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First Kind Cordial Volterra Integral Equations 1 |
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| Authors: | Gennadi Vainikko |
| Institution: | 1. Institute of Mathematics , University of Tartu , Tartu , Estonia gennadi.vainikko@ut.ee |
| Abstract: | For (pure) cordial Volterra integral equations of the first kind, we establish stability estimates of the solution in the scales of Banach spaces of C m -smooth functions on (0, T] and on 0, T]. This enables to estimate the error of polynomial or generalized polynomial approximate solutions which are easy to be determined. |
| Keywords: | Cordial Generalized polynomial solving Integral equations of the first kind Noncompact Volterra integral operators Power series solving Spectrum Stability estimates |