Results 141 to 150 of about 341 (180)

Fredholm–Volterra integral equation with singular kernel

Applied Mathematics and Computation, 2003
The author considers the Fredholm-Volterra integral equation of the second kind \[ \delta\phi(x,t)+\int\limits_{-1}^1 \left| \ln| y-x| -d\right| \phi(y,t)\,dy+\int\limits_0^t F(\tau)\phi(x,\tau) \,d\tau=f(x,t),\tag{1} \] where \(| x| \leq1,\) \( t\in[0,T],\) \(\lambda\in(0,\infty),\) \(\delta\in(0,\infty]\), with a specific right-hand side \(f(x,t ...
M A Abdou
exaly   +2 more sources

Solution of a class of Volterra integral equations with singular and weakly singular kernels

Applied Mathematics and Computation, 2008
The purpose of the paper is to derive the solution to a Volterra integral equation \[ y(t)=g(t)+\int^t_0\frac{s^{\mu-\nu}}{t^\mu}y(s)\,ds\quad ...
Xian-Fang Li
exaly   +2 more sources

Solution of a Singular Integral Equation of Volterra Type of the Second Kind

Lobachevskii Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramazanov, M. I.   +3 more
exaly   +3 more sources

On a weakly singular Volterra integral equation

CALCOLO, 1981
The need for providing reliable numerical methods for the solution of weakly singular Volterra integral equations of first kind stems from the fact that they are connected to important problems in the theory and applications of stochastic processes. In the first section the above problems and some peculiarities of such equations are briefly sketched ...
Favella, L. F., De Griffi, E. M.
openaire   +3 more sources

Singular perturbation analysis of a certain volterra integral equation

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1972
An investigation is made of the asymptotic behavior of the solutionu(t;e) to the Volterra integral equation $$\varepsilon u(t;\varepsilon ) = \pi ^{ - \tfrac{1}{2}} \int\limits_0^t {(t - s)^{ - \tfrac{1}{2}} [f(s) - u^n (s;\varepsilon )]} ds, t \geqslant 0, n \geqslant 1$
Olmstead, W. E., Handelsman, Richard A.
openaire   +1 more source

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