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.
@article{1153, title = {Measure of noncompactness on Lp(RN) and applications}, journal = {CUBO, A Mathematical Journal}, volume = {17}, year = {2015}, language = {en}, url = {http://dml.mathdoc.fr/item/1153} }
Aghajani, A.; O'Regan, D.; Shole Haghighi, A. Measure of noncompactness on Lp(RN) and applications. CUBO, A Mathematical Journal, Tome 17 (2015) 13 p. http://gdmltest.u-ga.fr/item/1153/