BakuMathj

ON THE USAGES OF GREEN’S FUNCTION ON TIME SCALES

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Authors: A. Ç. YAR, E. YILMAZ, S. GOKTAS

Keywords: time scales, Green’s function, conjugate problems, eigenvalue problems

DOI:  https://doi.org/10.32010/j.bmj.2025.10

VOLUME 5, ISSUE 1

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COVER and CONTENTS

1. On an approximate solution of one class of systems of integral equations of the second kind
    E. H. KHALILOV
    Baku Math J, 2026, 5 (1), 3-12
    DOI: https://doi.org/10.32010/j.bmj.2026.01     Full Text: PDF

2. The uniqueness of reconstruction of diffusion operators with boundary condition depending quadratically on the spectral parameter
    I. M. NABIEV, L. I. MAMMADOVA, G. S. MAMMEDZADEH
    Baku Math J, 2026, 5 (1), 13-22
    DOI: https://doi.org/10.32010/j.bmj.2026.02     Full Text: PDF

3. Variation of parameters and Hölder-type stability in unperturbed matrix differential systems with initial time difference
    C. YAKAR, D. KARSLIOĞLU
    Baku Math J, 2026, 5 (1), 23-40
    DOI: https://doi.org/10.32010/j.bmj.2026.03     Full Text: PDF

4. Finite simple groups in which all cyclic subgroups of prime power order are TI-subgroups
    Y. WANG, R. SHEN
    Baku Math J, 2026, 5 (1), 41-50
    DOI: https://doi.org/10.32010/j.bmj.2026.04     Full Text: PDF

5. The boundedness of maximal operators in Calderon weighted B-Morrey spaces
    S. H. KASUMOVA, S. Z. KHALIGOVA
    Baku Math J, 2026, 5 (1), 59-69
    DOI: https://doi.org/10.32010/j.bmj.2026.05    Full Text: PDF

6. f-Harmonic vectors fields with potential
    F. H. KOUDJO
    Baku Math J, 2026, 5 (1), 59-69
    DOI: https://doi.org/10.32010/j.bmj.2026.06     Full Text: PDF

7. Asymptotic behaviour of the skewness coefficient and excess kurtosis of the renewal-reward process with dependent components
    A. E. ABDULLAYEVA, R. T. ALIYEV
    Baku Math J, 2026, 5 (1), 70-76
    DOI: https://doi.org/10.32010/j.bmj.2026.07     Full Text: PDF

8. Inverse problem of determining initial conditions in a mixed problem for a two-dimensional hyperbolic equation
    Y. T. MEHRALIYEV, E. I. AZIZBAYOV
    Baku Math J, 2026, 5 (1), 77-93
    DOI: https://doi.org/10.32010/j.bmj.2026.08     Full Text: PDF

9. Formulas for the sums of some conditionally convergent series
   B. D. BARMAK
   Baku Math J, 2026, 5 (1), 94-99
   DOI: https://doi.org/10.32010/j.bmj.2026.09    Full Text: PDF

10. Boundedness of the d'iscrete Ahlfors-Beurling transform on discrete weighted Lebesgue spaces
   A. F. JABIYEV
   Baku Math J, 2026, 5 (1), 100-109
   DOI: https://doi.org/10.32010/j.bmj.2026.10    Full Text: PDF

11. Application of the finite integral transformation method to the solution of mixed problems for antiparabolic equations
   E. A. GASYMOV
   Baku Math J, 2026, 5 (1), 110-122
   DOI: https://doi.org/10.32010/j.bmj.2026.11     Full Text: PDF

CONDITIONS FOR THE EXISTENCE OF SMOOTH SOLUTIONS FOR A CLASS OF FOURTH ORDER OPERATOR-DIFFERENTIAL EQUATIONS

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Authors: A. R. ALIEV, N. L. MURADOVA

Keywords: operator-differential equation, smooth solution, self-adjoint operator, Hilbert space, intermediate derivative operators

DOI:  https://doi.org/10.32010/j.bmj.2022.01

 

QUADRATURE FORMULAS FOR SOME CLASSES OF CURVILINEAR INTEGRALS

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Authors: E. H. KHALILOV

Keywords: quadrature formulas, simple-layer potential, double-layer potential, Hankel function, curvilinear integral, Lyapunov curve

DOI:  https://doi.org/10.32010/j.bmj.2022.02

 

CONTROL OF HEATING PROCESS WITH FEEDBACK AT LUMPED POINTS

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Authors: V. M. ABDULLAYEV, S. S. JAFARLI, Y. M. MEHDIYEV

Abstract. In this work, a class of optimal control problems for a rod (plate) heating process with feedback, when the incoming information about the state of the process is continuously received only from its individual points, at which some temperature sensors are placed, is investigated. The heating process itself takes place in a stove at the expense of controlling the temperature inside the stove. The mathematical model of the controlled process is in both cases described by a punctual loaded parabolic type equation. In the work, we derive formulae for the gradient of the functional. Algorithms of numerical solutions to the considered problems are proposed.

Keywords: optimal control, principle of maximum, loade differential equations, non-separated conditions

DOI:  https://doi.org/10.32010/j.bmj.2022.03

 

  1. HARDY-LITTLEWOOD-STEIN-WEISS THEOREMS FOR RIESZ POTENTIALS IN MODIFIED MORREY SPACES
  2. UNIQUENESS OF THE SOLUTION OF THE INVERSE PROBLEM FOR DIFFERENTIAL OPERATOR WITH SEMISEPARATED BOUNDARY CONDITIONS
  3. CORRECT PROOF OF FINDING THE EXACT LOWER BOUND OF THE RAYLEIGH MAGNETIC VALUE
  4. A MIXED PROBLEM FOR A ONE-DIMENSIONAL VISCOELASTICITY EQUATION WITH NON-STATIONARY CONJUGATION CONDITIONS

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