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Tikhonov Ivan Vladimirovich

Publications in Math-Net.Ru

  1. On multiple zeros of one entire function which is of interest for the theory of inverse problems

    Vladikavkaz. Mat. Zh., 27:1 (2025),  5–20
  2. Examples of generalized elementary solutions in linear inverse problems

    Chelyab. Fiz.-Mat. Zh., 7:4 (2022),  395–411
  3. On the connection of Bernstein and Kantorovich polynomials for a symmetric module function

    Vladikavkaz. Mat. Zh., 24:1 (2022),  87–99
  4. Comparative analysis of two-sided estimates of the central binomial coefficient

    Chelyab. Fiz.-Mat. Zh., 5:1 (2020),  70–95
  5. Generalized Popoviciu expansions for Bernstein polynomials of a rational module

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170 (2019),  71–117
  6. Algebraic representation for Bernstein polynomials on the symmetric interval and combinatorial relations

    Vladikavkaz. Mat. Zh., 21:3 (2019),  68–86
  7. On growth rate of coefficients in Bernstein polynomials for the standard modulus function on a symmetric interval

    Ufimsk. Mat. Zh., 10:3 (2018),  60–78
  8. Zeros distribution of a Mittag-Leffler type entire function with applications to the theory of inverse problems

    Chelyab. Fiz.-Mat. Zh., 2:4 (2017),  430–446
  9. Formulas for an explicit solution of the model nonlocal problem associated with the ordinary transport equation

    Mathematical notes of NEFU, 24:1 (2017),  57–73
  10. Structure of solutions for model inverse problem for the heat equation in classes of exponential growth functions

    Chelyab. Fiz.-Mat. Zh., 1:3 (2016),  37–62
  11. Computer analysis of the attractors of zeros for classical Bernstein polynomials

    Fundam. Prikl. Mat., 21:4 (2016),  151–174
  12. Bernstein polynomials for a standard module function on the symmetric interval

    Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016),  425–435
  13. Gluing rule for Bernstein polynomials on the symmetric interval

    Izv. Saratov Univ. Math. Mech. Inform., 15:3 (2015),  288–300
  14. Two-dimensional dynamic photonic crystal creation by means of three non-coplanar laser beams interference in colloidal CdSe/ZnS quantum dots solution

    Pis'ma v Zh. Èksper. Teoret. Fiz., 102:4 (2015),  240–244
  15. The module function approximation by Bernstein polynomials

    Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15,  6–40
  16. Optimization of a quantum tomography protocol for polarization qubits

    Pis'ma v Zh. Èksper. Teoret. Fiz., 91:12 (2010),  755–761
  17. A Generalized Ward Problem for Abstract Differential Equations

    Differ. Uravn., 41:3 (2005),  325–336
  18. Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term

    Mat. Zametki, 77:2 (2005),  273–290
  19. Exponential solubility classes in a problem for the heat equation with a non-local condition for the time averages

    Mat. Sb., 196:9 (2005),  71–102
  20. Uniqueness Classes in a Time-Nonlocal Problem for the Heat Equation and Complex Eigenfunctions of the Laplace Operator

    Differ. Uravn., 40:3 (2004),  396–405
  21. Abstract Differential Null-Equations

    Funktsional. Anal. i Prilozhen., 38:2 (2004),  65–70
  22. Uniqueness theorems for linear non-local problems for abstract differential equations

    Izv. RAN. Ser. Mat., 67:2 (2003),  133–166
  23. An Inverse Problem for a Differential Equation in a Banach Space and the Distribution of Zeros of an Entire Mittag-Leffler Function

    Differ. Uravn., 38:5 (2002),  637–644
  24. The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter

    Differ. Uravn., 36:8 (2000),  1132–1133
  25. On the solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space

    Differ. Uravn., 34:6 (1998),  841–843
  26. On the solvability of linear inverse problem with final overdetermination in a Banach space of $L^1$-type

    Fundam. Prikl. Mat., 4:2 (1998),  691–708
  27. Reconstruction of the nonhomogeneous term in an abstract evolution equation

    Izv. RAN. Ser. Mat., 58:2 (1994),  167–188
  28. Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form

    Mat. Zametki, 56:2 (1994),  99–113
  29. An Inverse Problem with Final Time Additional Condition for an Abstract Evolution Equation in an Ordered Banach Space

    Funktsional. Anal. i Prilozhen., 27:1 (1993),  81–83
  30. Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation

    Mat. Zametki, 51:2 (1992),  77–87
  31. On the connection between inverse problems with final and integral overdetermination

    Uspekhi Mat. Nauk, 47:4(286) (1992),  211–212


© Steklov Math. Inst. of RAS, 2025