Comparative analysis of frequency characteristics for constructing digital models options of components of electrical complexes aperiodic units by Alexander S. Glazyrin, Evgeniy I. Popov, Semen S. Popov, Vladimir A. Kopyrin, Sergey N. Kladiev, Andrey P. Leonov, Nataliya A. Voronina, Vladimir Z. Kovalev

“…With appropriate assumptions about the stationarity of the dynamic system, the Tustin method can be recommended as the main one for constructing digital models for most engineering problems. …”
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Influence of Modal Decomposition Algorithms on Nonlinear Time Series Machine Learning Prediction Models in Engineering: A Case Study of Subway Tunnel Settlement by Qingmeng Shen, Yuming Wu, Limin Wan, Qian Chen, Yue Li, Zichao Liao, Wenbo Wang, Feng Li, Tao Li, Jiajun Shu

“…The settlement values of subway tunnels during the construction period exhibit significant nonlinear and spatial–temporal variation characteristics. …”
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The Mode of Constructing Safe Trajectories of Motion of the Unmanned Aerial Vehicle while Monitoring Power Lines Considering the Influence of their Electromagnetic Fields by Shabanova A.R., Tolstoy I.M., Lebedev I.V.

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Multiple Approaches to Problem Posing: Theoretical Considerations Regarding its Definition, Conceptualisation, and Implementation by Ioannis Papadopoulos, Nafsika Patsiala, Lukas Baumanns, Benjamin Rott

“…In the second level, we examine how problem posing is conceived by the research community compared to other mathematical constructs, such as problem solving, mathematical creativity, or modelling. …”
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An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity by Natalia Bondarenko

“…We construct special fundamental systems of solutions for this equation and prove the uniqueness theorem of the inverse problem.…”
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Solving the SAT Problem by Cell-Like P Systems with Channel States and Symport Rules by Xiaoming Wan, Chuchuan Liu, Yueguo Luo

“…Our work indicates that the constructed variant with fewer rule types can still solve the SAT problem and obtain better results in terms of computational complexity. …”
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An uncoupled thermoelasticity problem for a semi-infinite layer with regard of its proper weight by Anna Fesenko, Nataly Vaysfeld

“…The exact solution of the uncoupled thermoelasticity problem for a semi-infinite elastic layer with regard of its proper weight was constructed. …”
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Optimal Control Problem for a Class of Non-autonomous Stochastic Integro-differential Equations by LIU Mengjie, FAN Hongxia

“…In order to study the optimal control problem of a class of non-autonomous stochastic integro-differential equation in Hilbert space, the existence theorem of mild solution of the problem is established by using stochastic analysis, theories of operator semigroups and Sadovskii fixed point theorem. …”
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Problems of optimizing the energy consumption of households in the tasks of improving the energy efficiency of the housing sector by G. G. Grebenuk, S. M. Nikishov, A. A. Krygin, L. A. Sereda

“…Further, the statement of the problem was proposed and justified,  and a number of basic requirements to the mathematical model of  energy consumption, necessary for the constructed technique to be  used to optimize energy consumption in households, were  formulated. …”
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SOLUTION OF PROBLEM PERTAINING TO PARAMETRIC IDENTIFICATION OF METAL HEATING PROCESS AT HEAT-TRANSFER BY RADIATION by V. B. Kovalevsky, A. G. Saeed, V. A. Pronj

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Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions by Juntang Ding

“…We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an upper bound for the “blow-up time,” an upper estimate of the “blow-up rate,” the sufficient conditions for the existence of global solution, and an upper estimate of the global solution are specified.…”
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Mixed Finite Element Method for Nonclassical Boundary Value Problems of Shallow Shell Theory by M.M. Karchevsky

“…The mixed finite element schemes for approximate solving of these problems are constructed. The solvability conditions for the corresponding discrete problems are deduced. …”
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Decision Support System to Solve Single-Container Loading Problem Considering Practical Constraints by Natalia Romero-Olarte , Santiago Amézquita-Ortiz, John Willmer Escobar, David Álvarez-Martínez

“…The container loading problem (CLP) has a broad spectrum of applications in industry and has been studied for over 60 years due to its high complexity. …”
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Variational method of numerical solution of the inverse problem of gas lift oil production process by N.M. Temirbekov, A.K. Turarov

“…This paper proposes a constructive method for numerically solving direct and inverse problems arising in the gas-lift oil production process, which is described by a hyperbolic system of differential equations. …”
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A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem by Musa Çakır, Gabil M. Amiraliyev

“…The numerical method is constructed on piecewise uniform Shishkin type mesh. …”
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On a Nonlocal Problem for the Nonhomogeneous Boussinesq Type Integro-Differential Equation with Degenerate Kernel by T.K. Yuldashev

“…This paper considers the questions of solvability and constructing the solution of a nonlocal boundary value problem for the fourth-order Boussinesq type nonhomogeneous partial integro-differential equation with degenerate kernel. …”
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On Qualification of the Phenomenon of Hybridism of the Use of Force and the Problem of Interference in Internal Affairs of a State by S. V. Korostelev

“…The purpose of this article is to eliminate methodological discrepancies in the definition of the problem of “hybrid” use of force and the possibility of using this construct when interfering in the internal affairs of states. …”
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ABOUT ANALYTICAL METHOD FOR SOLVING THE CAUCHY PROBLEM OF TWO QUASILINEAR HYPERBOLIC EQUATIONS SYSTEM by A. A. Gorinov

“…As an example, the Buckley-Leverett system of equations describing the process of nonlinear one-dimensional two-phase filtration in a porous medium is considered. To construct the solution of the Cauchy problem, a curve of the initial data is chosen; the solution of the Buckley-Leverett system is obtained by shifting this curve along the trajectories of the vector field (this vector field is defined up to multiplication by a function). …”
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Green's Function Method for Self-Adjoint Realization of Boundary-Value Problems with Interior Singularities by K. Aydemir, O. Sh. Mukhtarov

“…The purpose of this paper is to investigate some spectral properties of Sturm-Liouville type problems with interior singularities. Some of the mathematical aspects necessary for developing our own technique are presented. …”
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Identification of a Time-Dependent Coefficient in Heat Conduction Problem by New Iteration Method by Dejian Huang, Yanqing Li, Donghe Pei

“…This paper investigates the problem of identifying unknown coefficient of time dependent in heat conduction equation by new iteration method. …”
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