About some new integral inequalities of Wendroff type for discontinuous functions |
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| Authors: | Sergiy Borysenko Gerardo Iovane |
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| Institution: | 1. Department of Differential Equations, National Technical University of Ukraine, “KPI” 37 Peremogy Prosp. 03056 Kyiv, Ukraine;2. Department Engineering of Informatics and Applied Mathematics, University of Salerno, Ponte don Melillo str., 84084, Fisciano (Salerno), Italy |
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| Abstract: | In this article, we obtain some new nonlinear integral inequalities for discontinuous functions of two independent variables (Wendroff type) by including also inequalities with delay. We deduce new generalizations of earlier results given by R.P. Agarwal, R. Bellman, I. Bihari, B.K. Bondge, V. Lakshmikantham, S. Leela, B.G. Pachpatte for continuous and discrete functions. Furthermore, generalizations of some results for integro-sum inequalities are obtained as well. |
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| Keywords: | 26D10 26D15 26D20 |
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