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Popov Anton Yur'evich

Publications in Math-Net.Ru

  1. Reduction of the mathematical model of some problems of mathematical economics to systems of differential equations that can be solved in quadratures

    Chebyshevskii Sb., 25:3 (2024),  187–200
  2. Lower average estimate for the minimum modulus on circles for an entire function of genus zero

    CMFD, 70:1 (2024),  150–162
  3. Extremal positivity problem for integrals of sine series with monotone coefficients

    Mat. Zametki, 116:2 (2024),  316–320
  4. Two-sided estimate for the derivative of the sum of sine series with convex sequence of coefficients

    Mat. Sb., 215:10 (2024),  114–145
  5. Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 4,  26–32
  6. About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth

    Chebyshevskii Sb., 24:2 (2023),  256–265
  7. Strengthening of Gaisin's lemma on the minimum modulus of even canonical products

    Chebyshevskii Sb., 24:1 (2023),  127–138
  8. Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation

    Mat. Zametki, 113:4 (2023),  544–559
  9. The method of approximate solution of a system of differential equations from the Ramsey–Kass–Koopmans model, based on the solution in quadratures of one subclass of similar systems

    Chebyshevskii Sb., 23:4 (2022),  115–125
  10. The consumption function in the Ramsey–Kass–Koopmans economic growth model in the case of a stationary saving function

    Chebyshevskii Sb., 23:1 (2022),  118–129
  11. Optimal Two-Sided Estimates on the Interval $[\pi/2,\pi]$ of the Sum of the Sine Series with Convex Coefficient Sequence

    Mat. Zametki, 112:2 (2022),  317–320
  12. Uniform with Respect to the Parameter $a\in(0,1)$ Two-Sided Estimates of the Sums of Sine and Cosine Series with Coefficients $1/k^a$ by the First Terms of Their Asymptotics

    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  177–190
  13. On scientific contacts with Sergei Aleksandrovich Telyakovskii

    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  164–176
  14. Lower Bound on the Minimum Modulus of an Analytic Function on a Circle in Terms of a Negative Power of Its Norm on a Larger Circle

    Trudy Mat. Inst. Steklova, 319 (2022),  223–250
  15. Lower bound for minimum of modulus of entire function of genus zero with positive roots in terms of degree of maximal modulus at frequent sequence of points

    Ufimsk. Mat. Zh., 14:4 (2022),  80–99
  16. Restrictions on the values of the consumption function in the Ramsey — Kass — Koopmans economic growth model in the case of a stationary saving function

    Chebyshevskii Sb., 22:2 (2021),  501–509
  17. Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function

    Chebyshevskii Sb., 22:2 (2021),  121–134
  18. Sub-Riemannian Engel sphere

    Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  97–101
  19. On the Positivity of Average Sums of Sine Series with Monotone Coefficients

    Mat. Zametki, 110:4 (2021),  630–634
  20. Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients

    Mat. Zametki, 109:5 (2021),  768–780
  21. Two-sided estimates of the central binomial coefficient

    Chelyab. Fiz.-Mat. Zh., 5:1 (2020),  56–69
  22. On the Ramsey–Cass–Koopmans problem for consumer choice

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182 (2020),  39–44
  23. Two-Sided Estimates of the $L^\infty$-Norm of the Sum of a Sine Series with Monotone Coefficients $\{b_k\}$ via the $\ell^\infty$-Norm of the Sequence $\{kb_k\}$

    Mat. Zametki, 108:4 (2020),  483–489
  24. Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

    Rus. J. Nonlin. Dyn., 16:1 (2020),  195–208
  25. Optimal exponent in the Ramsey–Kass–Koopmans problem with logarithmic utility function

    Chebyshevskii Sb., 20:4 (2019),  197–207
  26. Assessment of the necessary initial economic resource in the Ramsey–Kass–Koopmans problem

    Chebyshevskii Sb., 20:4 (2019),  188–196
  27. New lower bound for the modulus of an analytic function

