About some new integral inequalities of Wendroff type for discontinuous functions

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. Laksh...

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Veröffentlicht in:Nonlinear analysis 2007-05, Vol.66 (10), p.2190-2203
Hauptverfasser: Borysenko, Sergiy, Iovane, Gerardo
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description 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.
doi_str_mv 10.1016/j.na.2006.03.008
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subjects Discontinuous functions
Exact sciences and technology
Integral inequalities
Integro-sum inequalities
Mathematical analysis
Mathematics
Real functions
Sciences and techniques of general use
title About some new integral inequalities of Wendroff type for discontinuous functions
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