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A note on blow-up solutions to some nonlinear Volterra integral equations |
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| Authors: | Tomasz Ma?olepszy Maciej Niedziela |
| Affiliation: | Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland |
| Abstract: | In this paper we investigate certain nonlinear Volterra integral equations with the power nonlinearity. The basic results provide a criterion involving the kernel and the nonlinearity for the existence of the nontrivial and blow-up solution. |
| Keywords: | Nonlinear Volterra integral equation Existence of nontrivial solution Blow-up solution |
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