Factorization of abstract operators into two second degree operators and its applications to integro-differential equations
| dc.contributor.author | Parasidis, I.N. | |
| dc.contributor.author | Providas, E. | |
| dc.date.accessioned | 2024-05-15T10:52:37Z | |
| dc.date.available | 2024-05-15T10:52:37Z | |
| dc.date.issued | 2024-03-30 | |
| dc.description.abstract | 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. | ru_RU |
| dc.identifier.citation | Parasidis I.N. Factorization of abstract operators into two second degree operators and its applications to integro-differential equations/I.N. Parasidis, E. Providas//Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series. -2024. №1. Р.149-161. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/18400 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Академик Е.А. Бөкетов атындағы Қарағанды университеті | ru_RU |
| dc.relation.ispartofseries | Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series.;№1(113)/2024 | |
| dc.subject | correct operator | ru_RU |
| dc.subject | bijective operator | ru_RU |
| dc.subject | factorization (decomposition) of linear operators | ru_RU |
| dc.subject | Fredholm integro-differential equations | ru_RU |
| dc.subject | boundary value problems | ru_RU |
| dc.subject | exact solutions | ru_RU |
| dc.title | Factorization of abstract operators into two second degree operators and its applications to integro-differential equations | ru_RU |
| dc.title.alternative | абстрактілі операторларды екінші дәрежелі екі операторға факторизациялау және оны интегралдық дифференциалдық теңдеулерге қолдану | ru_RU |
| dc.title.alternative | Факторизация абстрактных операторов на два оператора второй степени и ее приложения к интегро-дифференциальным уравнениям | ru_RU |
| dc.type | Article | ru_RU |