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Fredholm–Volterra integral equation with singular kernel
Applied Mathematics and Computation, 2003The 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 ...
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Solution of a class of Volterra integral equations with singular and weakly singular kernels
Applied Mathematics and Computation, 2008The 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 ...
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Solution of a Singular Integral Equation of Volterra Type of the Second Kind
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On a weakly singular Volterra integral equation
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Singular perturbation analysis of a certain volterra integral equation
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