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An Approach to Assessing the Effectiveness of Radiation Conformal Multi-Element Structures with Chiral Filling Lobachevskii J. Math. Pub Date : 2024-03-14 A. L. Buzov, M. A. Buzova, D. S. Klyuev, A. M. Neshcheret, Yu. V. Sokolova, S. V. Morozov
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Bivariate Sushila Distribution Based on Copulas: Properties, Simulations, and Applications Lobachevskii J. Math. Pub Date : 2024-03-14 Sirinapa Aryuyuen, Wattana Panphut, Chookait Pudprommarat
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On Geometric Form of a Hahn–Banach Theorem’s Version for Idempotent Probability Measures Lobachevskii J. Math. Pub Date : 2024-03-14 A. O. Tagaymurotov, A. A. Zaitov
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Compression Pulse Propagation in Fractured Porous Medium Lobachevskii J. Math. Pub Date : 2024-03-14 A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko
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The Sine Modified Power-Generated Family of Distributions with Application to Practical Data and Ruin Probability Lobachevskii J. Math. Pub Date : 2024-03-14 Christophe Chesneau, Hassan S. Bakouch, Kadir Karakaya, Abouzar Bazyari
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Analysis of a Dependent Perturbed Renewal Risk Model with Heavy-tailed Distributions Lobachevskii J. Math. Pub Date : 2024-03-14 Abouzar Bazyari
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Approximation Results by Statistical Convergence Based on a Power Series in Modular Spaces Lobachevskii J. Math. Pub Date : 2024-03-14 E. Tas, T. Yurdakadim
Abstract In this study, we present some approximation results in modular spaces for positive linear operators with the use of \(P\)-statistical convergence which is recently added to literature by combining statistical convergence and power series. As an application, we provide an example which shows that our theorems are efficient to use since \(P\)-statistical convergence assigns a limit to a divergent
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Sequential d-Posterior Procedure for Selecting the Most Probable Multinomial Outcome Lobachevskii J. Math. Pub Date : 2024-03-14 I. A. Kareev
Abstract A selection problem for finding the most probable outcome of a multinomial distribution is considered. We present a sequential procedure for solving a d-posterior variation of the problem. For the procedure the convergence and sample size properties are investigated. The paper is concluded with numerical illustrations of the actually achievable d-posterior reliability, average sample size
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Probability of Net Superiority for Comparing Two Groups or Group Means Lobachevskii J. Math. Pub Date : 2024-03-14 Hening Huang
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Investigation of Light Scattering by Plasmonic Core-Shell Nanoparticles via the Discrete Sources Method Accounting for the Surface Quantum Effect Lobachevskii J. Math. Pub Date : 2024-03-14 Yu. A. Eremin, V. V. Lopushenko
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Regularity and Optimality Necessary Conditions for System of G-Stochastic Differential Equations Lobachevskii J. Math. Pub Date : 2024-03-14 H. Ben Gherbal, A. Redjil, Z. Arab
Abstract In the current paper, we deal with a system of G-stochastic differential equations (G-SDEs in short) driven by G-Brownian motion. Under some assumptions on the coefficients, we prove the temporal Hölder regularity of the solution. Moreover, we establish the Pontryagin’s maximum principle for optimal control of such system. An example is given to support the effectiveness of our main results
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Self-Sufficient Algorithm of the Method of Surface Integral Equations in the Problems of Electromagnetic Scattering by Magneto-dielectric Cylinders Lobachevskii J. Math. Pub Date : 2024-03-14 D. A. Borisov, S. P. Skobelev
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Evolution of the Surface Computational Mesh in the Ice Accretion Process Lobachevskii J. Math. Pub Date : 2024-03-14 A. O. Meshcheryakov, A. A. Rybakov
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Nonisothermal Fluid Filtration to a Vertical Well in Naturally Fractured Reservoir Lobachevskii J. Math. Pub Date : 2024-01-28 M. N. Shamsiev, M. Kh. Khairullin, P. E. Morozov, V. R. Gadil’shina, A. I. Abdullin, A. V. Nasybullin
