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Feuer, J.; Janowski, E. J.; Ladas, G.

Lyness-type equations in the third quadrant. (English) Zbl 0893.39004

Nonlinear Anal., Theory Methods Appl. 30, No. 2, 1183-1189 (1997).
The behavior of solutions of the Lyness-type equation \(x_{n+1} =(x_n+ B)/x_{n-1}\) for different values of \(B\) is studied.
Reviewer: B.M.Agrawal (Gwalior)

Cited in 1 Review
Cited in 11 Documents

MSC:

39A12 Discrete version of topics in analysis
39A10 Additive difference equations

Keywords:

behavior of solutions; Lyness-type equation
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\textit{J. Feuer} et al., Nonlinear Anal., Theory Methods Appl. 30, No. 2, 1183--1189 (1997; Zbl 0893.39004)
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References:

[1] Barbeau, E.; Gelbord, B.; Tanny, S., Periodicities of solutions of the generalized lyness recursion, J. diff. eq. and appl., 1, 291-306, (1995) · Zbl 0856.39009
[2] Grove, E.A.; Janowski, E.J.; Kent, C.M.; Ladas, G., On the rational recursive sequence 1189-1, Communications on applied nonlinear analysis, 1, 61-72, (1994) · Zbl 0856.39011
[3] Kocic, V.L.; Ladas, G., Global behavior of nonlinear difference equations of higher order with applications, (1993), Kluwer Academic Publishers Dordrecht · Zbl 0787.39001
[4] Kocic, V.L.; Ladas, G.; Rodrigues, I.W., On rational recursive sequences, J. math. anal. appl., 173, 127-157, (1993) · Zbl 0777.39002
[5] Kocic, V.L.; Ladas, G.; Tzanetopoulos, G.; Thomas, E., On the stability of lyness’ equation, Dynamics of continuous, discrete and impulsive systems, 1, 245-254, (1995) · Zbl 0869.39004
[6] Ladas, G., Invariants for generalized lyness equations, J. diff. eq. and appl., 1, 95-97, (1995) · Zbl 0858.39002
[7] Lyness, R.C.; Lyness, R.C.; Lyness, R.C., Math. gaz., Math. gaz., Math. gaz., 45, 201, (1961), Notes 1581, 1847, and 2952
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