Consider the scalar k th order linear difference equation: x (n+ k)+ pi (n) x (n+ k-1)+…+ pk (n)
x (n)= 0 where the limits qi= limn→∞ Pi (n)(i= 1,…, k) are finite. In this paper, we confirm the …

Consider the nonhomogeneous linear recurrence systemx n+ 1=(A+ B n) xn+ gn, where A
and Bn (n= 0, 1,…) are square matrices and gn (n= 0, 1,…) are column vectors. In this paper …

In ordinary differential equations, there are two notable results on asymptotic integration of
almost diagonal linear differential systems of the form ystq R ty, 1 Ž. Ž. Ž. Ž. where ts diag t …

Null Solutions of Difference Systems Under Vanishing Perturbation Page 1 Journal of
Difference Equations and Applications, 2003 VOL. 9 (I), pp. 1-13 Taylor & Francis …

Weighted Convergent and Bounded Solutions of Difference Systems Page 1 Pergamon
Computers Math. Applic. Vol. 36, No. 10-12, pp. 391-400, 1998 © 1998 Elsevier Science Ltd …

In this paper, we show asymptotic formulae for solutions of the nonlinear functional
difference equation y (n+ 1)= L (yn)+ V (n, yn)+ f (n, yn), where yn (θ)=(n+ θ) for θ ϵ {− r,− r+ …

The Hartman-Wintner theorem on asymptotic integration is established for a certain class of
functional differential equations with nonlinear perturbations, by looking them as abstract …

The main result of the paper gives explicit asymptotic formulae for the solutions of the system
of higher order linear recurrence equations x (n+ 1)=∑ ι= 0 k [A i+ B i (n)] x (n− i), https://s3 …

This collection of carefully refereed and edited papers were originally presented at the
Fourth International Conference on Difference Equations held in Poznan, Poland …

Tato disertační práce pojednává o řešení diferenčních rovnic a soustřeďuje se na metodu
řešení diferenčních rovnic pomocí vlastních vektorů. V první části jsou v přehledu nejdříve …