|
|||||
|
|
WKB-type approximations for second-order differential equations in |
|
| Authors: | Renato Spigler Marco Vianello |
| Affiliation: | Dipartimento di Matematica, Università di Lecce, Via Provinciale Lecce-Arnesano, P.O. Box 193, 73100, Lecce, Italy ; Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131, Padova, Italy |
| Abstract: | Rigorous asymptotic approximations of the WKB (or Liouville-Green) type are obtained for a basis of solutions to ![$y'+[alpha +g(t)]y=0$](http://www.ams.org/proc/1996-124-06/S0002-9939-96-03369-2/gif-abstract/img4.gif) in the framework of  -algebras. Both cases  and  are included, thus generalizing the classical theory for scalar equations developed by F.W.J. Olver to matrix as well as to infinite-dimensional equations. |
| Keywords: | Linear abstract differential equations WKB (Liouville-Green) approximation $C^ast$-algebras |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |