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First Kind Cordial Volterra Integral Equations 2 |
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| Authors: | Gennadi Vainikko |
| Affiliation: | 1. Institute of Mathematics , University of Tartu , Tartu , Estoniaand Estonian Academy of Sciences, Tallinn, Estoniagennadi.vainikko@ut.ee |
| Abstract: | We reduce a cordial Volterra integral equation of the first kind to a cordial integral equation of the second kind and establish a unique solvability of those in the scales of Banach spaces of C m -smooth functions on [0, T] and (0, T]. Stability estimates w.r.t. perturbation of data are derived. Polynomial and spline collocation methods are discussed for the solving the equation. |
| Keywords: | Cordial Chebyshev collocation Generalized Abel equation Integral equations of the first kind Inversion of cordial operators Noncompact Volterra integral operators Polynomial collocation Stability estimates Spline collocation |