Asymptotics of Solutions of Difference Equations with Variable Coefficients

1993 ◽  
Vol 161 (1) ◽  
pp. 155-170 ◽  
Author(s):  
Vladimir Maz'ya ◽  
Michail Sulimov
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
Asymptotics Of Solutions

scholarly journals Symmetries and Solvability of a Class of Higher Order Systems of Ordinary Difference Equations

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 108
Author(s):  
Kgatliso Mkhwanazi ◽  
Mensah Folly-Gbetoula
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
Higher Order ◽  
Order Difference

We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore, a detailed study for a specific value of k is presented. Our findings generalize some results in the literature.

scholarly journals OSCILLATIONS IN CERTAIN DIFFERENCE EQUATIONS

1997 ◽  
Vol 27 (3) ◽  
pp. 257-265
Author(s):  
ZDZISLAW SZAFRANSKI ◽  
BLAZEJ SZMANDA
Keyword(s):  
Difference Equations ◽  
Sufficient Conditions ◽  
Variable Coefficients ◽  
Linear Difference Equations ◽  
All Solutions

We obtain sufficient conditions for the oscillation of all solutions of some linear difference equations with variable coefficients.

Stability of Weighted Darma Filters

1998 ◽  
Vol 41 (1) ◽  
pp. 49-64
Author(s):  
K. J. Harrison ◽  
J. A. Ward ◽  
L-J. Eaton
Keyword(s):  
Difference Equations ◽  
Shift Operator ◽  
Variable Coefficients ◽  
Weighted Shift ◽  
Linear Difference Equations ◽  
Linear Filters ◽  
Weighted Shift Operator ◽  
Rational Transfer ◽  
The Stability ◽  
Special Case

AbstractWe study the stability of linear filters associated with certain types of linear difference equations with variable coefficients. We show that stability is determined by the locations of the poles of a rational transfer function relative to the spectrum of an associated weighted shift operator. The known theory for filters associated with constant-coefficient difference equations is a special case.

A New Method for Solving the Difference Equations with Variable Coefficients

2007 ◽  
Author(s):  
V. D. Sajfert ◽  
B. S. Tošić ◽  
J. P. Šetrajčić
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
New Method ◽  
The Difference
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