Results 11 to 20 of about 310,408 (297)
Generalized model of nonlinear elastic foundation and longitudinal waves in cylindrical shells [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 A non-integrable quasi-hyperbolic sixth-order equation is derived that simulates the axisymmetric propagation of longitudinal waves along the generatrix of a cylindrical Kirchhoff – Love shell interacting with a nonlinear elastic medium.
Zemlyanukhin, Alexandr Isaevich +3 more
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On oscillation of solutions of scalar delay differential equation in critical case
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we study the oscillation problem for the known scalar delay differential equation. We assume that the coefficients of this equation have an oscillatory behaviour with an amplitude of oscillation tending to zero at infinity.
Pavel Nesterov
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About the convergence rate Hermite – Pade approximants of exponential functions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 This paper studies uniform convergence rate of Hermite\,--\,Pad\'e approximants (simultaneous Pad\'e approximants) $\{\pi^j_{n,\overrightarrow{m}}(z)\}_{j=1}^k$ for a system of exponential functions $\{e^{\lambda_jz}\}_{j=1}^k ...
Starovoitov, Alexander Pavlovich +1 more
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]
E3S Web of Conferences, 2020 The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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Asymptotic expansions for product integration [PDF]
Mathematics of Computation, 1973 A generalized Euler-Maclaurin sum formula is established for product integration based on piecewise Lagrangian interpolation. The integrands considered may have algebraic or logarithmic singularities. The results are used to obtain accurate convergence rates of numerical methods for Fredholm and Volterra integral equations with singular kernels.
de Hoog, Frank, Weiss, Richard
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Analysis of the Transient Behaviour in the Numerical Solution of Volterra Integral Equations
Axioms, 2021 In this paper, the asymptotic behaviour of the numerical solution to the Volterra integral equations is studied. In particular, a technique based on an appropriate splitting of the kernel is introduced, which allows one to obtain vanishing asymptotic ...
Eleonora Messina, Antonia Vecchio
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Mathematics, 2023 In this paper, we study the solution of a singularly perturbed inhomogeneous mixed problem on the half-axis for the Schrödinger equation in the presence of a “strong” turning point for the limit operator on time interval that do not contain focal points.
Alexander Yeliseev +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We propose a method for construction of the asymptotics of solutions in the critical case.
Pavel Nesterov
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On the Asymptotic Integration ofNonlinear Dynamic Equations
Advances in Difference Equations, 2008 The purpose of this paper is to study the existence and asymptotic behavior of solutions to a class of second-order nonlinear dynamic equations on unbounded time scales.
Djebali Smaïl +3 more
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Shear waves in a nonlinear elastic cylindrical shell [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаAsymptotic integration methods have been used to model the propagation of a shear wave beam along a nonlinear-elastic cylindrical shell of the Sanders – Koiter model. The shell is assumed to be made of a material characterized by a cubic dependence
Zemlyanukhin, Alexandr Isaevich +2 more
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