Технология решения краевых задач для нелинейных систем функционально-дифференциальных уравнений точечного типа
A class of nonlinear functional-differential equations, including equations with deviating argument of various types with time-lag and advance, as well as combine both of these elements is considered. The proposed technology for solving boundary value problems is based on the Ritz method and spline collocation approaches. To solve the problem, we discretized system trajectories on the grid with a constant step and formulate the generalized residual functional, including both weighted residuals of the original differential equation and residuals of boundary conditions. The report examines a small collection of test problems designed with traditional technique. The results of computational experiments are carried out for all the problems from the test collection
There are considered the ways of the Zeeman laser gyro accuracy improvement owing to quasifourmode operation being realized by developed scheme and software. Experimental data proved the Zeeman laser gyro accuracy improvement by order are presented.
Creature questions of the mathematical, informational and programming support for the practice network community control are considered. Community mathematical model is proposed. This model utilization as basis for realization of the control system principal functions in the context of the participant interaction improvement and object community regions forming is considered.
For a functional differential system with continuous and discrete times, the general linear boundary value problem and the problem of control with respect to an on-target vector-functional are considered. Conditions for the solvability of the problems are obtained. Questions of computer-aided techniques for studying these problems are discussed.
This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.
The proposed training manual is designed to prepare undergraduate students in "Computer Science" and in "Computers, complexes, systems and networks." The manual is designed to prepare students principles of computer networks and technologies used in local area networks. The principles of the construction of computer networks and telecommunications systems interconnection model systems used for networks, data bases, organization channels of analog and digital communication lines via wired and wireless environments principles transmission control information, coding and data compression technology of modern local organizations networks (Ethernet, Token Ring, FDDI, Fast Ethernet, Gigabit Ethernet, 100VG-AnyLAN), network equipment LANs. The manual can be used by students to prepare for the performance of laboratory and practical work on the course "Computer Networks and Telecommunications", "Networking" and "Administering Network Systems".
We consider boundary value problems and transmission problems for strongly elliptic second-order systems with boundary conditions on a compact nonclosed Lipschitz surface S with Lipschitz boundary. The main goal is to find conditions for the unique solvability of these problems in the spaces Hs , the simplest L2-spaces of the Sobolev type, with the use of potential type operators on S. We also discuss, first, the regularity of solutions in somewhat more general Bessel potential spaces and Besov spaces and, second, the spectral properties of problems with spectral parameter in the transmission conditions on S, including the asymptotics of the eigenvalues.
A form for an unbiased estimate of the coefficient of determination of a linear regression model is obtained. It is calculated by using a sample from a multivariate normal distribution. This estimate is proposed as an alternative criterion for a choice of regression factors.