On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. II
| dc.creator | Gorbachuk, Myroslav L. | |
| dc.creator | Gorbachuk, Valentyna I. | |
| dc.date | 2003-12-01 | |
| dc.date.accessioned | 2026-07-07T05:03:26Z | |
| dc.date.available | 2026-07-07T05:03:26Z | |
| dc.description | For an operator-differential equation of the form $y^{(m)}(z) = Ay(z)$, where $A$ is a closed linear operator on a Banach space over the the field of $p$-adic numbers, the necessary and sufficient conditions on initial data for the Cauchy problem to be well-posed in the class of locally analytic vector-valued functions are given. The result is illustrated by $p$-adic partial differential equations. | |
| dc.description | 9 pages, LaTeX-2e | |
| dc.identifier | https://arxiv.org/abs/math/0312026 | |
| dc.identifier | http://arxiv.org/abs/math/0312026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69416 | |
| dc.subject | Number Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 12H25; 34G10 | |
| dc.title | On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. II | |
| dc.type | text |