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## The technology for solving the boundary value problems for systems of functional-differential equations of point type

P. 189–190.

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.

Chadov A. L., Maksimov V. P., Functional Differential Equations 2012 Vol. 19 No. 1-2 P. 49–62

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. ...

Added: November 13, 2012

Болнокин В. Е., Ivashov E., Князева М. П. et al., Вестник машиностроения, СТИН 2014 № 7 С. 12–15

The modelling of the problem of rational replacement of equipment, operational costs on which increase as a result of its wear is considered. The discrete character of operation control of modern equipment is conditioned by hierarchical structure and formation of control as a set of alternative variants. ...

Added: September 23, 2014

Gerami V., Kolik A., Shidlovskii I., Логистика и управление цепями поставок 2017 № 5 (82) С. 103–116

A new improved algorithm to optimize the parameters of a diversified supply strategy considering the transportation features for the EOQ-models is proposed. When optimizing decisions it will allow for the first time to take into account the following attributes of the simulated supply chain: 1) cargo capacity of the vehicles used; 2) a possibility of ...

Added: October 18, 2017

Beklaryan L. A., Beklaryan A., Journal of machine learning and data analysis 2018 Vol. 4 No. 4 P. 220–234

The problem of existence of soliton solutions (solutions of the traveling wave type) for the Korteweg-de Vries equation with a polynomial potential is considered on the basis of the approach within which the presence of a one-to-one correspondence of such solutions with solutions of the induced functional differential equation of pointwise type is demonstrated. On ...

Added: January 11, 2019

Agranovich M. S., Switzerland: Springer, 2015

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for strongly elliptic systems.
The author, who is a prominent expert ...

Added: October 24, 2016

Chadov A. L., Вестник Пермского научного центра 2013 № 3 С. 13–25

The main results obtained during the project № 10-01-96054 “Mathematical and computer
modeling of ecological and economic state for a region: problems of identification, forecasting,
attainability and control” are described in this paper in a popular form. The aim of the project was to
develop mathematical and software bases for construction of mathematical models complex of
ecological and economic ...

Added: October 25, 2013

Izmailov P., Kropotov D., Journal of machine learning and data analysis 2017 Vol. 3 No. 1 P. 20–35

Background: Gaussian processes (GP) provide an elegant and effective approach to learning in kernel machines. This approach leads to a highly interpretable model and allows using the Bayesian framework for model adaptation and incorporating the prior knowledge about the problem. The GP framework is successfully applied to regression, classification, and dimensionality reduction problems. Unfortunately, the ...

Added: December 6, 2018

Maksimov V. P., Chadov A. L., Известия высших учебных заведений. Математика 2012 № 9 С. 72–76

We consider control problems for linear systems of functional-differential equations with both continuous and discrete time variables. The goal of controlling the systemunder consideration is prescribed by a finite set of linear functionals. The number of these functionals is independent of the dimension of the system. We describe the subset of controls generated by a ...

Added: November 13, 2012

Zlotnik A.A., Zlotnik I.A., Doklady Mathematics 2017 Vol. 95 No. 2 P. 129–135

A new fast direct algorithm for implementing a finite element method (FEM) of order on rectangles as applied to boundary value problems for Poisson-type equations is described that extends a well-known algorithm for the case of difference schemes or bilinear finite elements (n = 1). Its core consists of fast direct and inverse algorithms for ...

Added: February 28, 2017

Agranovich M. S., Functional Analysis and Its Applications 2011 Vol. 45 No. 1 P. 1–12

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 ...

Added: April 12, 2012

Beklaryan A., Beklaryan L., , in : Тезисы докладов 12-й Международной конференции Интеллектуализация обработки информации. : М.: Торус Пресс, 2018. P. 80–81.

For equations of mathematical physics, which are the Euler-Lagrange equation of the corresponding variational problems, an important class of solutions are soliton solutions. The study of soliton solutions is based on the existence of a one-to-one correspondence between soliton solutions for initial systems and solutions of induced functionaldifferential equations of pointwise type (FDEPT). The existence and uniqueness theorem for ...

Added: October 11, 2018

Beklaryan A., Belousov F., Зароднюк Т. С. et al., Современные технологии. Системный анализ. Моделирование 2016 Т. 49 № 1 С. 19–26

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 ...

