On a System of Two Nonlinear Difference Equations
Copyright policy ) Papaschinopoulos, G.; Schinas, C.J.;
On a System of Two Nonlinear Difference Equations
Concerning the system \(x_{n+1}=A+y_n/x_{n-p}\), \(y_{n+1}=A+x_n/y_{n-q}\) with \(A\geq 0\) and natural numbers \(p\), \(q\), the authors show: (i) the positive solutions are bounded, (ii) they oscillate about the equilibrium \((1+A,1+A)\), (iii) the equilibrium is globally asymptotically stable for \(A>1\).
- University of Macedonia Greece
- Democritus University of Thrace Greece
Stability of difference equations, positive solutions, Applied Mathematics, oscillations, Discrete version of topics in analysis, nonlinear difference equations, system, Analysis, global asymptotic stability
Stability of difference equations, positive solutions, Applied Mathematics, oscillations, Discrete version of topics in analysis, nonlinear difference equations, system, Analysis, global asymptotic stability
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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