Publications in Math-Net.Ru |
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2020 |
1. |
A. Yu. Popov, “Two-sided estimates of the central binomial coefficient”, Chelyab. Fiz.-Mat. Zh., 5:1 (2020), 56–69 |
2. |
A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “On the Ramsey–Cass–Koopmans problem for consumer choice”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 182 (2020), 39–44 |
3. |
E. D. Alferova, A. Yu. Popov, “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 ; Math. Notes, 108:4 (2020), 471–476 |
4. |
A. P. Mashtakov, A. Yu. Popov, “Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space”, Nelin. Dinam., 16:1 (2020), 195–208 |
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2019 |
5. |
A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “Optimal exponent in the Ramsey–Kass–Koopmans problem with logarithmic utility function”, Chebyshevskii Sb., 20:4 (2019), 197–207 |
6. |
A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, “Assessment of the necessary initial economic resource in the Ramsey–Kass–Koopmans problem”, Chebyshevskii Sb., 20:4 (2019), 188–196 |
7. |
A. Yu. Popov, “New lower bound for the modulus of an analytic function”, Chelyab. Fiz.-Mat. Zh., 4:2 (2019), 155–164 |
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2018 |
8. |
A. Yu. Popov, A. P. Solodov, “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 ; Math. Notes, 104:5 (2018), 702–711 |
9. |
A. Yu. Popov, “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 ; Math. Notes, 103:5 (2018), 852–855 |
10. |
A. Yu. Popov, Yu. L. Sachkov, “Two-side bound of a root of an equation containing complete elliptic integrals”, Program Systems: Theory and Applications, 9:4 (2018), 253–264 |
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2017 |
11. |
A. Yu. Popov, “Two-sided estimates of gamma-function on the real semiaxis”, Chebyshevskii Sb., 18:2 (2017), 205–221 |
12. |
A. Yu. Popov, “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 |
13. |
Alexey P. Mashtakov, A. Yu. Popov, “Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space”, Regul. Chaotic Dyn., 22:8 (2017), 949–954 |
14. |
A. Yu. Popov, A. P. Solodov, “The negative parts of the sums of sine series with quasimonotonic coefficients”, Mat. Sb., 208:6 (2017), 146–169 ; Sb. Math., 208:6 (2017), 878–901 |
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2016 |
15. |
A. Yu. Popov, “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 |
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2015 |
16. |
A. Yu. Popov, S. S. Pukhov, A. M. Tsirlin, “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, 7, 3–25 ; Autom. Remote Control, 76:7 (2015), 1137–1155 |
17. |
F. S. Myshakov, A. Yu. Popov, “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 ; Sb. Math., 206:12 (2015), 1771–1796 |
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2014 |
18. |
A. Yu. Popov, “Estimates of the Least Positive Root of the Sum of a Sine Series with Monotone Coefficients”, Mat. Zametki, 96:5 (2014), 747–761 ; Math. Notes, 96:5 (2014), 753–766 |
19. |
A. Yu. Popov, A. P. Solodov, “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, 4, 51–55 ; Moscow University Mathematics Bulletin, 69:4 (2014), 169–173 |
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2013 |
20. |
A. Yu. Popov, “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 ; Journal of Mathematical Sciences, 211:4 (2015), 579–616 |
21. |
A. Yu. Popov, “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 ; Sb. Math., 204:5 (2013), 683–725 |
22. |
A. Yu. Popov, S. A. Telyakovskii, “Estimate for the integral of the absolute value of a sine series with monotone coefficients”, Tr. Mat. Inst. Steklova, 280 (2013), 270–274 ; Proc. Steklov Inst. Math., 280 (2013), 263–267 |
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2012 |
23. |
A. A. Ardentov, I. Yu. Beschatny, A. P. Mashtakov, A. Yu. Popov, Yu. L. Sachkov, E. F. Sachkova, “Algorithms for evaluation position and orientation of UAV”, Program Systems: Theory and Applications, 3:3 (2012), 23–39 |
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2011 |
24. |
