Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/2964817 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545632952254464 |
|---|---|
| author | Aleksandr Mikhailovich Kholkin |
| author_facet | Aleksandr Mikhailovich Kholkin |
| author_sort | Aleksandr Mikhailovich Kholkin |
| collection | DOAJ |
| description | A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained. |
| format | Article |
| id | doaj-art-2e0f37e69ea74e358c4279e724ea3ef3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2e0f37e69ea74e358c4279e724ea3ef32025-02-03T07:25:09ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/29648172964817Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator PotentialAleksandr Mikhailovich Kholkin0Department of Higher and Applied Mathematics, Priazovskyi State Technical University, Universitetskaya Street 7, Mariupol 87500, UkraineA resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.http://dx.doi.org/10.1155/2016/2964817 |
| spellingShingle | Aleksandr Mikhailovich Kholkin Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential Abstract and Applied Analysis |
| title | Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential |
| title_full | Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential |
| title_fullStr | Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential |
| title_full_unstemmed | Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential |
| title_short | Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential |
| title_sort | resolvent for non self adjoint differential operator with block triangular operator potential |
| url | http://dx.doi.org/10.1155/2016/2964817 |
| work_keys_str_mv | AT aleksandrmikhailovichkholkin resolventfornonselfadjointdifferentialoperatorwithblocktriangularoperatorpotential |