AbstractWe establish asymptotic formulae for the solutions of thefirst order recurrence systemxn+1=(A+Bn)xn,whereAandBn(n=0,1,…) are square matrices and ∑∞n=0‖Bn‖2<∞. As a consequence, we confirma recent conjecture about the asymptotic behavior of the solutionsof the higher order scalar equationu(n+1)=∑ki=0(ci+di(n))u(n−i)
The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible ap...
In this paper we consider the difference equation [formula], n=0, 1... with positive parameters a an...
AbstractAn asymptotic formula, having bounded relative error, is developed for the numerical sequenc...
AbstractWe establish asymptotic formulae for the solutions of thefirst order recurrence systemxn+1=(...
AbstractSufficient conditions are given for the Poincaré recurrence system y(m+1) = (A + P(m)) y(m) ...
AbstractConsider the nonhomogeneous linear recurrence systemxn+1=(A+Bn)xn+gn,where A and Bn (n=0,1,…...
AbstractA natural generalization to systems of first order equations is given of Poincaré's classica...
Abstract: In the preprint a theorem on asymptotics of solutions of the higher order differ...
AbstractIn this paper, we deal with linear and nonlinear perturbations of first-order recurrence sys...
The behavior of the vector recurrence y_(n + 1) = My_n + w_(n + 1) is studied under very weak assump...
AbstractThe behavior of the sequence xn + 1 = xn(3N − xn2)2N is studied for N > 0 and varying real x...
Introduction and formulation of main results There are several important problems, stemming from th...
We give an asymptotic expansion of the solutions of higher-order Poincaré difference equation ...
AbstractThis paper is mainly concerned with the study of recurrences defined by Möbius-transformatio...
We introduce a matrix continued fraction associated with the first-order linear recurrence system Y_...
The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible ap...
In this paper we consider the difference equation [formula], n=0, 1... with positive parameters a an...
AbstractAn asymptotic formula, having bounded relative error, is developed for the numerical sequenc...
AbstractWe establish asymptotic formulae for the solutions of thefirst order recurrence systemxn+1=(...
AbstractSufficient conditions are given for the Poincaré recurrence system y(m+1) = (A + P(m)) y(m) ...
AbstractConsider the nonhomogeneous linear recurrence systemxn+1=(A+Bn)xn+gn,where A and Bn (n=0,1,…...
AbstractA natural generalization to systems of first order equations is given of Poincaré's classica...
Abstract: In the preprint a theorem on asymptotics of solutions of the higher order differ...
AbstractIn this paper, we deal with linear and nonlinear perturbations of first-order recurrence sys...
The behavior of the vector recurrence y_(n + 1) = My_n + w_(n + 1) is studied under very weak assump...
AbstractThe behavior of the sequence xn + 1 = xn(3N − xn2)2N is studied for N > 0 and varying real x...
Introduction and formulation of main results There are several important problems, stemming from th...
We give an asymptotic expansion of the solutions of higher-order Poincaré difference equation ...
AbstractThis paper is mainly concerned with the study of recurrences defined by Möbius-transformatio...
We introduce a matrix continued fraction associated with the first-order linear recurrence system Y_...
The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible ap...
In this paper we consider the difference equation [formula], n=0, 1... with positive parameters a an...
AbstractAn asymptotic formula, having bounded relative error, is developed for the numerical sequenc...
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