Bravyi Eugene: On solvability of focal boundary value problems for higher order functional differential equations with integral restrictions. (2021)
Preview |
Teljes mű
ejqtde_2021_022.pdf Download (446kB) | Preview |
Abstract
Sharp conditions are obtained for the unique solvability of focal boundary value problems for higher-order functional differential equations under integral restrictions on functional operators. In terms of the norm of the functional operator, unimprovable conditions for the unique solvability of the boundary value problem are established in the explicit form. If these conditions are not fulfilled, then there exists a positive bounded operator with a given norm such that the focal boundary value problem with this operator is not uniquely solvable. In the symmetric case, some estimates of the best constants in the solvability conditions are given. Comparison with existing results is also performed.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 22 |
| ISSN: | 1417-3875 |
| Number of Pages: | 14 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2021.1.22 |
| Uncontrolled Keywords: | Differenciálegyenlet - határérték probléma |
| Additional Information: | Bibliogr.: p. 11-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 08. 11:15 |
| Last Modified: | 2021. Nov. 08. 11:15 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73674 |
Actions (login required)
 |
View Item |
