Solutions by Quadratures of Complex Bernoulli Differential Equations and Their Quantum Deformation [PDF]
Axioms, 2023 It is shown that the complex Bernoulli differential equations admitting the supplementary structure of a Lie–Hamilton system related to the book algebra b2 can always be solved by quadratures, providing an explicit solution of the equations. In addition,
Rutwig Campoamor-Stursberg +2 more
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
Discrete and Continuous Models and Applied Computational Science, 2021 In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V. +1 more
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The explicit solution of the Neumann boundary value problem for Bauer differential equation in circular domains [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to the boundary value problem of Neumann problem's type for solutions of one second-order elliptic differential equation.
Rasulov, Karim Magomedovich +1 more
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Axioms, 2022 The paper considers a class of nonlinear differential equations which are not solvable in quadratures in general case. The author’s technology for solving such equations contains six problems.
Victor Orlov, Magomedyusuf Gasanov
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Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The paper gives a solution to one of the problems of the analytical approximate method for one class first order nonlinear differential equations with moving singular points in the real domain.
Viktor N. Orlov, Oleg A. Kovalchuk
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STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 We consider the motion of a mechanical system with several degrees of freedom near zero of the phase space of states under conditions of constantly acting small perturbations. The generalized forces are represented in the dynamic equations by homogeneous
V. G. Melnikov +3 more
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Plane stress state of a uniformly piece-wise homogeneous plane with a periodic system of semi-infinite interphase cracks [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The plane stress state of a uniformly piecewise-homogeneous plane obtained by alternately joining two dissimilar strips is considered, which along the lines of joints of dissimilar strips is weakened by a periodic system of two semi-infinite interfacial ...
Vahram N. Hakobyan, Aram A. Grigoryan
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Description of the rapid invasion processes by means of the kinetic model [PDF]
Компьютерные исследования и моделирование, 2014 Recently many investigations have been devoted to theoretical models in new areas concerning description of different biological, sociological and historical processes.
O. V. Ilyin, V. V. Aristov
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Mathematical problems of reliability assurance the building constructions [PDF]
E3S Web of Conferences, 2019 The paper deals with a mathematical model of console type based on the nonlinear differential equation having a mobile feature of the General solution (or a mobile singular point). The presence of mobile singular points indicates affiliation of this type
Orlov Victor, Kovalchuk Oleg
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