Results 31 to 40 of about 667,632 (136)
Regularity of the minimiser of one-dimensional interaction energies
, 2019 We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups,
Kimura, M., van Meurs, P.
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A kind of boundary value problem for inhomogeneous partial differential system
Journal of Inequalities and Applications, 2016 In this article, we first define a kind of generalized singular integral operator and discuss its properties. Then we propose a kind of boundary value problem for an inhomogeneous partial differential system in R 4 $R^{4}$ .
Yuying Qiao, Liping Wang, Guanmin Yang
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Singular stochastic integral operators
, 2020 In this paper we introduce Calder\'on-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove $L^p$-extrapolation results under a H\"ormander condition on the kernel.
Lorist, Emiel, Veraar, Mark
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Журнал Белорусского государственного университета: Математика, информатика, 2019 The paper is constructed and proved computational scheme for a solution of singular Prandtl of integro-differential equations with singular integral over the interval of the real axis, understood in the sense of the Cauchy principal value.
Galina A. Rasolko
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IET Microwaves, Antennas & Propagation, 2021 The Carleman method of analytical regularization is used to model the plane E‐polarized electromagnetic wave scattering by flat grating of a finite number of impedance strips. It is based on a modification of the singular integral equation technique, the
George I. Koshovy, Andrew G. Koshovy
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Karpatsʹkì Matematičnì Publìkacìï, 2023 We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
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Gevrey expansions of hypergeometric integrals II
, 2019 We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of its singular support, is the ...
Castro-Jiménez, Francisco-Jesús +2 more
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Analogue Sochocky formulae for integral operators with additional logarithmic singularity
Журнал Белорусского государственного университета: Математика, информатика, 2018 In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators.
Vitold V. Kashevski
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Наука. Инновации. Технологии, 2022 The case of ordinary differential equations of second order with functions known approximately describes a method that allows you to match the original equation corre-sponding integral Fredholm equation of the first kind and to find its numerical ...
Viktoria I. Naats +2 more
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H-polarized plane wave scattering by graphene strip grating on top of a dielectric substrate
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2022 Relevance. Graphene is relatively new material which properties can be controlled dynamically under external influence by applying electrostatic or magnetostatic field. Also graphene can absorb electromagnetic field. Graphene strips with substrate can be
M.E. Kaliberda, S. A. Pogarsky
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