Corduneanu, C. (ed.), Qualitative problems for differential equations and control theory. Dedicated to Aristide Halanay on occasion of his 70th birthday. Singapore: World Scientific. 121-131 (1995).
The paper deals with integral equations on the positive half-axis
under suitable conditions to secure the existence of at least one solution. The method is based on the Schauder-Tikhonov fixed point theorem in the space of continuous maps from into , with the topology of uniform convergence on finite intervals. The author also applies a continuation theorem due to M. Furi and M. P. Pera [Pac. J. Math. 160, No. 2, 219-244 (1993; Zbl 0784.58050)]. In particular, existence of bounded solutions is secured for the equation (E).