Oscillations in difference equations with periodic coefficients

1992 ◽  
Vol 58 (5) ◽  
pp. 453-461 ◽  
Author(s):  
Ch. G. Philos
Keyword(s):  
Difference Equations ◽  
Periodic Coefficients

Reducibility of linear systems of difference equations with almost periodic coefficients

1993 ◽  
Vol 45 (12) ◽  
pp. 1869-1877
Author(s):  
Yu. A. Mitropol'skii ◽  
D. I. Martynyuk ◽  
V. I. Tynnyi
Keyword(s):  
Linear Systems ◽  
Difference Equations ◽  
Almost Periodic ◽  
Periodic Coefficients

scholarly journals Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Petr Hasil ◽  
Michal Veselý
Keyword(s):  
Euler Equation ◽  
Difference Equations ◽  
Almost Periodic ◽  
Periodic Coefficients ◽  
Sturm Liouville ◽  
Critical Oscillation ◽  
Oscillation Constant

We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result reduces to the well-known result about the discrete Euler equation.

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