WKB-TYPE APPROXIMATIONS FOR 2ND-ORDER DIFFERENTIAL-EQUATIONS IN C-ASTERISK-ALGEBRAS

Authors
SPIGLER R VIANELLO M
Citation
R. Spigler et M. Vianello, WKB-TYPE APPROXIMATIONS FOR 2ND-ORDER DIFFERENTIAL-EQUATIONS IN C-ASTERISK-ALGEBRAS, Proceedings of the American Mathematical Society, 124(6), 1996, pp. 1763-1771
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
6
Year of publication
1996
Pages
1763 - 1771
Database
ISI
SICI code
0002-9939(1996)124:6<1763:WAF2DI>2.0.ZU;2-Q
Abstract
Rigorous asymptotic approximations of the WKB (or Liouville-Green) typ e are obtained for a basis of solutions to y '' + [alpha + g(t)]y = 0 in the framework of C-algebras. Both cases alpha > 0 and alpha < 0 ar e included, thus generalizing the classical theory for scalar equation s developed by F.W.J. Olver to matrix as well as to infinite-dimension al equations.