Results 31 to 40 of about 568,612 (221)
An Asymptotic Model for Solving Mixed Integral Equation in Position and Time
Journal of Mathematics, 2022 In this paper, we considered a mixed integral equation (MIE) of the second kind in the space L2−b,b×C0,T ...
A. R. Jan
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Total positivity of a Cauchy kernel
Journal of Approximation Theory, 2014 We study the total positivity of the kernel $1/(x^2 + 2 \cos(π\a)xy +y^2).$ The case of infinite order is characterized by an application of Schoenberg's theorem. We then give necessary conditions for the cases of any given finite order with the help of Chebyshev polynomials of the second kind.
openaire +4 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In this paper Cauchy problem for a parabolic equation with Bessel operator and with Riemann-Liouville partial derivative is considered. The representation of the solution is obtained in terms of integral transform with Wright function in the kernel.
Fatima G Khushtova
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Cognitive Computation and Systems, 2023 Although Dynamic Movement Primitives (DMP) is an effective tool for robotic arm trajectory generalisation, the application of DMP in the 3C (Computer, Communication, Consumer Electronics) industry still faces challenges such as low precision and high ...
Meng Liu +5 more
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Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
Statics of nonlocal stress driven graded material beam - cauchy distribution approach
Applications in Engineering ScienceNonlocal elasticity theories are essential for modeling size-dependent mechanical behavior in micro- and nano-structured components, yet existing stress-driven formulations rely almost exclusively on rapidly decaying kernels such as the Helmholtz or ...
Indronil Devnath, Mohammad Nazmul Islam
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A Relevance Vector Machine Prediction Method Based on the Biased Wavelet Kernel Function
ITM Web of Conferences, 2017 Relevance Vector Machine (RVM) is an important learning method in the field of machine learning for its sparsity, global optimality and the ability to solve nonlinear problems by using kernel functions. In this paper, a family of biased wavelets was used
Liu Fang +3 more
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The double‐periodic analog of the Cauchy kernel and some its applications
Mathematical Modelling and Analysis, 1998 A new analytic expression for the double‐periodic analog of the Cauchy kernel is proposed and its explicit form is presented. Some applications of this analog are given.
N. A. Dzehtsiarenka, E. I. Zverovich
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