Nonlinear integral inequalities involving maxima of unknown scalar functions

نویسندگان

  • Johnny Henderson
  • Snezhana G. Hristova
چکیده

This paper deals with some nonlinear integral inequalities that involve the maximum of the unknown scalar function of one variable. 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 qualitative investigations of differential equations with “maxima”, and it is illustrated by some direct applications. Mathematics subject classification (2010): 26D10, 34D40.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2011