Integral Inequalities and Applications to Partial Differential Equations with “Maxima”
Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 213-217.

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This paper deals with some nonlinear integral inequalities that involve the maximum of the unknown scalar function of two variables. The considered inequalities are generalizations of the classical integral inequality of Gronwall-Bellman. The importance of these integral inequalities is due to their wide applications in the qualitative investigations of partial differential equations with “maxima” and it is illustrated by some direct applications. *2000 Mathematics Subject Classification: 26D10, 34D40.
Keywords: Integral Inequalities, Maxima, Partial Differential Equations with “Maxima”
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Stefanova, Kremena. Integral Inequalities and Applications to Partial Differential Equations with “Maxima”. Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 213-217. http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a20/