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Solving a Volterra integral equation with weakly singular kernel in the reproducing kernel space. (English) Zbl 1215.65196
The authors present a new method for solving a Volterra integral equation with weakly singular kernel in a reproducing kernel space. The given equation is transformed into a new equivalent equation, the exact solution of which is represented in a reproducing kernel space. Some numerical examples are given.
MSC:
65R20Integral equations (numerical methods)
45D05Volterra integral equations
45E10Integral equations of the convolution type
46E22Hilbert spaces with reproducing kernels