Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications
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
doaj
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
Lipschitz estimates for commutators of singular integral operators associated with the sections. [PDF]
Wang G, Zhou J.
europepmc +1 more source
Trigonometric derived rate of convergence of various smooth singular integral operators
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
doaj
Some classes of singular integral equations of convolution type in the class of exponentially increasing functions. [PDF]
Li P.
europepmc +1 more source
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. [PDF]
Feischl M +3 more
europepmc +1 more source
Quantitative Uniform Approximation by Activated Singular Operators
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
Commutators of singular integral operators satisfying a variant of a Lipschitz condition. [PDF]
Zhang P, Zhang D.
europepmc +1 more source
Osobliwe Równania Całkowe Termosprężystości
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
doaj
ABOUT DIFFERENCE OF SOLUTION SINGULAR DISTURBED AND UNDISTURBED BOUNDARY PROBLEMS
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
doaj