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Non-Newtonian Flow on Homogeneous-Heterogeneous Pore-Scale Reactive Transport: A Computational Analysis Lobachevskii J. Math. Pub Date : 2024-01-28 V. V. Grigoriev, W. Xie
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Lattice Boltzmann Simulations of the Dynamic Adsorption of Gas in Porous Media: Effect of Grain Size Distribution Lobachevskii J. Math. Pub Date : 2024-01-28 T. R. Zakirov, M. G. Khramchenkov, A. N. Kolchugin, A. A. Galeev
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Optimization of the Movement of a Cylindrical Vibration-Driven Robot in a Viscous Fluid, Induced by Pendulum Oscillations of the Internal Mass Lobachevskii J. Math. Pub Date : 2024-01-28 A. G. Egorov, A. N. Nuriev, V. D. Anisimov
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Online Coupled Generalized Multiscale Finite Element Method for the Poroelasticity Problem in Three-Dimensional Media Lobachevskii J. Math. Pub Date : 2024-01-28 A. A. Tyrylgin, J. Huang
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An Online Generalized Multiscale Finite Element Method for Dual-continuum Unsaturated Filtration Problem in Domains with Rough Boundaries Lobachevskii J. Math. Pub Date : 2024-01-28 D. A. Spiridonov, J. Huang
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Partial Learning Using Partially Explicit Discretization for Heterogeneous Transport Problem Simulation Lobachevskii J. Math. Pub Date : 2024-01-28 V. N. Alekseev, U. S. Kalachikova, Y. Yang
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Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions Lobachevskii J. Math. Pub Date : 2024-01-28 A. Khasanov, R. Eshbekov, Kh. Normurodov
Abstract In this paper, the inverse spectral problem method is used to integrate a nonlinear Hirota-type equation with a finite density in the class of periodic functions. The evolution of the spectral data of the periodic Dirac operator is introduced and the coefficient of the Dirac operator is a solution of the nonlinear Hirota equation with a finite density. The solvability of the Cauchy problem
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An Exponential-Trigonometric Optimal Interpolation Formula Lobachevskii J. Math. Pub Date : 2024-01-28 Kh. M. Shadimetov, A. K. Boltaev
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Criteria for Approximative Properties of Systems of Sines and Cosines in Grand Lebesgue Space Lobachevskii J. Math. Pub Date : 2024-01-28 T. Hagverdi
Abstract In this article the trigonometric systems of sine \(\sin\left(n-\alpha\right)t\), \(n=1,2,...\) and cosine \({\cos}\left(n-\alpha\right)t\), \(n=0,1,2,...\) are considered in the grand Lebesgue space \(L_{p)}(0,\pi)\), where \(\alpha\) is a real parameter. The basis properties: criteria for minimality, completeness and basicity of these trigonometric systems with respect to the parameter \(\alpha\)
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A Problem with Shift for Mixed-Type Equation in Domain, the Elliptical Part of Which Is a Horizontal Strip Lobachevskii J. Math. Pub Date : 2024-01-28 R. T. Zunnunov
Abstract In this article, the issue of the unique solvability of a problem with shift in an unbounded domain is investigated; the elliptical part of the domain is a horizontal strip. The uniqueness of the theorem is proven by the method of energy integrals under constraints of unequal type on known functions and different orders of fractional differentiation operators in the boundary condition. Problem
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A Diffusive Leslie–Gower Type Predator–Prey Model with Two Different Free Boundaries Lobachevskii J. Math. Pub Date : 2024-01-28 A. N. Elmurodov, A. I. Sotvoldiyev
Abstract In this paper, we study the diffusive mutualist model with advection and different free boundaries in one space dimension. These two free boundaries may intersect each other as time evolves and can be used to describe the spreading of invasive and native species directly. Methods for obtaining a priori estimates in the norms of Hölder spaces for the solution are proposed. On the basis of these
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Arithmetic and Combinatorics of Recurrent Sequences Lobachevskii J. Math. Pub Date : 2024-01-28 R. V. Urazbakhtin
Abstract The arithmetic properties of integer sequences responsible for the number of tiling rings divided into a finite number of identical cells using two polyominoes are investigated. Recurrent sequences associated with Pascal’s triangle are also studied.