A. Yu. Popov, A. M. Sedletskii, “Distribution of roots of Mittag-Leffler functions”, CMFD, 40 (2011), 3–171 ; Journal of Mathematical Sciences, 190:2 (2013), 209–409 |
25. |
S. V. Konyagin, A. Yu. Popov, “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 ; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 113–120 |
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2009 |
26. |
A. Yu. Popov, “Minimum of power consumption in the problem of oscillation damping”, Avtomat. i Telemekh., 2009, 4, 172–178 ; Autom. Remote Control, 70:4 (2009), 721–727 |
27. |
A. Yu. Popov, “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 ; Math. Notes, 85:2 (2009), 226–239 |
28. |
A. S. Demidov, A. S. Kochurov, A. Yu. Popov, “To the problem of the recovery of nonlinearities in equations of mathematical physics”, Tr. Semim. im. I. G. Petrovskogo, 27 (2009), 74–123 ; J. Math. Sci. (N. Y.), 163:1 (2009), 46–77 |
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2008 |
29. |
A. Yu. Popov, “Explicit solution for the incommensurable frequency oscillation control problem under limited resource control”, Avtomat. i Telemekh., 2008, 4, 59–71 ; Autom. Remote Control, 69:4 (2008), 597–608 |
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2007 |
30. |
A. Yu. Popov, “Integral minimization of the second derivative module of the boundary control of string vibrations with the fixed end”, Avtomat. i Telemekh., 2007, 2, 127–137 ; Autom. Remote Control, 68:2 (2007), 327–336 |
31. |
A. Yu. Popov, A. P. Solodov, “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 ; Math. Notes, 82:1 (2007), 75–87 |
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2006 |
32. |
A. S. Pechentsov, A. Yu. Popov, “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 ; Differ. Equ., 42:10 (2006), 1404–1417 |
33. |
A. Yu. Popov, “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 ; J. Math. Sci., 151:1 (2008), 2726–2740 |
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2005 |
34. |
A. Yu. Popov, I. V. Tikhonov, “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 ; Sb. Math., 196:9 (2005), 1319–1348 |
35. |
A. Yu. Popov, “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, 1, 31–36 |
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2004 |
36. |
A. S. Pechentsov, A. Yu. Popov, “Asymptotic Behavior of the Density of the Spectral Measure of the Singular Sturm–Liouville Operator”, Differ. Uravn., 40:4 (2004), 485–499 ; Differ. Equ., 40:4 (2004), 524–541 |
37. |
A. Yu. Popov, I. V. Tikhonov, “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 ; Differ. Equ., 40:3 (2004), 428–437 |
38. |
A. Yu. Popov, “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 ; Izv. Math., 68:5 (2004), 1025–1049 |
39. |
A. S. Pechentsov, A. Yu. Popov, “Asymptotic Behavior of the Spectral Measure of a Singular Sturm–Liouville Operator”, Mat. Zametki, 75:3 (2004), 455–458 ; Math. Notes, 75:3 (2004), 420–425 |
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2003 |
40. |
A. Yu. Popov, “Estimates of the Sums of Sine Series with Monotone Coefficients of Certain Classes”, Mat. Zametki, 74:6 (2003), 877–888 ; Math. Notes, 74:6 (2003), 829–840 |
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2002 |
41. |
A. Yu. Popov, “The Spectral Values of a Boundary Value Problem and the Zeros of Mittag-Leffer Functions”, Differ. Uravn., 38:5 (2002), 611–621 ; Differ. Equ., 38:5 (2002), 642–653 |
42. |
V. A. Sadovnichii, V. V. Dubrovskii, E. M. Maleko, A. Yu. Popov, “Correctness of Dorodnitsyn's Method for Approximate Calculation of Eigenvalues in a Class of Boundary Value Problems”, Differ. Uravn., 38:4 (2002), 471–476 ; Differ. Equ., 38:4 (2002), 490–495 |
43. |
A. Yu. Popov, Yu. S. Chainikov, “Analogues of Tauberian theorems for the Laplace transform”, Izv. RAN. Ser. Mat., 66:6 (2002), 137–158 ; Izv. Math., 66:6 (2002), 1219–1242 |
44. |
A. Yu. Popov, “Bounds for convergence and uniqueness in Abel–Goncharov interpolation
problems”, Mat. Sb., 193:2 (2002), 97–128 ; Sb. Math., 193:2 (2002), 247–277 |
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2001 |
45. |
A. Yu. Popov, “On the Ostrovskii–Peresyolkova conjecture about zeros of the Mittag-Leffler functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001), 160–174 ; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S167–S182 |
