Results 11 to 20 of about 29,720 (316)
Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
R P Agarwal, D O´Regan
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Analysis, 2023 Abstract In this paper, we prove that for n 2 -
Maity, Arup, Mondal, Shyam Swarup
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BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
Tạp chí Khoa học Đại học Đà Lạt, 2022 In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets and applications to the decay of oscillatory integrals and the convergence of singular integrals.
Loi Le Ta, Minh Quy Pham
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Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces
Journal of Function Spaces, 2023 In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
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Three-Dimensional Elastodynamic Analysis Employing Partially Discontinuous Boundary Elements
Algorithms, 2021 Compared with continuous elements, discontinuous elements advance in processing the discontinuity of physical variables at corner points and discretized models with complex boundaries.
Yuan Li +4 more
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Efficient algorithms for integrals with highly oscillatory Hankel kernels
Results in Applied Mathematics, 2022 We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
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On approximation of two-dimensional potential and singular operators [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane.
Charyyar Ashyralyyev, Sedanur Efe
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On commutators of singular integrals and bilinear singular integrals [PDF]
Transactions of the American Mathematical Society, 1975 LP estimates for multilinear singular integrals generalizing Calderon's commutator integral are obtained. The methods introduced involve Fourier and Mellin analysis. 1. In this paper we introduce new methods to obtain estimates for commutators of singular integrals as well as other related operators. Let A(f) = A(x)f(x) and H(f) = pvff(t)dt/(x t).
Coifman, R. R., Meyer, Yves
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Singular Higher Order Divergence-Conforming Bases of Additive Kind and Moments Method Applications to 3D Sharp-Wedge Structures [PDF]
, 2008 We present new subsectional, singular divergence conforming vector bases that incorporate the edge conditions for conducting wedges. The bases are of additive kind because obtained by incrementing the regular polynomial vector bases with other ...
GRAGLIA, Roberto +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2019 In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
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