Journal of Inequalities and Applications 
Volume 6 (2001), Issue 6, Pages 625-631
doi:10.1155/S1025583401000376

A Volterra inequality with the power type nonlinear kernel

W. Mydlarczyk

Institute of Mathematics, Technical University of Wrocław, Wybrzeze Wyspianskiego 27, Wrocław 50-367, Poland

Received 20 February 2000; Revised 12 April 2000

Abstract

In the paper, we characterize nonnegative, locally integrable functions k, for which the nonlinear convolution integral inequality u(s)kg(u(s)), with the power type nonlinearity g has nontrivial solutions.