Added: May 25, 2016

Al Adel A., Belov A. V., , in : Actual Problems of System and Software Engineering. Proceedings of the 6th International Conference Actual Problems of System and Software Engineering. Moscow, Russia, 12-14 November, 2019. Vol. 2514.: CEUR Workshop Proceedings, 2019. P. 301–307.

This paper addresses analyzing the data flows that appear when distributed database works. An algorithm for optimizing database replication is proposed. As a protocol data replication two-phase commit protocol (2PC) with two levels of lock records (shared lock (Shared), and an exclusive lock (Exclusive)) is considered. ...

Added: December 13, 2019

Chadov A. L., Семенов А. В., Вестник Нижегородского университета им. Н.И. Лобачевского 2013 № 1-3 С. 77–83

The dynamic models considered in this work, contain at the same time as the equations describing dynamics of indicators in continuous time on a final interval, and the equations with discrete time, characteristic for econometric models. For the specified class of systems statements of tasks as tasks about approachibility of preset values of indi-cators, in ...

Added: March 24, 2014

Armen L. Beklaryan, International Journal of Pure and Applied Mathematics 2013 Vol. 88 No. 4 P. 499–522

In this paper we consider the first boundary value problem for elliptic systems, defined on unbounded domains, which solutions satisfy a condition of finiteness of the Dirichlet integral, also known as the energy integral. ...

Added: October 31, 2013

Springer, 2022

This book constitutes the refereed proceedings of the 13th International Conference on Optimization and Applications, OPTIMA 2022, held in Petrovac, Montenegro, during September 26–30, 2022.
The 17 full papers and presented were carefully reviewed and selected from 43 submissions. They were organized into the following as follows: mathematical programming; global optimization; discrete and combinatorial optimization; optimal control; optimization ...

Added: January 17, 2023

Pham Cong T., Копылов А. В., Computer Optics 2018 P. 1–8

We consider here image denoising procedures, based on computationally effective tree-serial parametric dynamic programming procedures, different representations of an image lattice by the set of acyclic graphs and non-convex regularization of a new type which allows to flexibly set a priori preferences. Experimental results in image denoising, as well as comparison with related methods, are ...

Added: July 21, 2018

Lebedeva O., Poltavskaya J., Gozbenko V. et al., Journal of Physics: Conference Series 2020 Vol. 1614 Article 012101

Optimizing the configuration of the freight transport network is a challenge. The search for the optimal route solution in a dynamic urban multimodal transport network is aimed at minimizing the cost based on accurate forecasting of traffic flows and cost estimation. The purpose of the study is to review a methodology that can be applied ...

Added: July 15, 2021

Максимова Елизавета Андреевна, В кн. : Системное моделирование социально-экономических процессов: труды 40-й Международной научной школы-семинара. : Воронеж: Воронежский государственный педагогический университет, 2017. С. 530–533.

The creation of an effective regular timetable for railway infrastructure provides a number of advantages for both passengers being transported and for staff is involved in the management and maintenance of the network. The for-mation of a regular schedule for it under conditions of variable demand is an ac-tual problem and a rather difficult task. ...

Added: November 21, 2018

Beklaryan L. A., Beklaryan A., Lobachevskii Journal of Mathematics 2020 Vol. 41 No. 11 P. 2136–2142

Solutions of functional differential equation of pointwise type (FDEPT) are in one-to-one correspondence with the traveling-wave type solutions for the canonically induced infinite-dimensional ordinary differential equation and vice versa. In particular, such infinite-dimensional ordinary differential equations are finite difference analogues of equations of mathematical physics. An important class of traveling-wave type solutions is made up of periodic and bounded ...

Added: September 21, 2020

Krichever I. M., Грушевский С., Нортон Х., Успехи математических наук 2019 Т. 74 № 2(446) С. 81–148

We study the behaviour of real-normalized (RN) meromorphic differentials on Riemann surfaces under degeneration. We describe all possible limits of RN differentials on any stable curve. In particular we prove that the residues at the nodes are solutions of a suitable Kirchhoff problem on the dual graph of the curve. We further show that the ...

Added: October 31, 2019

Aleroev T., Aleroeva H., Huang J. et al., Computers & Mathematics with Applications 2017 Vol. 73 No. 6 P. 959–969

This paper is devoted to solving boundary value problems for important fractional differential equations of the Fokker–Planck family, in particular, to studying fractional differential equation for advection–dispersion. The consideration is carried out by the separation of variables (the Fourier method). Most part of this paper is devoted to justification of this method, to proof of ...

Added: February 9, 2017