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UPPER BOUNDS FOR BEREZIN NUMBERS OF SELF-ADJOINT OPERATORS AND APPLICATIONS

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Authors: M. GARAYEV, H. GUEDIRI, F. S. N. ALSHORMANI

Keywords: Berezin symbol, Berezin number, self-adjoint operator, reproducing kernel

DOI:  https://doi.org/10.32010/j.bmj.2024.03

 

SOLVABILITY OF THE INVERSE SPECTRAL PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

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Authors: L. I. MAMMADOVA, I. M. NABIEV

Keywords: Sturm-Liouville operator, non-separated boundary conditions, spectrum, inverse problem.

DOI:  https://doi.org/10.32010/j.bmj.2024.02

 

ON THE ASYMPTOTICS OF EIGENVALUES OF THE NEUMANN PROBLEM FOR THE SCHRÖDINGER OPERATOR

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Authors: A. R. ALIEV, E. H. EYVAZOV

Keywords: Schrödinger operator, Neumann problem, spherical-symmetric potential, asymptotic formulas for eigenvalues

DOI:  https://doi.org/10.32010/j.bmj.2024.01

 

ON THE COMPLETENESS OF A SYSTEM OF DECREASING ELEMENTARY SOLUTIONS FOR ONE CLASS OF FOURTH-ORDER OPERATOR-DIFFERENTIAL EQUATIONS ON THE SEMI-AXIS

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Authors:  E. S. RZAYEV

Keywords: polynomial operator pencil, self-adjoint operator, operator-differential equation, derivative chain of eigen- and adjoined vectors, system of decreasing elementary solutions

DOI:  https://doi.org/10.32010/j.bmj.2023.18

 

ASYMPTOTICS OF EIGENVALUES AND EIGENFUNCTIONS OF A DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH A SPECTRAL PARAMETER IN THE TRANSMISSION CONDITION

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Authors: N. F. BASHIROVA, L. N. JAFAROVA

Keywords: boundary-value problem, eigenvalue, eigenfunction, asymptotics, transmission condition

DOI:  https://doi.org/10.32010/j.bmj.2023.17

 

  1. HARDY-CESARO MAXIMAL OPERATOR IN LEBESGUE-$BMO$ SPACES
  2. MAXIMAL OPERATOR IN WEIGHTED MORREY SPACES, ASSOCIATED WITH THE LAPLACE-BESSEL DIFFERENTIAL OPERATOR
  3. NONLINEAR INVERSE BOUNDARY VALUE PROBLEM FOR A SECOND ORDER PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
  4. OPTIMAL CONTROL OF A DYNAMIC SYSTEM WITH NON-SEPARADED POINT AND INTEGRAL CONDITIONS

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