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2000 |
46. |
A. S. Pechentsov, A. Yu. Popov, “Asymptotic behavior of the spectral measure of the operator family $-y"-\varepsilon xy$”, Differ. Uravn., 36:3 (2000), 336–344 ; Differ. Equ., 36:3 (2000), 377–387 |
47. |
A. Yu. Popov, S. A. Telyakovskii, “On estimates for partial sums of Fourier series of functions of bounded variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 1, 51–55 ; Russian Math. (Iz. VUZ), 44:1 (2000), 50–54 |
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1999 |
48. |
V. A. Sadovnichii, A. Yu. Popov, “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 ; Differ. Equ., 35:4 (1999), 498–506 |
49. |
V. A. Sadovnichii, A. Yu. Popov, “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 ; Differ. Equ., 35:3 (1999), 406–413 |
50. |
V. A. Sadovnichy, A. Yu. Popov, “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 ; Differ. Equ., 35:2 (1999), 284–288 |
51. |
A. Yu. Popov, “On inversion of the generalized Borel transform”, Fundam. Prikl. Mat., 5:3 (1999), 817–841 |
52. |
A. Yu. Popov, “Extremal problems in the theory of analytic continuation”, Mat. Sb., 190:5 (1999), 113–138 ; Sb. Math., 190:5 (1999), 737–761 |
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1998 |
53. |
V. A. Sadovnichii, A. Yu. Popov, “On the completeness of systems of Gauss hypergeometric functions”, Differ. Uravn., 34:5 (1998), 595–608 ; Differ. Equ., 34:5 (1998), 596–609 |
54. |
A. S. Pechentsov, A. Yu. Popov, “Asymptotic behavior of spectral functions of the differential operators $-y"-\varepsilon x^2y$”, Mat. Zametki, 63:2 (1998), 302–306 ; Math. Notes, 63:2 (1998), 264–268 |
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1997 |
55. |
A. Yu. Popov, “The works of S. B. Stechkin on number theory”, Fundam. Prikl. Mat., 3:4 (1997), 1029–1042 |
56. |
A. S. Pechentsov, A. Yu. Popov, “Asymptotic behavior of the spectral function of an operator family”, Mat. Zametki, 61:5 (1997), 793–796 ; Math. Notes, 61:5 (1997), 664–668 |
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1996 |
57. |
N. N. Andreev, S. V. Konyagin, A. Yu. Popov, “Extremum problems for functions with small support”, Mat. Zametki, 60:3 (1996), 323–332 ; Math. Notes, 60:3 (1996), 241–247 |
58. |
A. Yu. Popov, “The moments problem for rapidly decreasing functions”, Mat. Zametki, 60:1 (1996), 66–74 ; Math. Notes, 60:1 (1996), 49–55 |
59. |
S. B. Stechkin, A. Yu. Popov, “The asymptotic distribution of prime numbers on the average”, Uspekhi Mat. Nauk, 51:6(312) (1996), 21–88 ; Russian Math. Surveys, 51:6 (1996), 1025–1092 |
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1995 |
60. |
S. V. Konyagin, A. Yu. Popov, “Rate of divergence of some integrals”, Mat. Zametki, 58:2 (1995), 243–255 ; Math. Notes, 58:2 (1995), 841–849 |
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1991 |
61. |
A. Yu. Popov, “Congruence functions”, Mat. Zametki, 49:5 (1991), 97–103 ; Math. Notes, 49:5 (1991), 509–513 |
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1990 |
62. |
A. Yu. Popov, “Approximations of the values of some infinite products”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, 6, 3–6 |
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1989 |
63. |
A. Yu. Popov, “Functions integral at points of a geometric progression”, Mat. Zametki, 46:3 (1989), 68–73 ; Math. Notes, 46:3 (1989), 723–726 |
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2000 |
64. |
N. N. Andreev, S. V. Konyagin, A. Yu. Popov, “Letter to the editor: Extremum problems for functions with small support”, Mat. Zametki, 68:3 (2000), 479 ; Math. Notes, 68:3 (2000), 415 |
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1996 |
65. |
O. V. Besov, V. M. Buchstaber, A. G. Vitushkin, A. A. Gonchar, S. V. Konyagin, L. D. Kudryavtsev, S. M. Nikol'skii, S. P. Novikov, Yu. S. Osipov, A. Yu. Popov, V. A. Sadovnichii, A. F. Sidorov, Yu. N. Subbotin, S. A. Telyakovskii, P. L. Ul'yanov, N. I. Chernykh, “Sergei Borisovich Stechkin (obituary)”, Uspekhi Mat. Nauk, 51:6(312) (1996), 3–10 ; Russian Math. Surveys, 51:6 (1996), 1007–1014 |
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