Kreiss, Heinz-Otto (1981) Resonance for Singular Perturbation Problems. SIAM Journal on Applied Mathematics, 41 (2). pp. 331-344. ISSN 0036-1399 http://resolver.caltech.edu/CaltechAUTHORS:20120718-123437625
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Abstract
Consider the resonance for a second-order equation εy"-xpy’+ qy = 0. Another proof is given for the necessity of the Matkowsky condition and the connection with a regular eigenvalue problem is established. Also, if p, q are analytic, necessary and sufficient conditions are derived.
| Item Type: | Article |
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| Additional Information: | © 1981 Society for Industrial and Applied Mathematics. Received by the editors November 30, 1979, and in revised form October 15, 1980; Published online July 12, 2006. |
| Record Number: | CaltechAUTHORS:20120718-123437625 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20120718-123437625 |
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| Official Citation: | Resonance for Singular Perturbation Problems Kreiss, H. SIAM Journal on Applied Mathematics 1981 41:2, 331-344 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 32554 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Aucoeur Ngo |
| Deposited On: | 18 Jul 2012 22:10 |
| Last Modified: | 26 Dec 2012 15:36 |
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