Results 11 to 20 of about 3,119 (207)

The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations

JOURNAL OF ADVANCES IN MATHEMATICS, 2018
The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find.  The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find the approximate solutions to this type of systems. At first, we used Taylor's expansion to omit the singularity.  From an expansion the given
Hameeda Oda Al-Humedi
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On an infinite system of non-linear singular integral equations in a Euclidean space [PDF]

Colloquium Mathematicum, 1967
W. Żakowski
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ON SOME NON-LINEAR SYSTEM OF SINGULAR INTEGRAL EQUATIONS IN THE THEORY OF ELASTICITY

Demonstratio Mathematica, 1969
Jerzy Chmaj
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Control of Linear Inhomogeneous Systems by the Methods of Singular Integral Equations

Visnyk of Vinnytsia Politechnical Institute, 2018
A. V. Usov, M. V. Kunitsyn
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Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks

Mathematics, 2022
A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
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Controlled Positive Dynamic Systems with an Entropy Operator: Fundamentals of the Theory and Applications

Mathematics, 2021
Controlled dynamic systems with an entropy operator (DSEO) are considered. Mathematical models of such systems were used to study the dynamic properties in demo-economic systems, the spatiotemporal evolution of traffic flows, recurrent procedures for ...
Yuri S. Popkov
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Problems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materials

Archives of Mechanics, 2021
In the present paper the coupled linear theory of double-porosity viscoelastic materials is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated.
M.M. Svanadze
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Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the
S. Ahdiaghdam, S. Shahmorad
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On Some Results of Investigation of Singular Systems of Integro- Differential Equations Obtained by Yu. Ye. Boyarintsev Research Group

Известия Иркутского государственного университета: Серия "Математика", 2017
This paper is dedicated to the 110th anniversary of the dean of the mathematical faculty of Irkutsk State University Vladimir Vladimirovich Vasiliev.
M. V. Bulatov, V. F. Chistyakov
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Finite-part singular integral approximations in Hilbert spaces

International Journal of Mathematics and Mathematical Sciences, 2004
Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
E. G. Ladopoulos, G. Tsamasphyros, V. A. Zisis   +2 more
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