Pseudo-differential operators and equations in a discrete half-space
We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space. The theorem on a general solution of such equations is proved for a special case.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2018-07-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/368 |
| _version_ | 1818765473302446080 |
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| author | Alexander V. Vasilyev Vladimir B. Vasilyev |
| author_facet | Alexander V. Vasilyev Vladimir B. Vasilyev |
| author_sort | Alexander V. Vasilyev |
| collection | DOAJ |
| description | We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
The theorem on a general solution of such equations is proved for a special case. |
| first_indexed | 2024-12-18T08:18:39Z |
| format | Article |
| id | doaj.art-d667319ac668405880e0fa30e2f6a94f |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-18T08:18:39Z |
| publishDate | 2018-07-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-d667319ac668405880e0fa30e2f6a94f2022-12-21T21:14:47ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102018-07-0123310.3846/mma.2018.029Pseudo-differential operators and equations in a discrete half-spaceAlexander V. Vasilyev0Vladimir B. Vasilyev1Belgorod National Research University, Studencheskaya 14/1, Belgorod 308007, RussiaBelgorod National Research University, Studencheskaya 14/1, Belgorod 308007, RussiaWe introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space. The theorem on a general solution of such equations is proved for a special case.https://journals.vgtu.lt/index.php/MMA/article/view/368discrete functional spacedigital distributiondigital pseudo-differential operatordiscrete pseudo-differential equationgeneral solution |
| spellingShingle | Alexander V. Vasilyev Vladimir B. Vasilyev Pseudo-differential operators and equations in a discrete half-space Mathematical Modelling and Analysis discrete functional space digital distribution digital pseudo-differential operator discrete pseudo-differential equation general solution |
| title | Pseudo-differential operators and equations in a discrete half-space |
| title_full | Pseudo-differential operators and equations in a discrete half-space |
| title_fullStr | Pseudo-differential operators and equations in a discrete half-space |
| title_full_unstemmed | Pseudo-differential operators and equations in a discrete half-space |
| title_short | Pseudo-differential operators and equations in a discrete half-space |
| title_sort | pseudo differential operators and equations in a discrete half space |
| topic | discrete functional space digital distribution digital pseudo-differential operator discrete pseudo-differential equation general solution |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/368 |
| work_keys_str_mv | AT alexandervvasilyev pseudodifferentialoperatorsandequationsinadiscretehalfspace AT vladimirbvasilyev pseudodifferentialoperatorsandequationsinadiscretehalfspace |