Geodesic
On the solvability of some nonlinear functional integral equations on L p (R + )
Filomat, Tome 35 (2021) no. 6, p. 1841

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In this paper, we prove theorems on the existence of solutions in Lp (R+), 1 ≤ p ∞, for some functional integral equations. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to so called measure of noncompactness. The obtained results generalize and extend several ones obtained earlier in many papers and monographs. An example which shows the applicability of our results is also included.
DOI : 10.2298/FIL2106841B
Classification : 45G10, 45M99, 47H09
Keywords: Existence, the space of Lebesgue integrable functions, measure of noncompactness 
Mahmoud Bousselsal. On the solvability of some nonlinear functional integral equations on L p (R + ). Filomat, Tome 35 (2021) no. 6, p. 1841 . doi: 10.2298/FIL2106841B
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     title = {On the solvability of some nonlinear functional integral equations on {L} p {(R} + )},
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     year = {2021},
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     doi = {10.2298/FIL2106841B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106841B/}
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