Results 21 to 30 of about 453 (157)

On Variants for Solvability of a Three-Dimensional Volterra Equation in Quadratures [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2016
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
doaj  

Functional differential equations—a reciprocity principle

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
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
doaj   +1 more source

On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials

open access: yesOpen Physics, 2015
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
doaj   +1 more source

PREDICTION OF MECHANICAL PROPERTIES FOR ONE-DIMENSIONAL POLYMER STRUCTURES [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2020
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
doaj   +1 more source

Mixed Initial-Boundary Value Problem for Telegraph Equation in Domain with Variable Borders

open access: yesAdvances in Mathematical Physics, 2012
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
doaj   +1 more source

Solutions of Exterior Differential Equations by Quadratures

open access: yesJournal of Mathematical Analysis and Applications, 2000
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

open access: yesJournal of Function Spaces, 2019
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
doaj   +1 more source

Explicit solution of one hypersingular integro-differential equation of the second order

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
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
doaj   +1 more source

On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces [PDF]

open access: yesComputer Science Journal of Moldova, 2000
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
doaj  

Quadrature-Inspired Generalized Choquet Integral in an Application to Classification Problems

open access: yesIEEE Access, 2023
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
doaj   +1 more source

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