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Zbl 1245.45004
Darwish, Mohamed Abdalla
On a perturbed functional integral equation of Urysohn type. (English)
[J] Appl. Math. Comput. 218, No. 17, 8800-8805 (2012). ISSN 0096-3003

Summary: 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.
MSC 2000:
*45G10 Nonsingular nonlinear integral equations

Keywords: functional integral equation; existence; monotonic solutions; Urysohn; compact in measure

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