    Chelyab. Fiz.-Mat. Zh., 4:2 (2019),  155–164
  28. Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant

    Mat. Zametki, 104:5 (2018),  725–736
  29. New Two-Sided Estimates of the Gamma Function and the Number of $n$-Combinations of $2n$ Elements. Strong Enveloping by an Asymptotic Series

    Mat. Zametki, 103:5 (2018),  785–789
  30. Two-side bound of a root of an equation containing complete elliptic integrals

    Program Systems: Theory and Applications, 9:4 (2018),  253–264
  31. Two-sided estimates of gamma-function on the real semiaxis

    Chebyshevskii Sb., 18:2 (2017),  205–221
  32. The upper bound of the remainder of power series with positive coefficients of a special class

    Chelyab. Fiz.-Mat. Zh., 2:2 (2017),  193–198
  33. Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

    Regul. Chaotic Dyn., 22:8 (2017),  949–954
  34. The negative parts of the sums of sine series with quasimonotonic coefficients

    Mat. Sb., 208:6 (2017),  146–169
  35. Asymptotics of a section by a plane of the sub-Riemannian sphere on the Engel group near abnormal trajectory

    Program Systems: Theory and Applications, 7:4 (2016),  161–176
  36. Minimization of the least upper bound of the real parts of quasipolynomial roots and the limit stability degree of linear dynamic feedback system

    Avtomat. i Telemekh., 2015, no. 7,  3–25
  37. A refinement of Gol'dberg's theorem on estimating the type with respect to a proximate order of an entire function of integer order

    Mat. Sb., 206:12 (2015),  119–144
  38. Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients

    Mat. Zametki, 96:5 (2014),  747–761
  39. Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4,  51–55
  40. Development of the Valiron–Levin theorem on the least possible type of entire functions with a given upper $\rho$-density of roots

    CMFD, 49 (2013),  132–164
  41. The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros

    Mat. Sb., 204:5 (2013),  67–108
  42. Estimate for the integral of the absolute value of a sine series with monotone coefficients

    Trudy Mat. Inst. Steklova, 280 (2013),  270–274
  43. Algorithms for evaluation position and orientation of UAV

    Program Systems: Theory and Applications, 3:3 (2012),  23–39
  44. Distribution of roots of Mittag-Leffler functions

    CMFD, 40 (2011),  3–171
  45. On the reconstruction of functions by the values of the $n$th differences with step $1/n$

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  178–185
  46. Minimum of power consumption in the problem of oscillation damping

    Avtomat. i Telemekh., 2009, no. 4,  172–178
  47. On the Least Type of an Entire Function of Order $\rho$ with Roots of a Given Upper $\rho$-Density Lying on One Ray

    Mat. Zametki, 85:2 (2009),  246–260
  48. To the problem of the recovery of nonlinearities in equations of mathematical physics

    Tr. Semim. im. I. G. Petrovskogo, 27 (2009),  74–123
  49. Explicit solution for the incommensurable frequency oscillation control problem under limited resource control

    Avtomat. i Telemekh., 2008, no. 4,  59–71
  50. Integral minimization of the second derivative module of the boundary control of string vibrations with the fixed end

    Avtomat. i Telemekh., 2007, no. 2,  127–137
  51. Lower Bounds for Positive and Negative Parts of Measures and the Arrangement of Singularities of Their Laplace Transforms

    Mat. Zametki, 82:1 (2007),  84–98
  52. Asymptotic behavior of the density of the spectral measure of the Sturm–Liouville operator on the half-line with the boundary condition $y(0)=0$

    Differ. Uravn., 42:10 (2006),  1337–1348
  53. On the number of real eigenvalues of a certain boundary-value problem for a second-order equation with fractional derivative

    Fundam. Prikl. Mat., 12:6 (2006),  137–155
  54. 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
  55. The least possible type under the order $\rho$ of canonical products with positive zeros of a given upper $\rho$-density

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 1,  31–36
  56. Asymptotic Behavior of the Density of the Spectral Measure of the Singular Sturm–Liouville Operator

