Boundary-value problem for second-order differential-operator equation with involution

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dc.citation.epage26
dc.citation.issue871
dc.citation.journalTitleВісник Національного університету «Львівська політехніка». Серія: Фізико-математичні науки
dc.citation.spage20
dc.contributor.affiliationНацiональний унiверситет “Львiвська полiтехнiка”
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorБаранецький, Я. О.
dc.contributor.authorКоляса, Л. І.
dc.contributor.authorBaranetskij, Ya. O.
dc.contributor.authorKolyasa, L. I.
dc.coverage.placenameЛьвів
dc.date.accessioned2018-09-21T10:19:45Z
dc.date.available2018-09-21T10:19:45Z
dc.date.created2017-03-28
dc.date.issued2017-03-28
dc.description.abstractВивчається нелокальна двоточкова задача для диференцiально-операторних рiвнянь з iнволюцi- єю. Встановлено спектральнi властивостi та умови iснування i єдиностi розв’язку. Наведено доста- тнi умови, за яких система кореневих функцiй задачi утворює базис Рiсса.
dc.description.abstractWe study a nonlocal problem for differential operator equations of order 2 with involution. The spectral properties of the operator of this problem are analyzed and the conditions for the existence and uniqueness of its solution are established. It is also proved that the system of eigenfunctions of the analyzed problem forms a Riesz basis.
dc.format.extent20-26
dc.format.pages7
dc.identifier.citationBaranetskij Ya. O. Boundary-value problem for second-order differential-operator equation with involution / Ya. O. Baranetskij, L. I. Kolyasa // Вісник Національного університету «Львівська політехніка». Серія: Фізико-математичні науки. — Львів : Видавництво Львівської політехніки, 2017. — № 871. — С. 20–26.
dc.identifier.citationenBaranetskij Ya. O. Boundary-value problem for second-order differential-operator equation with involution / Ya. O. Baranetskij, L. I. Kolyasa // Visnyk Natsionalnoho universytetu "Lvivska politekhnika". Serie: Fizyko-matematychni nauky. — Lviv : Vydavnytstvo Lvivskoi politekhniky, 2017. — No 871. — P. 20–26.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/42792
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.relation.ispartofВісник Національного університету «Львівська політехніка». Серія: Фізико-математичні науки, 871, 2017
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dc.relation.referencesen[27] Shkalikov A. A. On the basis problem of the ei- genfunctions of an ordinary differential operator, Uspekhi Mat. Nauk, 1979, 34, N 5, P. 235–236.
dc.relation.referencesen[28] D’yachenko A. V., Shkalikov A. A. On a Model Problem for the Orr-Sommerfeld Equation with Linear Profile, Funct. Anal. Appl, 2002, 36, N 3, P. 228–232.
dc.relation.referencesen[29] Tumanov S. N., Shkalikov A. A. On the Spectrum Localization of the Orr-Sommerfeld Problem for Large Reynolds Numbers, Math. Notes, 2002, 72, N 4. –P. 519–526.
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dc.relation.referencesen[31] Ashurov R. R. Biorthogonal expansions of a nonself- adjoint Schrdinger operator, Differ. Uravn, 1991. –27, N 1, P. 156–158.
dc.relation.referencesen[32] Lidskii V. B. An estimate for the resolvent of an elliptic differential operator, Funct. Anal. Appl, 1976, 10,N 4, P. 324–325.
dc.relation.referencesen[33] Makin A. S. Spectral analysis of a boundary value problem for the Schrodinger operator with complex potential, Differ. Uravn, 1994. –y 30, N 12. –P. 1903–1912.
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dc.rights.holderНаціональний університет „Львівська політехніка“, 2017
dc.rights.holder© Ya. O. Baranetskij, L. I. Kolyasa, 2017
dc.subjectдиференціальне рівняння
dc.subjectдиференціально-операторне рівняння
dc.subjectкоренева фун- кція
dc.subjectоператор інволюції
dc.subjectнесамоспряжений оператор
dc.subjectбазис Рісса
dc.subjectнелокальна задача
dc.subjectdifferential equation
dc.subjectdifferential operator equation
dc.subjectroot function
dc.subjectoperator of involution
dc.subjectessentially a nonself adjoint operator
dc.subjectRiesz basis
dc.subjectnonlocal problem
dc.subject.udc517.95
dc.titleBoundary-value problem for second-order differential-operator equation with involution
dc.title.alternativeКрайова задача для диференціально-операторного рівняння другого порядку з інволюцією
dc.typeArticle

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