On Variants for Solvability of a Three-Dimensional Volterra Equation in Quadratures [PDF]
A linear integral equation of the general type with three independent variables, for which the special case of this equation is known, has been studied along with indication of certain variants of solving it in quadratures. In this paper, new variants of
I.M. Shakirova
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Functional differential equations—a reciprocity principle
The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument.
Lloyd K. Williams
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On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials
This paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second ...
Babolian Esmail +4 more
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PREDICTION OF MECHANICAL PROPERTIES FOR ONE-DIMENSIONAL POLYMER STRUCTURES [PDF]
Subject of Research. The paper presents a technique for prediction of the mechanical properties of polymer materials. An equation is proposed for the highly elastic part of deformation in a differential-mode for one-dimensional polymer structures.
Anna S. Stepashkina +4 more
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Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders
Mixed initial-boundary value problem for telegraph equation in domain with variable borders is considered. On one part of domain’s border are the boundary conditions of the first type, on other part of the boundary are set boundary conditions of the ...
V. A. Ostapenko
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Solutions of Exterior Differential Equations by Quadratures
The author recalls the well-known properties of the homotopy operator \(H\) in the module of all exterior differential forms on a starshaped subset of a manifold; together with the common exact forms \(\omega\) (with \(d\omega= 0\)) also the antiexact forms (satisfying \(H\omega= 0\)) are mentioned.
openaire +2 more sources
Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions
In this work, the Finite Element Method is used for finding the numerical solution of an elliptic problem with Henstock–Kurzweil integrable functions. In particular, Henstock–Kurzweil high oscillatory functions were considered.
D. A. León-Velasco +4 more
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Explicit solution of one hypersingular integro-differential equation of the second order
The linear equation on the curve located on the complex plane is studied. The equation contains the desired function, its derivatives of the first and second orders, as well as hypersingular integrals with the desired function.
Andrei P. Shilin
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On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces [PDF]
We investigate in this paper problems of theoretical foundation of collocations and mechanical quadratures methods for approximate solution of singular integral equation systems in the case, when their symbols have on the integration contour a finite set
T. Cibotaru
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Quadrature-Inspired Generalized Choquet Integral in an Application to Classification Problems
Correct classification remains a challenge for researchers and practitioners developing algorithms. Even a minor enhancement in classification quality, for instance, can significantly boost the effectiveness of detecting conditions or anomalies in safety
Pawel Karczmarek +8 more
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