Convergence and stability analysis of kolmogorov system solutions in infinite-dimensional space

© Medwell Journals, 2017.The study studied the issues of convergence and stability of some calculation system solutions for linear differential equations, namely Kolmogorov's calculation systems in infinite-dimensional space on the basis of local integrability, non-negative coefficients and diagonal dominance properties. The conditions for operators were found with which they solve some problems of these system solution convergence and stability. On the basis of the local integrability, non-negative coefficients and diagonal dominance properties the sufficient conditions were obtained which guarantee the stability and the convergence of Kolmogorov's countable system solutions. The results of the study may be applied during the analysis of technical system various models, particularly the telecommunication system models. Besides, the results of Kolmogorov's system analysis can be used for biological system modeling. The study develops the approach to the qualitative research of Kolmogorov's systems based on the distribution of differential equation qualitative theory in infinite-dimensional spaces on Kolmogorov's systems that allowed to obtain a number of new results. Strict substantiations of the statements are presented concerning the qualitative behavior of solutions for some calculation systems of linear differential equations. One may formulate similar statements for infinite reproduction and death systems which are the particular cases of Kolmogorov's systems as the results of obtained statements

HIGH-POWER RADIO FREQUENCY GENERATOR USING MOSFETS

Radio frequency (RF) energy is widely used in various fields. Traditional construction of transistor-based RF generators utilizes specialized costly RF transistors. In this study an RF generator has been constructed using standard non-specialized MOSFETs and Current Mode Class D circuit

IP-CORE OF HARDWARE MULTIPLIER OF INTEGER FOR VLSI FUNCTION-ORIENTED PROCESSOR

The article discusses using the algorithm for parallel multiplication of integers in two's complement code for increasing the speed of the multiplication in function-oriented processors. The results of prototyping a multiplier circuit using FPGA technology are presented

ПОВЫШЕНИЕ ТОЧНОСТИ ИЗМЕРЕНИЙ РАДИОИЗОТОПНОГО ПЛОТНОМЕРА

The experimental investigations of spatial energy distribution for beta particles in a measuring gap of a basis weight sensor are described. We propose the measurement procedure, which employs a local domain of the ionization chamber input window. The average scattering angles in polyethylenterephtalate films are determined. Suggested technical solutions allow more then three times to reduce the error of measuring of radioisotope densitometer.Проведены экспериментальные исследования пространственного распределения рассеянных бета-частиц в измерительном зазоре радиоизотопного плотномера. Предложена схема измерений, основанная на использовании локальной области входного окна ионизационной камеры. Определены средние углы рассеяния в пленках полиэтилентерефталата. Предложено техническое решение, позволяющее более чем в 3 раза снизить погрешность измерений радиоизотопного плотномера.