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Matematicheskie Zametki, 2013, Volume 94, Issue 3, Pages 349–353
DOI: https://doi.org/10.4213/mzm10305
(Mi mzm10305)
 

This article is cited in 1 scientific paper (total in 1 paper)

On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition

K. A. Kerimova, S. S. Mirzoyevba

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
b Baku State University
Full-text PDF (405 kB) Citations (1)
References:
Abstract: An operator-differential second-order equation with nonlocal boundary condition at zero is considered on the semiaxis. Here we give sufficient conditions on the operator coefficients for the regular solvability of the boundary-value problem. Moreover, we obtain conditions for the completeness and minimality of the derivative of the chain of eigen- and associated vectors generated by the boundary-value problem under study and establish the completeness and minimality of the decreasing elementary solutions of the operator-differential equation under consideration.
Keywords: operator-differential second-order equation, regular solvability of a boundary-value problem, Hilbert space, nonlocal boundary condition.
Received: 24.04.2013
English version:
Mathematical Notes, 2013, Volume 94, Issue 3, Pages 330–334
DOI: https://doi.org/10.1134/S0001434613090046
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. A. Kerimov, S. S. Mirzoyev, “On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition”, Mat. Zametki, 94:3 (2013), 349–353; Math. Notes, 94:3 (2013), 330–334
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm10305
  • https://doi.org/10.4213/mzm10305
  • https://www.mathnet.ru/eng/mzm/v94/i3/p349
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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