Journal of Inequalities and Applications 
Volume 5 (2000), Issue 3, Pages 287-308
doi:10.1155/S102558340000014X

Nonlinear singular integral inequalities for functions in two and n independent variables

Milan Medveď

 Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Mlynská dolina, Bratislava 842 15, Slovakia
Received 10 March 1999; Revised 12 July 1999

Abstract

In this paper nonlinear integral inequalities with weakly singular kernels for functions in two and n independent variables are solved. The obtained results are related to the well known Gronwall–Bihari and Henry inequalities for functions in one variable and the Wendroff inequality for functions in two variables. A modification of Ou–Iang–Pachpatte inequality and inequalities for functions in n independent variables are also treated here.