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Blow-up time for solutions to some nonlinear Volterra integral equations |
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| Authors: | Tomasz Ma?olepszy,Wojciech Okrasiñ ski |
| Affiliation: | a Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland b Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland |
| Abstract: | The problem of the estimating of a blow-up time for solutions of Volterra nonlinear integral equation with convolution kernel is studied. New estimates, lower and upper, are found and, moreover, the procedure for the improvement of the lower estimate is presented. Main results are illustrated by examples. The new estimates are also compared with some earlier ones related to a shear band model. |
| Keywords: | Volterra equation Nonlinear integral equations Blow-up time |
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