This volume constitutes the first part of a monograph on theory and
applications of differential and integral inequalities. 'The entire work,
as a whole, is intended to be a research monograph, a guide to the
literature, and a textbook for advanced courses. The unifying theme of
this treatment is a systematic development of the theory and applications
of differential inequalities as well as Volterra integral inequalities. The
main tools for applications are the norm and the Lyapunov functions.
Familiarity with real and complex analysis, elements of general topology
and functional analysis, and differential and integral equations is
assumed