Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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Singular integral inequalities with several nonlinearities and integral equations with singular kernels [PDF]
Nonlinear Oscillations, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Solution of Quadratic Nonlinear Integral Equation with Different Singular Kernels [PDF]
Mathematical Problems in Engineering, 2020 All the previous authors discussed the quadratic equation only with continuous kernels by different methods. In this paper, we introduce a mixed nonlinear quadratic integral equation (MQNLIE) with singular kernel in a logarithmic form and Carleman type. An existence and uniqueness of MQNLIE are discussed.
M. Basseem, Ahmad Alalyani
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H ? filtering for stochastic singular fuzzy systems with time-varying delay [PDF]
, 2014 This paper considers the H? filtering problem for stochastic singular fuzzy systems with timevarying delay. We assume that the state and measurement are corrupted by stochastic uncertain exogenous disturbance and that the system dynamic is modeled ...
Cai, Min +3 more
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Boundary Value Problems, 2022 We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0 $t=0$ , 1.
Debao Yan
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces [PDF]
, 2009 summary:A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach ...
Amer, Samir M. +2 more
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A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem [PDF]
Transactions of the American Mathematical Society, 1984 We study the Cauchy problem \[ {
Höllig, Klaus, Nohel, John A.
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Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations
CoRR, 2022 25 pages, 4 figures, 4 ...
Mario Ahues +3 more
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