Invariants for Difference Equations and Systems of Difference Equations of Rational Form
Copyright policy )Invariants for Difference Equations and Systems of Difference Equations of Rational Form
The author consideres the system of difference equations \[ x_{n+1} = \frac{a_n y_n + A}{x_{n-1}}, \qquad y_{n+1} = \frac{b_n x_n + A}{y_{n-1}}, n = 0, 1,\dots\tag{1} \] where the coefficients \(\{a_n\}\) and \(\{b_n\}\) are periodic sequences of positive numbers of period 2 and \(A\) is a positive constant. Some invariants for system (1) are presented. In the second part of the article, some invariants for difference equations of higher than second order are found.
- University of Macedonia Greece
invariant, Applied Mathematics, Discrete version of topics in analysis, systems of difference equations of rational form, Additive difference equations, Analysis
invariant, Applied Mathematics, Discrete version of topics in analysis, systems of difference equations of rational form, Additive difference equations, Analysis
selected citations These citations are derived from selected sources.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).61 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!