الكلمات المفتاحية
Functional integral equation, Existence, Monotonic solutions, Urysohn, Compact in measure
ملخص البحث
We study the existence of monotonic solutions for a perturbed functional integral equation of Urysohn type in the space of Lebesgue integrable functions on an unbounded interval. The technique associated with measures of noncompactness (in both the weak and the strong sense) and the Darbo fixed point are the main tool to prove our main result.