S. Castillo et M. Pinto, ASYMPTOTIC SUMMATION FOR 2ND-ORDER FINITE-DIFFERENCE SYSTEMS, Computers & mathematics with applications, 35(4), 1998, pp. 117-129
Conditional summable hypotheses are given to obtain asymptotic summati
on of some 2 x 2 difference systems. We obtain asymptotic formulae of
the solutions of a perturbed system, knowing the recessive and dominan
t solutions of the unperturbed system. The Casoratian is generally non
constant and nonconvergent and it appears in the asymptotic formulas.