Linear difference equation

Known as: Linear recurrence 
In mathematics and in particular dynamical systems, a linear difference equation or linear recurrence relation equates 0 to a polynomial that is… (More)
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2013
2013
Introduction In the past few years, oscillation and non-oscillation theory of second-order linear and nonlinear difference… (More)
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2008
2008
Solutions of a homogeneous (r+ l)-term linear difference equation are given in two different forms. One involves the elements of… (More)
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2007
2007
We establish new conjugacy criteria for the second order linear difference equation 1(rk1xk)+ qk xk+1 = 0, k ∈ Z. To this goal… (More)
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2006
2006
In the paper sufficient conditions for the difference equation r qx = i CLn X n+i i=o to have a solution which tends to a… (More)
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2006
2006
Our aim in this paper is to investigate the dynamics of difference equation 0096-3 doi:10 * Co E-m ynþ1 1⁄4 yn þ pyn k yn þ q ; n… (More)
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2005
2005
In this paper we study boundary value problems for perturbed second-order linear differenc tions with a small parameter. The… (More)
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2005
2005
Two linearly independent asymptotic solutions are constructed for the second-order linear difference equation yn+1(x) − (Anx + Bn… (More)
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2003
2003
  • 2003
The second order linear difference equation (1) ∆(rk∆xk) + ckxk+1 = 0, where rk 6= 0 and k ∈ , is considered as a special type of… (More)
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Highly Cited
1995
Highly Cited
1995
We propose a simple algorithm to construct a polynomial divisible by the denominator of any rational solution of a linear… (More)
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Highly Cited
1973
Highly Cited
1973
An mth-order recurrence problem is defined as the computation of the series x<inf>1</inf>, x<inf>2</inf>, ..., X<inf>N</inf… (More)
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