Results 61 to 70 of about 667,632 (136)

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

open access: yesJournal of Inequalities and Applications, 2008
Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of various problems in the theory of certain classes
Ma Qing-Hua   +2 more
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System of singular integral equations in the problem of electromagnetic oscillations of a graphene-coated dielectric ball

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Boundary value transmission problems for a system of Maxwell's equations are fundamental in electrodynamics. Recently, there has been interest in problems involving the presence of a thin layer of graphene on the surface, which changes the ...
Yu.G. Smirnov, O.V. Kondyrev
doaj   +1 more source

Trigonometric derived rate of convergence of various smooth singular integral operators

open access: yesModern Mathematical Methods
In this article, we continue the study of approximation of various smooth singular integral operators. This time the foundation of our research is a trigonometric Taylor’s formula.
George Anastassiou
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Quantitative Uniform Approximation by Activated Singular Operators

open access: yesMathematics
In this article, we study the approximation properties of activated singular integral operators over the real line. We establish their convergence to the unit operator with rates. The kernels here derive from neural network activation functions and their
George A. Anastassiou
doaj   +1 more source

Osobliwe Równania Całkowe Termosprężystości

open access: yesEngineering Transactions, 1965
The present paper contains a derivation of the integral representation of the general solution of coupled linear elasticity. It is assumed that the material and thermal constants are independent of the temperature and that the vibration is harmonic.
J. Ignaczak, W. Nowacki
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ABOUT DIFFERENCE OF SOLUTION SINGULAR DISTURBED AND UNDISTURBED BOUNDARY PROBLEMS

open access: yesВестник. Серия физическая, 2010
In work obtained the asymptotical convergence of solution singular disturbed integral boundary problem for linear integral differential equation of type Fredholm to solution undisturbed integral boundary problem.
Y.I. Imangaliyev
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