Results 231 to 240 of about 553 (265)

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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On the Hammerstein integral equation with weakly singular kernel

Funkcialaj Ekvacioj, 1991
Let \(E,F\) be Banach spaces and let \(D\) be a compact subset in the Euclidean space \(R^ m\), \(L^ p(D,E)\) \((P>1)\) is a space of all strongly measurable functions \(X:D\to E\) with \(\int_ 0\| x ...
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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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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adolfsson, Klas, Enelund, Mikael, Larsson, Stig   +2 more
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Resolvents for weakly singular kernels and fractional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2012
The resolvent matrix equation \[ R(t,s) = B(t,s) + \int\limits_s^t B(t,u) R(u,s) du, \] where \(B(t,s)\) denotes a given weakly singular matrix is studied. The solution \(R(t,s)\) is obtained by means of fixed point mappings. The result is a series that begins with some singular terms after which the remainder of the terms defines a continuous function.
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Matrix Method by Genocchi Polynomials for Solving Nonlinear Volterra Integral Equations with Weakly Singular Kernels

Symmetry, 2020
Elham Hashemizadeh, Samad Noeiaghdam, Noeiaghdam Samad   +2 more
exaly  

An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels

Applied Numerical Mathematics, 2021
Lijun Yi
exaly