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
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2006.03.008