» Generalization of an integral equation related to some epidemic models

Generalization of an integral equation related to some epidemic models

Abstract

carpathian_2010_26_1_092_096_abstract

In the paper An integral equation via weakly Picard operators (to appear in Fixed Point Theory, 10 (2010)), the author I. M. Olaru has studied the following integral equation x(t) = [g1(t) + Zt a K(t, s, x(s))ds] · [g2(t) + Zt a K2(t, s, x(s))ds], t ∈ [a, b]. In this paper, by using fixed point results for the operators defined on cartesian product, the following integral equation x(t) = Ym i=1 Ai(x)(t), t ∈ [a, b], where Ai : C[a, b] → C[a, b].