BakuMathj

THE A-INTEGRAL AND CALDERON-ZYGMUND OPERATORS

Authors: A. F. HUSEYNLI

Keywords: singular integral, Calderon-Zygmund operator, A-integral

DOI:  https://doi.org/10.32010/j.bmj.2024.16

 

REPRESENTATION OF SOLUTIONS OF M-SPECTRAL PROBLEM FOR DIFFUSION OPERATOR

Authors: E. BAS, M. KARAOGLAN, E. PANAKHOV

Keywords: M-derivative, diffusion operator, M-Laplace transform

DOI:  https://doi.org/10.32010/j.bmj.2024.15

 

MULTIPLE EIGENFUNCTION EXPANSION FOR ONE DIMENSIONAL SCHRÖDINGER EQUATION WITH PIECEWISE-CONSTANT COEFFICIENT

Authors: Sh. ANNAGHILI

Keywords: Schrödinger equation, scattering data, Jost solution

DOI:  https://doi.org/10.32010/j.bmj.2024.14

 

NECESSARY CONDITIONS FOR THE EXTREMUM IN NON-SMOOTH PROBLEMS OF VARIATIONAL CALCULUS WITH DELAY

Authors: G. V. HAJIEVA, T. K. MELIKOV

Keywords: calculus of variations, strong (weak) local minimum, necessary conditions, non-smooth problem with delay

DOI:  https://doi.org/10.32010/j.bmj.2024.13

 

ON THE BOUNDEDNESS OF THE RESOLVENT OF THE OPERATOR GENERATED BY PARTIAL OPERATOR-DIFFERENTIAL EXPRESSIONS OF HIGHER ORDER IN HILBERT SPACE

Authors: H. I. ASLANOV

Keywords: Hilbert space, operator-differential equation, resolvent, Fourier transformation, sef-adjoint operator, completely continuous operator, compactness, positive-definite operator

DOI:  https://doi.org/10.32010/j.bmj.2024.12

 

  1. EULER-TYPE SYSTEM OF EQUATIONS IN VARIATIONAL PROBLEMS WITH DELAYED ARGUMENT
  2. ON THE MINIMALITY OF A PART OF EIGEN- AND ASSOCIATED VECTORS FOR A CLASS OF THIRD-ORDER QUASI-ELLIPTIC OPERATOR PENCILS
  3. ON AN INVERSE SCATTERING PROBLEM FOR THE QUADRATIC PENCIL OF THE STURM-LIOUVILLE OPERATOR WITH A PIECE-WISE CONSTANT COEFFICIENT
  4. THE REGULARIZED TRACE FORMULA FOR A DISCONTINUOUS STURM-LIOUVILLE PROBLEM WITH A SPECTRAL PARAMETER DEPENDENT JUMP CONDITION

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