On a linear difference equation with several infinite lags
2010
artykuł naukowy
angielski
- delay difference equation
- multi-pantograph equation
- stability
- asymptotic behaviour
- równanie różnicowe
- stateczność
- zachowanie asymptotyczne
EN This paper deals with asymptotic properties of the solutions of a variable order linear difference equation. As the main result, we derive the effective asymptotic estimate valid for all solutions of this equation. Moreover, we are going to discuss some consequences of this theoretical result, especially with respect to the numerical analysis of the multi-pantograph differential equation.
19 - 28
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny