On the 80th anniversary of Academician F. L. Chernousko
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 1
Abstract
К 80-ЛЕТИЮ АКАДЕМИКА Ф. Л. ЧЕРНОУСЬКО
Authors and Affiliations
Д. Д. Лещенко
К 80-ЛЕТИЮ АКАДЕМИКА Ф. Л. ЧЕРНОУСЬКО
Д. Д. Лещенко
LINEAR DISCRETE SYSTEMS CONTROLLABILITY FROM A SET OF INITIAL STATES TO A TERMINAL SET
In the article we consider controllability conditions from an initial set to a terminal set for a linear non-homogenous discrete system. We introduce three types of controllability: from an initial set to a terminal set;...
DISTRIBUTION OF THE WEIGHTS OF THE KLOOSTERMAN CODE
Tran The Vinh. Distribution of the weights of the Kloosterman code. Studied 𝑝-ary Kloosterman codes of length 𝑝2 − 1 in alphabet F𝑞 which are the cyclic codes of the dual Melas code of length 𝑝2 − 1. We obtain the weight...
Estimates of the norms of Riesz derivatives of multivariate functions
Let Δ = 𝜕2 𝜕𝑥1 + ... + 𝜕2 𝜕𝑥𝑚 be the Laplace operator. We denote by 𝐿𝑠(R𝑚) (1 6 𝑠 6 ∞) the spaces of measurable functions 𝑓 : R𝑚 → R with a finite norm ‖𝑓‖𝑠. Let 𝐹 and 𝐸 be ideal lattices on R𝑚 with finite norms ‖ ・ ‖𝐹...
ON A STRESS–STATE OF AN ELASTIC SEMI–STRIP UNDER MECHANICAL AND THERMAL STRESSES
The new methodic of plane elasticity problems’ solving for the semi-infinite strip under the mechanical and thermal pressures is considered in the article. The sense of it is the applying of the integral Fourier transfor...
The 𝜏 (𝛼) function on the integer gaussian with fixed amount of the prime divisors
The distribution of the divisor’s function’s values 𝜏 (𝛼) over 𝑍[𝑖] in the arithmetical progressions with the growing progression’s difference was analized in present work. The asymptotic formulae for the sum function, w...