Measure of noncompactness on Lp(RN) and applications
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A. Aghajani
aghajani@iust.ac.ir
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D. O'Regan
donal.oregan@nuigalway.ie
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A. Shole Haghighi
a.sholehaghighi@kiau.ac.ir
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DOI:
https://doi.org/10.4067/S0719-06462015000100007Abstract
In this paper we define a new measure of noncompactness on Lp(IRN) (1 ≤ p < ∞) and study its properties. As an application we study the existence of solutions for a class of nonlinear functional integral equations using Darbo‘s fixed point theorem associated with this new measure of noncompactness.
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