Singular volterra integral equation

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

volterra integral equations
singular nonlinear integral equations
mathematics

numerical methods for integral equations
volterra integral equation
collocation method

weakly singular kernel
singular integral equations
weakly singular kernels