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

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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

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Hits: 365

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

 

EULER-TYPE SYSTEM OF EQUATIONS IN VARIATIONAL PROBLEMS WITH DELAYED ARGUMENT

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Authors: A. M. ISAYEVA, M. J. MARDANOV

Keywords: variational problem with a delayed argument, necessary condition, system of Euler-type equations.

DOI:  https://doi.org/10.32010/j.bmj.2024.11

 

ON THE MINIMALITY OF A PART OF EIGEN- AND ASSOCIATED VECTORS FOR A CLASS OF THIRD-ORDER QUASI-ELLIPTIC OPERATOR PENCILS

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Hits: 356

Authors: A. T. GAZILOVA, S. S. MIRZOEV

Keywords: operator pencil, eigen- and associated vectors, decreasing elementary solutions, regular solution, internal
compactness, minimal system

DOI:  https://doi.org/10.32010/j.bmj.2024.10

 

ON AN INVERSE SCATTERING PROBLEM FOR THE QUADRATIC PENCIL OF THE STURM-LIOUVILLE OPERATOR WITH A PIECE-WISE CONSTANT COEFFICIENT

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Authors: A. A. NABIEV

Keywords: quadratic pencil of the Sturm-Liouville operator, scattering data,  Jost solution,  integral representation,  inverse scattering problem,  main integral equation

DOI:  https://doi.org/10.32010/j.bmj.2024.09

 

  1. THE REGULARIZED TRACE FORMULA FOR A DISCONTINUOUS STURM-LIOUVILLE PROBLEM WITH A SPECTRAL PARAMETER DEPENDENT JUMP CONDITION
  2. CONVERGENCE OF ITERATES OF PROBABILITY MEASURES ON LOCALLY COMPACT GROUPS
  3. ON THE SPECTRAL THEORY OF A FOURTH-ORDER DIFFERENTIAL PENCIL ON THE WHOLE REAL AXIS
  4. INVERSE NODAL PROBLEMS FOR PENCILS OF SINGULAR STURM-LIOUVILLE OPERATORS

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