Nonnegative solutions are established for nonlinear integral equations where the nonlinearity G(t, y) may be singular at y = 0. Existence is established using the Leray–Schauder alternative. c © 2007 Elsevier Ltd. All rights reserved.

In this article, we consider systems of integral-algebraic and integro-differential equations with weakly singular kernels. In the first part, we deal with two-dimensional integralalgebraic equations. Next, we analyze Volterra integral equations of the first kind with a degenerate matrix-kernel on the diagonal. Finally, the third part of the work is devoted to the analysis of degenerate integro...