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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 3, Pages 63–65
DOI: https://doi.org/10.4213/faa2996 (Mi faa2996) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Brief communications

On Boundary Value Problem Solvability Theory for a Class of High-Order Operator-Differential Equations

A. R. Alievab, S. S. Mirzoeva

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (158 kB) Citations (17)
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DOI: https://doi.org/10.4213/faa2996
Abstract: In this note, we establish sufficient conditions for the correct and unique solvability of various boundary value problems for a class of even-order operator-differential equations on the half-axis. These conditions are unimprovable in terms of operator coefficients of the equation. We note that the principal part of the equation under study suffers a discontinuity.
Keywords: Hilbert space, self-adjoint operator, operator-differential equation, discontinuous coefficient, regular solution, isomorphism, intermediate derivatives.
Received: 15.04.2009
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 3, Pages 209–211
DOI: https://doi.org/10.1007/s10688-010-0025-y
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. R. Aliev, S. S. Mirzoev, “On Boundary Value Problem Solvability Theory for a Class of High-Order Operator-Differential Equations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 63–65; Funct. Anal. Appl., 44:3 (2010), 209–211
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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