The integral representation of solutions to a boundary value problem on the half-line for a system of linear ODEs with singularity of first kind
| dc.creator | Horishna, Yulia | |
| dc.creator | Parasyuk, Igor | |
| dc.creator | Protsak, Lyudmyla | |
| dc.date | 2008-04-03 | |
| dc.date | 2008-04-08 | |
| dc.date.accessioned | 2026-07-07T09:30:40Z | |
| dc.date.available | 2026-07-07T09:30:40Z | |
| dc.description | We consider a problem of finding vanishing at infinity $C^1([0,\oo))$-solutions to non-homogeneous system of linear ODEs which has the pole of first order at $x=0$. The resonant case where the corresponding homogeneous problem has nontrivial solutions is of main interest. Under the conditions that the homogeneous system is exponentially dichotomic on $[1,\oo)$ and the residue of system's operator at $x=0$ does not have eigenvalues with real part 1, we construct the so called generalized Green function. We also establish conditions under which the main non-homogeneous problem can be reduced to the Noetherian one with nonzero index. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0804.0542 | |
| dc.identifier | http://arxiv.org/abs/0804.0542 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158191 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 34B16; 34B05; 34B27 | |
| dc.title | The integral representation of solutions to a boundary value problem on the half-line for a system of linear ODEs with singularity of first kind | |
| dc.type | text |