Nonlocal Operational Calculi for Dunkl Operators
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nonlocal Operational Calculi for Dunkl Operators
|
|
| Creator |
Dimovski, I.H.
Hristov, V.Z. |
|
| Description |
The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational calculus of Mikusinski type is developed. In the frames of this operational calculi an extension of the Heaviside algorithm for solution of nonlocal Cauchy boundary value problems for Dunkl functional-differential equations P(Dk)u = f with a given polynomial P is proposed. The solution of these equations in mean-periodic functions reduces to such problems. Necessary and sufficient condition for existence of unique solution in mean-periodic functions is found.
|
|
| Date |
2019-02-19T18:12:26Z
2019-02-19T18:12:26Z 2009 |
|
| Type |
Article
|
|
| Identifier |
Nonlocal Operational Calculi for Dunkl Operators / I.H. Dimovski, V.Z. Hristov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 44A40; 44A35; 34K06 http://dspace.nbuv.gov.ua/handle/123456789/149174 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|