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Mat. Zametki, 2012, Volume 92, Issue 5, Pages 789–793 (Mi mz10132)  

This article is cited in 10 scientific papers (total in 10 papers)

Brief Communications

Solvability Conditions for Boundary-Value Problems for Elliptic Operator-Differential Equations with Discontinuous Coefficient

S. S. Mirzoyevab, A. R. Alievab, L. A. Rustamovac

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
c Institute of Applied Mathematics, Baku State University

Keywords: solvability condition, boundary-value problem, elliptic equation, Hilbert space, self-adjoint operator, the space $W_2^2(\mathbb R_+;H)$

DOI: https://doi.org/10.4213/mzm10132

Full text: PDF file (333 kB)
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English version:
Mathematical Notes, 2012, 92:5, 722–726

Bibliographic databases:

Received: 24.05.2012

Citation: S. S. Mirzoyev, A. R. Aliev, L. A. Rustamova, “Solvability Conditions for Boundary-Value Problems for Elliptic Operator-Differential Equations with Discontinuous Coefficient”, Mat. Zametki, 92:5 (2012), 789–793; Math. Notes, 92:5 (2012), 722–726

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. K. A. Kerimov, S. S. Mirzoyev, “On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition”, Math. Notes, 94:3 (2013), 330–334  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. A. R. Aliev, N. L. Muradova, “Third-order operator-differential equations with discontinuous coefficients and operators in the boundary conditions”, Electron. J. Differ. Equ., 2013, 219  mathscinet  zmath  isi
    3. Z. F. El-Raheem, A. H. Nasser, “On the spectral investigation of the scattering problem for some version of one-dimensional Schrödinger equation with turning point”, Bound. Value Probl., 2014, 97, 12 pp.  crossref  mathscinet  zmath  isi  scopus
    4. E. S. Al-Aidarous, A. R. Aliev, E. S. Rzayev, H. A. Zedan, “Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces”, Bound. Value Probl., 2015, 191  crossref  mathscinet  zmath  isi  elib  scopus
    5. S. S. Mirzoev, A. R. Aliev, G. M. Gasimova, “Solvability conditions of a boundary value problem with operator coefficients and related estimates of the norms of intermediate derivative operators”, Dokl. Math., 94:2 (2016), 566–568  crossref  mathscinet  zmath  isi  elib  scopus
    6. S. F. Babayeva, S. S. Mirzoyev, “Estimates of Norms of Operators of Intermediate Derivatives and Their Applications”, Math. Notes, 102:1 (2017), 124–127  mathnet  crossref  crossref  mathscinet  isi  elib
    7. A. R. Aliev, S. S. Mirzoev, M. A. Soylemezo, “On solvability of third-order operator differential equation with parabolic principal part in weighted space”, J. Funct. space, 2017, 2932134  crossref  mathscinet  zmath  isi  scopus
    8. Mukhtarov O.Sh., Aydemir K., “Discontinuous Sturm-Liouville Problems Involving An Abstract Linear Operator”, J. Appl. Anal. Comput., 10:4 (2020), 1545–1560  crossref  mathscinet  isi
    9. Kalemkush U.O., “On a Boundary Value Problem For Fourth-Order Operator-Differential Equations With a Variable Coefficient”, Azerbaijan J. Math., 10:1 (2020), 181–192  mathscinet  isi
    10. Mirzoev S.S. Rustamova L.A., “On a Boundary Value Problem For Second Order Operator Differential Equations”, Proceedings of the7Th International Conference on Control and Optimization With Industrial Applications, Vol. 1, ed. Fikret A. Tamer B., Baku State Univ, Inst Applied Mathematics, 2020, 287–289  mathscinet  isi
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