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On the Maximum and Minimum Areas of the Necklace Lobachevskii J. Math. Pub Date : 2024-01-28 R. R. Gazizov
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Polubarinova–Galin Equation for Hele-Shaw Flows with Two Free Boundaries Lobachevskii J. Math. Pub Date : 2024-01-28 M. M. Alimov
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Inverse Problems for Kelvin–Voigt System with Memory: Global Existence and Uniqueness Lobachevskii J. Math. Pub Date : 2024-01-28 Kh. Khompysh, A. G. Shakir
Abstract This paper deals with the global unique solvability of two inverse problems for Kelvin–Voigt system with memory that governs the flow of incompressible non-Newtonian fluids with relaxation and elastic properties. Inverse problems that study here, consist of determining a time dependent intensity of the density of external forces, along with a velocity and a pressure of fluids. As additional
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The Equations of the Darcy–Brinkman Flow: the Lie Symmetry Classification, Conservation Laws, and Traveling Wave Solutions Lobachevskii J. Math. Pub Date : 2023-12-11 I. S. Krasil’shchik, O. I. Morozov
Abstract We consider the differential equations that describe the Darcy–Brinkman flow. We provide the Lie symmetry classification of this system, construct conservation laws and study the system that describes the traveling wave solutions. We show that the integration of the last system is reducible to the Abel ordinary differential equation and indicate a case when this ordinary differential equation
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Contact Transformations in Theory of Frontal Oil Displacement Lobachevskii J. Math. Pub Date : 2023-12-11 S. S. Mukhina
Abstract The paper deals with Barenblat’s model of non-stationary two-phase filtration of oil and water with active reagents. This model describes frontal It is described by the first order hyperbolic system of two nonlinear partial differential equations. We show that this system is equivalent to the symplectic Monge–Ampère equation. In the case of carbonized water this equation is contact equivalent
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A Lax Representation of the Charney–Obukhov Equation for the Ocean Lobachevskii J. Math. Pub Date : 2023-12-11 O. I. Morozov
Abstract We find a Lax representation of the 4D Charney–Obukhov equation for the ocean in the \(\beta\)-plane approximation. We prove that a parameter involved in the Lax representation is non-removable. Then we derive a special Bäcklund transformation for the equation under the study.
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Method of Volume Singular Equations for Solving a Nonlinear Problem of Diffraction in a Semi-Infinite Rectangular Waveguide Lobachevskii J. Math. Pub Date : 2023-12-11 A. O. Lapich, M. Yu. Medvedik
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Spectral Characteristics of the Integral Operator of the Internal Problem of Electrodynamics for Cylindrical Spiral Structure Lobachevskii J. Math. Pub Date : 2023-12-11 D. P. Tabakov, A. G. Majorov, R. M. Valiullin, D. S. Klyuev
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Comparison of Approximate and Numerical Methods for Solving the Homogeneous Dirichlet Problem for the Helmholtz Operator in a Two-Dimensional Domain Lobachevskii J. Math. Pub Date : 2023-12-11 E. G. Apushkinskiy, V. A. Kozhevnikov, A. V. Biryukov
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Perturbations of Differential Equations Retaining Conserved Quantities Lobachevskii J. Math. Pub Date : 2023-12-11 A. Samokhin
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On the Application of Mosaic-Skeleton Approximations of Matrices in Electrodynamics Problems with Impedance Boundary Conditions Lobachevskii J. Math. Pub Date : 2023-12-11 A. V. Setukha, S. L. Stavtsev
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Integral Equations of Coordinate Diffraction Problems of Elastic Waves in Stratified Media Lobachevskii J. Math. Pub Date : 2023-12-11 I. E. Pleshchinskaya, N. B. Pleshchinskii, K. N. Stekhina
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The Exponentiated Additive Teissier-Exponential Distribution Lobachevskii J. Math. Pub Date : 2023-12-11 V. P. Jha, V. Kumaran
