S. Heikkilä,, On the Solvability of Implicit Functional Equations with Applications to Discontinuous Differential Equations, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 223-232
In this paper we shall study the solvability of discontinuous functional equations, and apply the so-obtained results to discontinuous implicit initial value problems in ordered Banach spaces. The proofs are based on fixed point results in ordered spaces proved recently by the author. A concrete example is solved to demonstrate the obtained results.