Oscillation and Global Asymptotic Stability
Copyright policy )Oscillation and Global Asymptotic Stability
The authors establish oscillation results and global asymptotic stability for the difference equation \[ y_{n+1}= A+{y_ny_{n-2} \cdots y_{n-(2k-2)} \over y_{n-1}y_{n-3} \cdots y_{n-(2k-1)}},\;A>0,\;k\geq 2,\;n\geq 2k. \] For related results see the paper of \textit{R. De Vault}, \textit{G. Ladas} and \textit{S. W. Schultz} [Proc. Am. Math. Soc. 126, No. 11, 3257-3261 (1998; Zbl 0904.39012)].
- Southern Illinois University Carbondale United States
- Southern Illinois University System United States
General theory of functional equations and inequalities, Stability of difference equations, period 2 solution, multiplicative difference equation, Applied Mathematics, oscillation, Analysis, global asymptotic stability
General theory of functional equations and inequalities, Stability of difference equations, period 2 solution, multiplicative difference equation, Applied Mathematics, oscillation, Analysis, global asymptotic stability
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