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Generalized Ratio-Cum-Exponential-Log Ratio Type Estimators of Population Mean under Simple Random Sampling Scheme Lobachevskii J. Math. Pub Date : 2023-12-11 Subhash Kumar Yadav, Diksha Arya, Gajendra K. Vishwakarma, Mukesh Kumar Verma
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The Method of Integral Variational Relations in the Problem of Eigenwaves of a Plane Dielectric Layer Coated with Graphene Lobachevskii J. Math. Pub Date : 2023-12-11 Yu. G. Smirnov, E. G. Smolkin
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Scaling Invariance of the $$\boldsymbol{k[S]}$$ -Hierarchy and Its Strict Version Lobachevskii J. Math. Pub Date : 2023-12-11 G. F. Helminck, J. A. Weenink
Abstract Let \(LT_{\mathbb{N}}(R)\) denote the algebra of \(\mathbb{N}\times\mathbb{N}\)-matrices with coefficients from the commutative \(k\)-algebra \(R\), \(k=\mathbb{R}\) or \(\mathbb{C}\), that possess only a finite number of nonzero diagonals above the central diagonal. In a previous paper we discussed integrable deformations inside \(LT_{\mathbb{N}}(R)\) of various commutative subalgebras of
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Critical Phenomena of Massieu–Plank Potential for Gas Mixtures Described by the Beattie–Bridgeman Equations of State Lobachevskii J. Math. Pub Date : 2023-12-11 I. A. Galyaev, M. I. Kostiuchek, A. V. Batov, A. M. Salnikov
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Software for Component-by-Component Benchmarking of a Computing Cluster Network Lobachevskii J. Math. Pub Date : 2023-12-11 A. A. Begaev, A. N. Salnikov
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A New Generalization of Poisson Distribution for Over-dispersed, Count Data: Mathematical Properties, Regression Model and Applications Lobachevskii J. Math. Pub Date : 2023-12-11 F. Z. Seghier, M. Ahsan-ul-Haq, H. Zeghdoudi, S. Hashmi
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New Imputation Method for Estimating Population Mean in the Presence of Missing Data Lobachevskii J. Math. Pub Date : 2023-12-11 Nuanpan Lawson
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Order Statistics of Generalized Topp–Leone Distribution with Application to Tissue Damage Proportions in Blood Lobachevskii J. Math. Pub Date : 2023-12-11 Kumar Devendra, Wang Liang, Dey Sanku
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A New Estimator for Estimating Population Mean Using Two Auxiliary Attributes in Stratified Random Sampling Lobachevskii J. Math. Pub Date : 2023-12-11 Ashish Kumar, Bhatt Ravi Jitendrakumar, Yashpal Singh Raghav, Monika Saini
Abstract In this paper, we propose an efficient estimator for the estimation of population mean using the information of the two auxiliary attributes under stratified random sampling. The bias, mean squared error (MSE) and minimum mean squared error of the proposed estimator, up to the first order of approximation, have been derived. In theoretical comparison, the conditions have been deliberated under
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On Boundedness of Certain Integral Operators Lobachevskii J. Math. Pub Date : 2023-11-28 V. A. Polunin, V. B. Vasilyev, N. S. Erygina
Abstract We study mapping properties of two-dimensional linear integral operators in some weighted spaces with special kernels. The considered spaces are certain variant of Sobolev–Slobodetskii spaces and their generalizations related to Banach spaces. Sufficient conditions for boundedness for such operators in these spaces are obtained.
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Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form Lobachevskii J. Math. Pub Date : 2023-11-28 A. P. Khromov
Abstract This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtained using the theory of generalized functions, and thus open up new ways of using generalized
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Uniqueness of Solution of Boundary-Value Problem with Integral Condition for Mixed-Type Equation with Bessel Operator Lobachevskii J. Math. Pub Date : 2023-11-28 N. V. Zaitseva
Abstract A boundary-value problem with nonlocal integral condition is studied for a mixed-type equation with Bessel operator in a rectangular domain. The solution is obtained in the form of a Fourier–Bessel series. The uniqueness theorem for the solution of the problem is proved.
