On some nonlinear integrodifferential inequalities for functions of \(n\) independent variables (Q541808)

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scientific article; zbMATH DE number 5905132
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On some nonlinear integrodifferential inequalities for functions of \(n\) independent variables
scientific article; zbMATH DE number 5905132

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    On some nonlinear integrodifferential inequalities for functions of \(n\) independent variables (English)
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    8 June 2011
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    Summary: The object of this paper is to establish some nonlinear integrodifferential integral inequalities in \(n\) independent variables. These new inequalities represent a generalization of the results obtained by \textit{B. G. Pachpatte} [J. Math. Anal. Appl. 73, 491--500 (1980; Zbl 0451.26011)] in the case of a function with one and two variables. Our results can be used as tools in the qualitative theory of a certain class of partial integrodifferential equations.
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