Integral Inequalities Maxima Scalar Functions of one Variable Differential Equations with "maxima"
University Press "Paisii Hilendarski", Plovdiv
Some new nonlinear integral inequalities that involve the maximum of the unknown scalar function of one variable are solved. The considered
inequalities are generalizations of the classical nonlinear integral inequality of
Bihari. The importance of these integral inequalities is defined by their wide
applications in qualitative investigations of differential equations with "maxima" and it is illustrated by some direct applications.