Results 281 to 290 of about 39,241 (326)

PERIODICITY AND SYMMETRY IN A CLASS OF INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS

Far East Journal of Dynamical Systems, 2023
Summary: We introduce the periodic and symmetric properties of the states in a class of weakly singular integral equations. The motivation of this study is due to the main results reported in a previous paper according to which bounded forces produce bounded states in the infinite field. We observe that within finite time, steady states develop.
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A new degenerate kernel method for a weakly singular integral equation

Applied Mathematics and Computation, 2014
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Hamza Guebbai, Laurence Grammont
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A Solvability of a Problem for a Fredholm Integro-Differential Equation with Weakly Singular Kernel

Lobachevskii Journal of Mathematics, 2022
The authors consider a two-point boundary value problem for the following Fredholm integro-differential equation with singular kernel: \[ \frac{dx}{dt}=A(t)x(t)+\int_0^TK(t,s)x(s)ds+f(t), \] \[ Bx(0) + Cx(T)=d,\quad d \in \mathbb{R}^n, \quad t\in[0,T], \] where \(x(t)\) is an unknown \(n\)-vector-function, \(A(t)\) is an \(n\times n\) continuous matrix-
Assanova, A. T., Nurmukanbet, S. N.
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Preconditioners for Solving Stochastic Boundary Integral Equations with Weakly Singular Kernels

Computing, 1999
The paper deals with the singular integral equation \[ \sigma(x)= \int_{G'} a(x,y) k(x-y) \sigma(y) dy+ w(x),\tag{1} \] where \(a\in C^m(G'\times G')\), \(k\in C^{m- 1}(G'\setminus\{0\})\), \(m\geq 1\), \(G'\subseteq \mathbb{R}^d\) and \(w\) is a given process defined on a probability space.
D. Rostami Varnos Fadrani, Khosrow Maleknejad   +1 more
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Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels

Applied Mathematics and Computation, 2019
This paper proposes a quadrature method based on multi-variate Bernstein polynomials. The method is used to solve multidimensional Volterra integral equations with weakly singular kernels.
Yubin Pan, Jin Huang, Yanying Ma
semanticscholar   +1 more source

Regularity of the solution of Hammerstein equations with weakly singular kernel

Integral Equations and Operator Theory, 1990
The authors study a class of Fredholm integral equations of the second kind such as \((1)\quad \phi (s)-\int^{b}_{a}g_{\alpha}(| s- t|)k(s,t)\phi (t)dt=f(s),\quad a\leq s\leq b\) where \(g_{\alpha}(s)=s^{\alpha -1}\text{ for ...
Kaneko, Hideaki, Noren, Richard, Xu, Yuesheng   +2 more
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Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels

SIAM Journal on Numerical Analysis, 1983
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An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

Numerical Mathematics: Theory, Methods and Applications, 2019
This paper presents an hp-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels.
Hong-Li Jia
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A discretization of Volterra integral equations of the third kind with weakly singular kernels

Journal of Inverse and Ill-Posed Problems, 1997
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Prößdorf, Siegfried, Pereverzev, Sergei V.   +1 more
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Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel

Computer Methods in Applied Mechanics and Engineering, 2003
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Adolfsson, Klas, Enelund, Mikael, Larsson, Stig   +2 more
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