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Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient Lobachevskii J. Math. Pub Date : 2023-11-28 I. S. Lomov
Abstract The first boundary value problem for a second–order differential operator with a singular potential on a segment with conjugation conditions at an interior point of the segment is studied. For the solution of the problem with a parameter, asymptotic formulae and estimates are obtained on each of the segments of smoothness. A similar formula is obtained for the solution of the associated problem
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The Third Boundary Problem for a Mixed-Type Equation with Three Singular Coefficients Lobachevskii J. Math. Pub Date : 2023-11-28 A. K. Urinov, K. T. Karimov
Abstract In this work, the third boundary value problem for a three-dimensional mixed-type equation with three singular coefficients in a domain consisting of a quarter cylinder and a rectangular triangular prism is studied. The existence and uniqueness of the formulated problem is proved by the method of spectral analysis. The solution of the considered problem is constructed as the sum of a double
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Representation of Experimental Data in the Algo500 Project Lobachevskii J. Math. Pub Date : 2023-11-28 A. S. Antonov, R. V. Maier, D. A. Nikitenko
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Passive Tracer Transport in Ocean Modeling: Implementation on GPUs, Efficiency and Optimizations Lobachevskii J. Math. Pub Date : 2023-11-28 E. M. Gaschuk, A. A. Ezhkova, V. A. Onoprienko, A. V. Debolskiy, E. V. Mortikov
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On Higher Integrability of the Gradient of a Solution to the Zaremba Problem for $$\boldsymbol{p(\cdot)}$$ -Laplace Equation in a Plane Domain Lobachevskii J. Math. Pub Date : 2023-11-28 Yu. A. Alkhutov, G. A. Chechkin
Abstract A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz plane domain is proved for the inhomogeneous \(p(\cdot)\)-Laplace equation.
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Radon–Kipriyanov Transform of Laplace Series by Weight Spherical Functions Lobachevskii J. Math. Pub Date : 2023-11-28 V. A. Kalitvin, M. G. Lapshina
Abstract In this paper we consider the Radon–Kipriyanov transform and its relationship with the special Radon transform. The representation of plane integrals in the Lebesgue–Kipriyanov measure by the corresponding hemisphere integral in \(\mathbb{R}_{n}^{+}\) is given. The definitions and information necessary for calculating the Radon–Kipriyanov transform from Laplace series for one class of weight
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Pseudo Hyperbolic Equations with Degeneracy: Existence and Uniqueness of Solutions Lobachevskii J. Math. Pub Date : 2023-11-28 G. A. Varlamova, A. I. Kozhanov
Abstract The work is devoted to the study of the solvability of initial-boundary value problems for differential equations$$h(t)u_{tt}-\left(a\frac{\partial}{\partial t}+b\right)\Delta u+cu=f(x,t)$$ (\(\Delta\) is the Laplace operator in space variables) with a non-negative function \(h(t)\). Similar equations are called pseudohyperbolic equations in the literature. The aim of the work is to prove
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First Boundary Value Problem for the Two-Dimensional Wave Equation Lobachevskii J. Math. Pub Date : 2023-11-28 K. B. Sabitov
Abstract In this paper, for a two-dimensional wave equation in a rectangular parallelepiped, the Dirichlet problem. A uniqueness criterion is established. The solution is constructed as the sum of an orthogonal series. When justifying the convergence of a series, the problem of small denominators of two natural arguments arose for the first time. An estimate on separation from zero with the corresponding
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Some Theorems on a Minimum of a Function, Fixed and Coincidence Points Lobachevskii J. Math. Pub Date : 2023-11-28 B. Gel’man, V. Obukhovskii, E. Borisova
Abstract We present an operator inequality of a new type which yields the existence of a minimum point for a (non necessarily continuous) function on a complete metric space. The estimation of proximity of the minimum point to a given point of the space is produced. The obtained theorem is applied to the proofs of new theorems on fixed and coincidence points for single-valued and multivalued maps in