    Differ. Uravn., 40:4 (2004),  485–499
  57. 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
  58. On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$

    Izv. RAN. Ser. Mat., 68:5 (2004),  189–212
  59. Asymptotic Behavior of the Spectral Measure of a Singular Sturm–Liouville Operator

    Mat. Zametki, 75:3 (2004),  455–458
  60. Estimates of the Sums of Sine Series with Monotone Coefficients of Certain Classes

    Mat. Zametki, 74:6 (2003),  877–888
  61. The Spectral Values of a Boundary Value Problem and the Zeros of Mittag-Leffer Functions

    Differ. Uravn., 38:5 (2002),  611–621
  62. Correctness of Dorodnitsyn's Method for Approximate Calculation of Eigenvalues in a Class of Boundary Value Problems

    Differ. Uravn., 38:4 (2002),  471–476
  63. Analogues of Tauberian theorems for the Laplace transform

    Izv. RAN. Ser. Mat., 66:6 (2002),  137–158
  64. Bounds for convergence and uniqueness in Abel–Goncharov interpolation problems

    Mat. Sb., 193:2 (2002),  97–128
  65. On the Ostrovskii–Peresyolkova conjecture about zeros of the Mittag-Leffler functions

    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  160–174
  66. Asymptotic behavior of the spectral measure of the operator family $-y''-\varepsilon xy$

    Differ. Uravn., 36:3 (2000),  336–344
  67. On estimates for partial sums of Fourier series of functions of bounded variation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 1,  51–55
  68. An estimate for the best approximation of solutions of the Sturm–Liouville equation with an analytic potential by partial sums of asymptotic series

    Differ. Uravn., 35:4 (1999),  498–506
  69. Estimates for the coefficients of asymptotic series for solutions of the Sturm–Liouville equation wtih an analytic potential. II

    Differ. Uravn., 35:3 (1999),  403–410
  70. Estimates for the coefficients of asymptotic series for solutions of the Sturm–Liouville equation with an analytic potential. I

    Differ. Uravn., 35:2 (1999),  280–284
  71. On inversion of the generalized Borel transform

    Fundam. Prikl. Mat., 5:3 (1999),  817–841
  72. Extremal problems in the theory of analytic continuation

    Mat. Sb., 190:5 (1999),  113–138
  73. On the completeness of systems of exponentials with real exponents of a given upper density in the space of analytic functions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  48–52
  74. On the completeness of systems of Gauss hypergeometric functions

    Differ. Uravn., 34:5 (1998),  595–608
  75. Asymptotic behavior of spectral functions of the differential operators $-y''-\varepsilon x^2y$

    Mat. Zametki, 63:2 (1998),  302–306
  76. The works of S. B. Stechkin on number theory

    Fundam. Prikl. Mat., 3:4 (1997),  1029–1042
  77. Asymptotic behavior of the spectral function of an operator family

    Mat. Zametki, 61:5 (1997),  793–796
  78. Extremum problems for functions with small support

    Mat. Zametki, 60:3 (1996),  323–332
  79. The moments problem for rapidly decreasing functions

    Mat. Zametki, 60:1 (1996),  66–74
  80. The asymptotic distribution of prime numbers on the average

    Uspekhi Mat. Nauk, 51:6(312) (1996),  21–88
  81. Rate of divergence of some integrals

    Mat. Zametki, 58:2 (1995),  243–255
  82. Congruence functions

    Mat. Zametki, 49:5 (1991),  97–103
  83. Approximations of the values of some infinite products

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 6,  3–6
  84. Functions integral at points of a geometric progression

    Mat. Zametki, 46:3 (1989),  68–73

  85. Letter to the editor: Extremum problems for functions with small support

    Mat. Zametki, 68:3 (2000),  479
  86. Sergei Borisovich Stechkin (obituary)

    Uspekhi Mat. Nauk, 51:6(312) (1996),  3–10

© Steklov Math. Inst. of RAS, 2025