ASYMPTOTIC SUMMATION FOR 2ND-ORDER FINITE-DIFFERENCE SYSTEMS

Citation
S. Castillo et M. Pinto, ASYMPTOTIC SUMMATION FOR 2ND-ORDER FINITE-DIFFERENCE SYSTEMS, Computers & mathematics with applications, 35(4), 1998, pp. 117-129
Citations number
13
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
35
Issue
4
Year of publication
1998
Pages
117 - 129
Database
ISI
SICI code
0898-1221(1998)35:4<117:ASF2FS>2.0.ZU;2-P
Abstract
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.