  39A10
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### Li-Yorke chaos in perturbed rational difference equations. (English)Zbl 1355.39026

Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 49-61 (2016).
MSC:  39A33 39A20 92D25
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### Periodic solutions of the second order quadratic rational difference equation $$x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}}$$. (English)Zbl 1355.39020

Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 29-47 (2016).
MSC:  39A23 39A20
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### On the second order rational difference equation $$x_{n+1}=\beta +\frac{1}{x_n x_{n-1}}$$. (English)Zbl 1355.39013

Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 1-14 (2016).
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### Semistability of two systems of difference equations using centre manifold theory. (English)Zbl 1364.39017

MSC:  39A30 39A10
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### Stability analysis of a discrete biological model. (English)Zbl 1342.39017

Reviewer: Fei Xue (Hartford)
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MSC:  39A10
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MSC:  39A10
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### Asymptotic behavior of a Nicholson-Bailey model. (English)Zbl 1343.39009

MSC:  39A10 40A05
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MSC:  39A13
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### On a system of difference equations including negative exponential terms. (English)Zbl 1291.39040

MSC:  39A30 39A10 39A22
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### Integrability and non-integrability of periodic non-autonomous Lyness recurrences. (English)Zbl 1288.39006

MSC:  39A20 39A33 39A23
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MSC:  39A28
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### On the period-two cycles of $$x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})$$. (English)Zbl 1275.39004

MSC:  39A23 39A20 39A30
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### Global attractivity results on complete ordered metric spaces for third-order difference equations. (English)Zbl 1268.39025

MSC:  39A70 47H10
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### Global behaviour of solutions to a class of second-order rational difference equations when prime period-two solutions exist. (English)Zbl 1337.39002

MSC:  39A20 39A23 39A05
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### Global behavior of solutions of a periodically forced sigmoid Beverton-Holt model. (English)Zbl 1448.92194

MSC:  92D25 39A23 39A30
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### Homogeneous rational difference equations of degree 1: convergence, monotone and oscillatory solutions for second- and third-order cases. (English)Zbl 1261.39014

Reviewer: Pavel Rehak (Brno)
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MSC:  39A30
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### Global attractivity of a higher-order difference equation. (English)Zbl 1248.39010

MSC:  39A21 39A22 39A30
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### Global convergence properties of first-order homogeneous systems of rational difference equations. (English)Zbl 1259.39012

MSC:  39A20 39A22
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### On the global character of solutions of the system: $$x_{n+1}=\frac{\alpha_1+y_n}{x_n}$$ and $$y_{n+1}=\frac{\alpha_2+\beta_2x_n+\gamma_2y_n}{A_2+B_2x_n+C_2y_n}$$. (English)Zbl 1259.39009

MSC:  39A20 39A22 39A23
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### On the solutions of a general system of difference equations. (English)Zbl 1244.39001

MSC:  39A05 39A23
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MSC:  39A23
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### Patterns of boundedness of the rational system $$x _{n+1} = \alpha _{1} / (A _{1} + B _{1} x _{ n } + C _{1} y _{ n })$$ and $$y _{n+1} = (\alpha _{2} + \beta _{2} x _{ n } + \gamma _{2} y _{ n }) / (A _{2} + B _{2} x _{ n } + C _{2} y _{ n })$$. (English)Zbl 1242.39022

MSC:  39A22 39A20
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### Boundedness and some convergence properties of the difference equation $$x_{n+1}=\frac{\gamma x_{n-1} + \delta x_{n-2}}{B x_n + D x_{n-2}}$$. (English)Zbl 1237.39006

MSC:  39A20 39A22 39A23
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### A trichotomy result for non-autonomous rational difference equations. (English)Zbl 1236.39016

MSC:  39A20 39A30
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### Linear fractional recurrences: periodicities and integrability. (English. French summary)Zbl 1267.37052

MSC:  37F99 37F10 14E05
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MSC:  39A10
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### Periodicities which preserve and periodicities which destroy boundedness. (English)Zbl 1220.39015

MSC:  39A23 39A20 39A22
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### Dynamics of a higher-order nonlinear difference equation. (English)Zbl 1198.39030

MSC:  39A30 39A22 39A20
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MSC:  39A22
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### Global asymptotic stability for a fourth-order rational difference equation. (English)Zbl 1178.39025

MSC:  39A30 39A20
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MSC:  54H25
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MSC:  39A20
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### Global convergence in periodically forced rational equations. (English)Zbl 1162.39001

MSC:  39A11 39A20
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### On the dynamics of $$x_{n+1}= \frac {\delta x-{n-2}+x_{n-3}}{A+x_{n-3}}$$. (English)Zbl 1118.39001

MSC:  39A11 39A20
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### When does local asymptotic stability imply global attractivity in rational equations? (English)Zbl 1105.39001

MSC:  39A11 39A20
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