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| Author(s) | Olaru Ion Marian |
|---|
Generalization of an integral equation related to some epidemic models
Ion Marian Olaru
Abstract
carpathian_2010_26_1_092_096_abstractIn 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].
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