Solvability of Volterra-Stieltjes operator-integral equations and their applications

We investigate a class of operator-integral equations of Volterra-Stieltjes type and we study the solvability of those equations in the space of conti nuous functions. Equations in question create a generalization of numerous integral equations considered in nonlinear analysis. The main tool used in our considerations is the technique associated with measures of noncompactn ess. We show the applicability of out. existence result in the study of a f ew integral equations of Volterra type, (C) 2001 Elsevier Science Ltd. All rights reserved.