Factorization of abstract operators into two second degree operators and its applications to integro-differential equations
Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched. An exact solution to B1x = f in the case when a bijective operator B1 has a factorization of the form B1 =BB0...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2024-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/692 |
| _version_ | 1797234231000170496 |
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| author | I.N. Parasidis E. Providas |
| author_facet | I.N. Parasidis E. Providas |
| author_sort | I.N. Parasidis |
| collection | DOAJ |
| description |
Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched. An exact solution to B1x = f in the case when a bijective operator B1 has a factorization of the form B1 =BB0 where B and B0 are two linear more simple than B1 second degree abstract operators, received. Conditions for factorization of the operator B1 and a criterion for bijectivity of B1 are found.
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| first_indexed | 2024-04-24T16:28:46Z |
| format | Article |
| id | doaj.art-fcd36909ca914648ad2df74e07dce1c8 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-04-24T16:28:46Z |
| publishDate | 2024-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-fcd36909ca914648ad2df74e07dce1c82024-03-30T14:47:10ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112024-03-01113110.31489/2024m1/149-161Factorization of abstract operators into two second degree operators and its applications to integro-differential equationsI.N. ParasidisE. Providas Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched. An exact solution to B1x = f in the case when a bijective operator B1 has a factorization of the form B1 =BB0 where B and B0 are two linear more simple than B1 second degree abstract operators, received. Conditions for factorization of the operator B1 and a criterion for bijectivity of B1 are found. https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/692correct operatorbijective operatorfactorization (decomposition) of linear operatorsFredholm integro-differential equationsboundary value problemsexact solutions |
| spellingShingle | I.N. Parasidis E. Providas Factorization of abstract operators into two second degree operators and its applications to integro-differential equations Қарағанды университетінің хабаршысы. Математика сериясы correct operator bijective operator factorization (decomposition) of linear operators Fredholm integro-differential equations boundary value problems exact solutions |
| title | Factorization of abstract operators into two second degree operators and its applications to integro-differential equations |
| title_full | Factorization of abstract operators into two second degree operators and its applications to integro-differential equations |
| title_fullStr | Factorization of abstract operators into two second degree operators and its applications to integro-differential equations |
| title_full_unstemmed | Factorization of abstract operators into two second degree operators and its applications to integro-differential equations |
| title_short | Factorization of abstract operators into two second degree operators and its applications to integro-differential equations |
| title_sort | factorization of abstract operators into two second degree operators and its applications to integro differential equations |
| topic | correct operator bijective operator factorization (decomposition) of linear operators Fredholm integro-differential equations boundary value problems exact solutions |
| url | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/692 |
| work_keys_str_mv | AT inparasidis factorizationofabstractoperatorsintotwoseconddegreeoperatorsanditsapplicationstointegrodifferentialequations AT eprovidas factorizationofabstractoperatorsintotwoseconddegreeoperatorsanditsapplicationstointegrodifferentialequations |