Ravi P. Agarwal, Young-Ho Kim, and S. K. Sen
abstract:
Several linear and nonlinear integral inequalities for multi-variable functions
developed in the literature are presented. These inequalities can be used as
ready and powerful tools in the analysis of various classes of hyperbolic
partial differential, integral, and integro-differential equations. In addition,
some new nonlinear retarded integral inequalities for Gronwall-Bellman-type
multi-variable functions of are established. Applications of some of the
existing inequalities as well as the new ones are included.
Mathematics Subject Classification: 26D10, 26D20, 34K10, 34K12
Key words and phrases: Gronwall type integral inequalities, hyperbolic partial differential equations, hyperbolic partial integro-differential equations, retarded integral inequalities, Wendroff's inequality