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Matematicheskie Zametki, 2012, Volume 91, Issue 6, Pages 861–869
DOI: https://doi.org/10.4213/mzm9389 (Mi mzm9389) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Solvability of the Boundary-Value Problem for Second-Order Equations in Hilbert Space with an Operator Coefficient in the Boundary Condition

S. S. Mirzoevab, M. Yu. Salimova

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
Full-text PDF (422 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm9389
Abstract: We consider the boundary-value problem on a finite interval for a class of second-order operator-differential equations with a linear operator in one of its boundary conditions. We obtain sufficient conditions for the regular solvability of the boundary-value problem under consideration; these conditions are expressed only in terms of its operator coefficients.
Keywords: second-order operator-differential equation, boundary-value problem, Hilbert space, self-adjoint operator, square-integrable function, linear bounded operator, Banach inverse-operator theorem.
Received: 27.12.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 6, Pages 808–815
DOI: https://doi.org/10.1134/S0001434612050276
Bibliographic databases:
Document Type: Article
UDC: 517.96+517.43
Language: Russian
Citation: S. S. Mirzoev, M. Yu. Salimov, “On the Solvability of the Boundary-Value Problem for Second-Order Equations in Hilbert Space with an Operator Coefficient in the Boundary Condition”, Mat. Zametki, 91:6 (2012), 861–869; Math. Notes, 91:6 (2012), 808–815
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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