Chebyshevskii Sb., 2019, Volume 20, Issue 4

JOURNALS // Chebyshevskii Sbornik // Archive

2019, Volume 20, Issue 4

	From the editor	3
	About the life and activities of academician Zarullo Husenovich Rakhmonov V. N. Chubarikov	6
	About one additive problem Hua Loo Keng's I. Allakov, A. Sh. Safarov	32
	On the exponents of the convergence of singular integrals and singular series of a multivariate problem L. G. Arkhipova, V. N. Chubarikov	46
	On irrationality measure $\mathop{\mathrm{arctg}}\frac{1}{2}$ M. G. Bashmakova, V. Kh. Salikhov	58
	On uniformly recurrent words generated by shifting segments, including with a change in orientation A. Ya. Belov, A. L. Chernyatiev	69
	On separation of a class of degenerate differential operators in the Lebesgue space M. G. Gadoev, S. A. Iskhokov, F. S. Iskhokov	86
	Application of integral formulas for solving ordinary differential equations of the second order with variable coefficients V. I. Gorbachev	108
	On semilattice of Linux processes' states N. N. Efanov	124
	Rauzy substitution and local structure of torus tilings A. A. Zhukova, A. V. Shutov	137
	On linear independence of functions differentiated with respect to parameter P. L. Ivankov	158
	Оn separability and coercive solvability of second-order nonlinear differential equations in the weight space O. Kh. Karimov	170
	Assessment of the necessary initial economic resource in the Ramsey–Kass–Koopmans problem A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii	188
	Optimal exponent in the Ramsey–Kass–Koopmans problem with logarithmic utility function A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii	197
	Functional differential inclusions of Hale type with fractional order of derivative in a Banach space M. I. Ilolov, D. N. Guljonov, J. Sh. Rahmatov	208
	On astimate of irrationality measure of the logariphms of some rational numbers M. Y. Luchin, V. H. Salikhov, E. S. Zolotukhina	226
	Integrals and indicators of subharmonic functions. II K. G. Malyutin, M. V. Kabanko, T. I. Malyutina	236
	On units of a quaternion order of an indefinite anisotropic ternary quadratic form U. M. Pachev, T. A. Shakova	270
	Short cubic exponential sums with Möbius function Z. Kh. Rakhmonov, F. Z. Rahmonov	281
	Zeros of the Davenport–Heilbronn function in short intervals of the critical line Z. Kh. Rakhmonov, Sh. A. Khayrulloev, A. S. Aminov	306
	On irrationality measure of $\ln{\frac{5}{3}}$ V. Kh. Salikhov, E. S. Zolotukhina, E. B. Tomashevskaya	330
	Approximation of $\ln{\frac{\sqrt{5}-1}{2}}$ by numbers of the field $\mathbb Q\left(\sqrt{5}\right)$ V. Kh. Salikhov, E. S. Zolotukhina	339
	On boundedness of period lengths of continued fractions of key elements hyperelliptic fields over the field of rational numbers G. V. Fedorov	357
	On the functions of Hardy zeros and its derivatives lying on the critical line Sh. A. Khayrulloev	371
	Some problems of approximation of periodic functions by trigonometric polynomials in $L_2$ M. Sh. Shabozov	385
	On the periodic part of the Shunkov group saturated with linear groups of degree 2 over finite fields of even characteristic A. A. Shlepkin	399

HISTORY OF MATHEMATICS AND APPLICATIONS
	Mathematical modeling of structural elements destruction under dynamic load G. M. Zhuravlev, V. G. Telichko, N. S. Kurien, A. E. Gvozdev, D. V. Maliy	408
	History of laser development and features of its application I. V. Minaev, A. N. Sergeev, A. N. Kubanova, N. M. Dobrovolskiy, A. E. Gvozdev, S. N. Kutepov, D. V. Maliy	423

MEMORABLE DATE
	Alexander Yakovlevich Khinchin (19.07.1894–18.11.1959) V. N. Chubarikov	439
	Nikolai Grigor'evich Chudakov V. N. Kuznetsov	446
	Scholar and teacher. To the 80th anniversary Vladislav IVanovich Rybakov (13.12.1939–27.09.2016) E. V. Manokhin, A. E. Ustyan, G. V. Kuznetsov	450