Optimal uniform estimates and rigorous asymptotics beyond all orders for a class of ODE's
| dc.creator | Costin, O. | |
| dc.creator | Kruskal, M. D. | |
| dc.date | 2006-08-16 | |
| dc.date.accessioned | 2026-07-07T07:21:51Z | |
| dc.date.available | 2026-07-07T07:21:51Z | |
| dc.description | For first order differential equations of the form $y'=\sum_{p=0}^P F_p(x)y^p$ and second order homogeneous linear differential equations $y''+a(x)y'+b(x)y=0$ with locally integrable coefficients having asymptotic (possibly divergent) power series when $|x|\to\infty$ on a ray $\arg(x)=$const, under some further assumptions, it is shown that, on the given ray, there is a one-to-one correspondence between true solutions and (complete) formal solutions. The correspondence is based on asymptotic inequalities which are required to be uniform in $x$ and optimal with respect to certain weights. | |
| dc.identifier | https://arxiv.org/abs/math/0608412 | |
| dc.identifier | http://arxiv.org/abs/math/0608412 | |
| dc.identifier | Proc. Roy. Soc. Lond. 452 (1996) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115446 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34E05,34M30,34M40,34M37 | |
| dc.title | Optimal uniform estimates and rigorous asymptotics beyond all orders for a class of ODE's | |
| dc.type | text |